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Stability of Certain Non-Autonomous Cooperative Systems of Difference Equations with the Application to Evolutionary Dynamics
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2024
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M. R. S. Kulenović
Mehmed Nurkanović
Zehra Nurkanović
Susan Trolle
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The Rate of Convergence of a Certain Mixed Monotone Difference Equation
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2024
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M. R. S. Kulenović
Mehmed Nurkanović
Zehra Nurkanović
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Neimark–Sacker bifurcation of two second-order rational difference equations
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2024
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M. R. S. Kulenović
Conleth O’Loughlin
E. Pilav
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Basins of Attraction of Equilibrium Points of Monotone Difference Equations
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2024
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A. Brett
M. R. S. Kulenović
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Period-Two Trichotomies of a Difference Equation of Order Higher Than Two
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2024
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Dževad Burgić
S. Kalabuˇsić
M. R. S. Kulenović
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Global dynamics results for a class of planar cooperative maps
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2023
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M. R. S. Kulenović
Jacqueline L. Marcotte
Orlando Merino
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Global Dynamics of Modified Discrete Lotka-Volterra Model
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2023
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M. R. S. Kulenović
Sarah Van Beaver
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Asymptotic behavior of a discrete-time density-dependent SI epidemic model with constant recruitment
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2021
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M. R. S. Kulenović
Mehmed Nurkanović
Abdul‐Aziz Yakubu
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Properties of basins of attraction for planar discrete cooperative maps
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2020
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M. R. S. Kulenović
Jacqueline L. Marcotte
Orlando Merino
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Global Dynamics of Delayed Sigmoid Beverton–Holt Equation
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2020
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Toufik Khyat
M. R. S. Kulenović
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Global Dynamics of Certain Mix Monotone Difference Equation via Center Manifold Theory and Theory of Monotone Maps
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2020
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M. R. S. Kulenović
Mehmed Nurkanović
Zehra Nurkanović
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Global dynamics of monotone second order difference equation
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2020
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Senada Kalabušić
M. R. S. Kulenović
Midhat Mehuljić
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Global dynamics and bifurcations of two second order difference equations in mathematical biology
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2020
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M. R. S. Kulenović
Sarah Van Beaver
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Global Dynamics of a Cooperative System with Ceiling Density Dependence
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2019
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M. R. S. Kulenović
Sarah Van Beaver
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Global Dynamics of Leslie-Gower Competitive Systems in the Plane
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2019
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M. R. S. Kulenović
David McArdle
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Birkhoff normal forms, KAM theory and continua of periodic points for certain planar system
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2019
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M. R. S. Kulenović
E. Pilav
Naida Mujić
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Global Asymptotic Stability and Naimark-Sacker Bifurcation of Certain Mix Monotone Difference Equation
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2018
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M. R. S. Kulenović
Samra Moranjkić
Mehmed Nurkanović
Zehra Nurkanović
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Global Behavior of Certain Nonautonomous Linearizable Three Term Difference Equations
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2018
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E.J. Janowski
M. R. S. Kulenović
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Invariant curves for planar competitive and cooperative maps
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2018
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M. R. S. Kulenović
Orlando Merino
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Global Dynamics of Higher-Order Transcendental-Type Generalized Beverton–Holt Equations
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2018
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Elliott J. Bertrand
M. R. S. Kulenović
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Naimark-Sacker bifurcation of second order rational difference equation with quadratic terms
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2017
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M. R. S. Kulenović
Samra Moranjkić
Zehra Nurkanović
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Bifurcation and Global Dynamics of a Leslie-Gower Type Competitive System of Rational Difference Equations with Quadratic Terms
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2017
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Vahidin Hadžiabdić
M. R. S. Kulenović
E. Pilav
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Global attractivity for nonautonomous difference equation via linearization
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2017
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Arzu Bilgin
M. R. S. Kulenović
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The Naimark-Sacker bifurcation and symptotic approximation of the invariant curve of a certain difference equation
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2017
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Toufik Khyat
M. R. S. Kulenović
E. Pilav
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Birkhoff Normal Forms, KAM Theory and Time Reversal Symmetry for Certain Rational Map
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2016
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Erin Denette
M. R. S. Kulenović
E. Pilav
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Basins of attraction of period-two solutions of monotone difference equations
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2016
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Arzu Bilgin
M. R. S. Kulenović
E. Pilav
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Global Dynamics and Bifurcations of Two Quadratic Fractional Second Order Difference Equations
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2016
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Senada Kalabušić
M. R. S. Kulenović
Midhat Mehuljić
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Local Dynamics and Global Stability of Certain Second-Order Rational Difference Equation with Quadratic Terms
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2016
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Sabina Hrustić
M. R. S. Kulenović
Mehmed Nurkanović
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ASYMPTOTIC APPROXIMATIONS OF THE STABLE AND UNSTABLE MANIFOLD OF THE FIXED POINT OF A CERTAIN RATIONAL MAP BY USING FUNCTIONAL EQUATIONS
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2016
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M. R. S. Kulenović
E. Pilav
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Asymptotic approximations of a stable and unstable manifolds of a two-dimensional quadratic map
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2016
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Jasmin Bektešević
M. R. S. Kulenović
E. Pilav
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Global Dynamics and Bifurcations of Certain Second Order Rational Difference Equation with Quadratic Terms
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2015
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Sabina Hrustić
M. R. S. Kulenović
Mehmed Nurkanović
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Global dynamics of cubic second order difference equation in the first quadrant
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2015
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Jasmin Bektešević
M. R. S. Kulenović
E. Pilav
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Global asymptotic stability for quadratic fractional difference equation
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2015
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Mark Dipippo
E.J. Janowski
M. R. S. Kulenović
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Basins of Attraction for Two-Species Competitive Model with Quadratic Terms and the Singular Allee Effect
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2015
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A. Brett
M. R. S. Kulenović
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Asymptotic Approximations of the Stable and Unstable Manifolds of Fixed Points of a Two-dimensional Cubic Map
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2015
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Jasmin Betešević
M. R. S. Kulenović
E. Pilav
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Birkhoff Normal Forms, KAM Theory and Symmetries for Certain Second Order Rational Difference Equation with Quadratic Term
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2015
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Sabina Jašarević-Hrustić
Zehra Nurkanović
M. R. S. Kulenović
E. Pilav
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Two species competitive model with the Allee effect
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2014
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A. Brett
M. R. S. Kulenović
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Dynamics of a two-dimensional competitive system of rational difference equations with quadratic terms
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2014
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Vahidin Hadžiabdić
M. R. S. Kulenović
E. Pilav
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Global Asymptotic Stability for Linear Fractional Difference Equation
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2014
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A. Brett
E.J. Janowski
M. R. S. Kulenović
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Local dynamics and global attractivity of a certain second-order quadratic fractional difference equation
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2014
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M. R. S. Kulenović
E. Pilav
Enesa Silić
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Global Period-Doubling Bifurcation of Quadratic Fractional Second Order Difference Equation
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2014
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Senada Kalabušić
M. R. S. Kulenović
Midhat Mehuljić
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Global dynamics of quadratic second order difference equation in the first quadrant
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2013
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Jasmin Bektešević
M. R. S. Kulenović
E. Pilav
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Basins of attraction of equilibrium and boundary points of second-order difference equations
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2013
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S. Jašarević
M. R. S. Kulenović
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Global dynamics of an anti-competitive system of rational difference equations in the plane
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2013
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Senada Kalabušić
M. R. S. Kulenović
E. Pilav
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Global Dynamics of Certain Homogeneous Second-Order Quadratic Fractional Difference Equation
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2013
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Mirela Garić‐Demirović
M. R. S. Kulenović
Mehmed Nurkanović
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Existence of a Period-Two Solution in Linearizable Difference Equations
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2013
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E.J. Janowski
M. R. S. Kulenović
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PDF
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Global Dynamics of Three Anticompetitive Systems of Difference Equations in the Plane
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2013
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Mark Dipippo
M. R. S. Kulenović
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Basins of attraction of equilibrium points of second order difference equations
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2012
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Mirela Garić‐Demirović
M. R. S. Kulenović
Mehmed Nurkanović
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Global behavior of a two-dimensional competitive system of difference equations with stocking
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2011
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M. R. S. Kulenović
Mehmed Nurkanović
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Global dynamics of certain competitive system in the plane
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2011
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M. R. S. Kulenović
Orlando Merino
Mehmed Nurkanović
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PDF
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Dynamics of a two-dimensional system of rational difference equations of Leslie--Gower type
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2011
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Senada Kalabušić
M. R. S. Kulenović
E. Pilav
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Dynamics of certain anti-competitive systems of rational difference equations in the plane
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2011
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Senada Kalabušić
M. R. S. Kulenović
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Global attractivity results in partially ordered complete metric spaces
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2011
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A. Brett
M. R. S. Kulenović
Senada Kalabušić
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Multiple Attractors for a Competitive System of Rational Difference Equations in the Plane
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2011
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Senada Kalabušić
M. R. S. Kulenović
E. Pilav
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INVARIANT MANIFOLDS FOR COMPETITIVE DISCRETE SYSTEMS IN THE PLANE
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2010
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M. R. S. Kulenović
Orlando Merino
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Global Attractivity Results for Mixed-Monotone Mappings in Partially Ordered Complete Metric Spaces
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2009
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Dž Burgić
S. Kalabušić
M. R. S. Kulenović
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Rational systems in the planeEdited by Gerry LadasIn this section, we present some open problems and conjectures about some interesting types of difference equations. Please submit your problems and conjectures with all relevant information to G. Ladas: [email protected]
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2009
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E. Camouzis
M. R. S. Kulenović
G. Ladas
Orlando Merino
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Global Dynamics of a Competitive System of Rational Difference Equations in the Plane
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2009
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Senada Kalabušić
M. R. S. Kulenović
E. Pilav
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Global Behavior of Four Competitive Rational Systems of Difference Equations in the Plane
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2009
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Mirela Garić‐Demirović
M. R. S. Kulenović
Mehmed Nurkanović
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Global bifurcation for discrete competitive systems in the plane
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2009
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M. R. S. Kulenović
Orlando Merino
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Global behavior of two competitive rational systems of difference equations in the plane
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2009
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A. Brett
M. R. S. Kulenović
Mirela Garić‐Demirović
Mehmed Nurkanović
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Attractivity and global stability for linearizable difference equations
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2008
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E.J. Janowski
M. R. S. Kulenović
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Stability analysis of Pielou's equation with period-two coefficient
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2007
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M. R. S. Kulenović
Orlando Merino
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CONVERGENCE TO A PERIOD-TWO SOLUTION FOR A CLASS OF SECOND ORDER RATIONAL DIFFERENCE EQUATIONS
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2007
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M. R. S. Kulenović
Orlando Merino
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STABILITY OF THE kTH ORDER LYNESS' EQUATION WITH A PERIOD-k COEFFICIENT
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2007
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E.J. Janowski
M. R. S. Kulenović
Zehra Nurkanović
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Global Asymptotic Behavior of
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2007
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A. Brett
M. R. S. Kulenović
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A global attractivity result for maps with invariant boxes
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2006
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M. R. S. Kulenović
Orlando Merino
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Asymptotic behavior of a competitive system of linear fractional difference equations
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2006
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M. R. S. Kulenović
Mehmed Nurkanović
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Competitive-exclusion versus competitive-coexistence for systems in the plane
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2006
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M. R. S. Kulenović
Orlando Merino
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On a system of rational difference equations
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2005
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Carol Clark
M. R. S. Kulenović
James F. Selgrade
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Global behavior of a three-dimensional linear fractional system of difference equations
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2005
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M. R. S. Kulenović
Zehra Nurkanović
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Stability of the Gumowski–Mira equation with period-two coefficient
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2005
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Carol Clark
E.J. Janowski
M. R. S. Kulenović
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The amplitudes of nonlinear oscillations
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2005
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M. R. S. Kulenović
Nabil Moussa
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Asymptotic behavior of a system of linear fractional difference equations
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2005
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M. R. S. Kulenović
Mehmed Nurkanović
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Progress Report on Rational Difference Equations
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2004
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E.A. Grove
M. R. S. Kulenović
G. Ladas
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On the Dynamics of with a Period-two Coefficient
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2004
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M. R. S. Kulenović
G. Ladas
C.B. Overdeep
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Dynamics of the Recursive Sequence
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2004
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Senada Kalabušić
M. R. S. Kulenović
C.B. Overdeep
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Rate of convergence of solutions of rational difference equation of second order
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2004
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Senada Kalabušić
M. R. S. Kulenović
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Open Problems and Conjectures: Edited by Gerry Ladas
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2003
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M. R. S. Kulenović
G. Ladas
C.B. Overdeep
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On the Recursive Sequence
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2003
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Senada Kalabušić
M. R. S. Kulenović
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Nonoscillatory solutions for system of neutral delay equation
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2003
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H. El-Metwally
M. R. S. Kulenović
S. Hadžiomerspahić
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The dynamics of χn+1=α+βχnA+Bχn+Cxn-1 facts and conjectures
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2003
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M. R. S. Kulenović
G. Ladas
Luciana F. Martins
I. W. Rodrigues
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Global Asymptotic Behavior of a Two-dimensional System of Difference Equations Modeling Cooperation
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2003
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M. R. S. Kulenović
Mehmed Nurkanović
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Global Asymptotic Behavior of a Two-dimensional System of Difference Equations Modeling Cooperation
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2003
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M. R. S. Kulenović
Mehmed Nurkanović
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Global asymptotic behavior of a two-dimensional difference equation modelling competition
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2002
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Dean Clark
M. R. S. Kulenović
James F. Selgrade
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PDF
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On the stability of solutions of certain systems of differential equations with piecewise constant argument
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2002
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S. R. Grace
M. R. S. Kulenović
H. El-Metwally
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A coupled system of rational difference equations
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2002
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Dean Clark
M. R. S. Kulenović
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Ch 3 Systems of Difference Equations, Stability, and Semicycles
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2002
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M. R. S. Kulenović
Orlando Merino
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Ch 6 Fractals Generated by Iterated Function Systems
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2002
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M. R. S. Kulenović
Orlando Merino
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Ch 4 Invariants and Related Lyapunov Functions
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2002
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M. R. S. Kulenović
Orlando Merino
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On the Trichotomy Character of x n +1 =(α+β x n +γ x n −1 )/( A + x n )
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2002
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C. H. Gibbons
M. R. S. Kulenović
G. Ladas
H.D. Voulov
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Dynamics of Second Order Rational Difference Equations: With Open Problems and Conjectures
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2001
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M. R. S. Kulenović
G. Ladas
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A rational difference equation
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2001
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M. R. S. Kulenović
G. Ladas
N.R. Prokup
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Existence of nonoscillatory solution for linear neutral delay equation
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2001
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M. R. S. Kulenović
S. Hadžiomerspahić
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The asymptotic behavior of nonoscillatory solutions of some nonlinear differential equations
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2000
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M. R. S. Kulenović
Ć. Ljubović
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On the Recursive Sequence yn+1=(p+yn−1)/(qyn+yn−1)
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2000
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Witold Kosmala
M. R. S. Kulenović
G. Ladas
Christopher Teixeira
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Invariants and related Liapunov functions for difference equations
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2000
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M. R. S. Kulenović
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All solutions of the equilibrium capillary surface equation are oscillatory
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2000
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M. R. S. Kulenović
Ć. Ljubović
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Necessary and Sufficient Conditions for the Oscillation of a Second Order Linear Differential Equation
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2000
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M. R. S. Kulenović
Ć. Ljubović
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None
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2000
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M. R. S. Kulenović
Ć. Ljubović
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On the recursive sequence
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2000
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M. R. S. Kulenović
G. Ladas
N.R. Prokup
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Existence of Nonoscillatory Solution of Second Order Linear Neutral Delay Equation
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1998
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M. R. S. Kulenović
S. Hadžiomerspahić
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PDF
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Oscillation of the Euler differential equation with delay
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1995
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M. R. S. Kulenović
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PDF
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On a logistic equation with piecewise constant arguments
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1991
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K. Gopalsamy
M. R. S. Kulenović
G. Ladas
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PDF
Chat
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Comparison results for oscillations of delay equations
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1990
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M. R. S. Kulenović
G. Ladas
Y. G. Sficas
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Oscillations and global attractivity in models of hematopoiesis
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1990
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K. Gopalsamy
M. R. S. Kulenović
G. Ladas
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Oscillations of a system of delay logistic equations
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1990
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K. Gopalsamy
M. R. S. Kulenović
G. Ladas
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A Myskis‐Type Comparison Result for Neutral Equations
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1990
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E.A. Grove
M. R. S. Kulenović
G. Ladas
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Global attractivity in population dynamics
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1989
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M. R. S. Kulenović
G. Ladas
Y. G. Sficas
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Some comparison and oscillation results for first-order differential equations and inequalities with a deviating argument
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1988
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M. R. S. Kulenović
M. K. Grammatikopoulos
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PDF
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Oscillations of the sunflower equation
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1988
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M. R. S. Kulenović
G. Ladas
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Time lags in a “food–limited” population
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1988
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K. Gopalsamy
M. R. S. Kulenović
G. Ladas
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+
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Linearized oscillations in population dynamics
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1987
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M. R. S. Kulenović
G. Ladas
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+
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Sufficient conditions for oscillation and nonoscillation of neutral equations
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1987
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E.A. Grove
M. R. S. Kulenović
G. Ladas
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Stability of Solutions of Linear Delay Differential Equations
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1987
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M. R. S. Kulenović
G. Ladas
A. Meimaridou
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PDF
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Stability of solutions of linear delay differential equations
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1987
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M. R. S. Kulenović
G. Ladas
A. Meimaridou
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Necessary and sufficient condition for oscillations of neutral differential equations
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1987
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M. R. S. Kulenović
G. Ladas
A. Meimaridou
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On oscillation of nonlinear delay differential equations
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1987
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M. R. S. Kulenović
G. Ladas
A. Meimaridou
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Asymptotic Behavior of Solutions of Elliptic Differential Equations via Ordinary Differential Inequalities
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1986
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M. R. S. Kulenović
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Oscillatory and Asymptotic Properties of First Order Differential Equations and Inequalities with a Deviating Argument
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1985
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M. K. Grammatikopoulos
M. R. S. Kulenović
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First order functional differential inequalities with oscillating coefficients
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1984
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M. R. S. Kulenović
M. K. Grammatikopoulos
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Stability of the asymptotic behavior of solutions of nonlinear differential inequalities relative to a lag in the argument
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1984
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M. R. S. Kulenović
M. K. Grammatikopoulos
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Maintenance of oscillatory and asymptotic behaviour of solutions of differential inequalities under the effect of advanced and mixed argument
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1984
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M. R. S. Kulenović
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On the nonexistence of <i>L</i><sup>2</sup>-solutions of <i>n</i>th order differential equations
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1981
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M. K. Grammatikopoulos
M. R. S. Kulenović
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On the asymptotic behavior of second order differential inequalities with alternating coefficients
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1980
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M. R. S. Kulenović
M. K. Grammatikopoulos
|