Rodrigo López Pouso

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All published works

Action	Title	Year	Authors
+	Existence of solutions for discontinuous systems of Stieltjes differential equations	2025	Víctor Cora Rodrigo López Pouso
+	Fourier Series for Nonperiodic Functions	2024	Rodrigo López Pouso
+	Existence and uniqueness of Carathéodory and Filippov solutions for discontinuous systems of differential equations	2024	Rodrigo López Pouso Jorge Rodríguez López
+ PDF Chat	A roller coaster approach to integration and Peano's existence theorem	2023	Rodrigo López Pouso
+	Fourier series for nonperiodic functions	2023	Rodrigo López Pouso
+	New Lipschitz–type conditions for uniqueness of solutions of ordinary differential equations	2022	José Ángel Cid Rodrigo López Pouso Jorge Rodríguez López
+	Uniqueness criteria for ordinary differential equations with a generalized transversality condition at the initial condition	2022	José Ángel Cid Rodrigo López Pouso Jorge Rodríguez López
+	Transversality conditions for the existence of solutions of first-order discontinuous functional differential equations	2021	Rodrigo López Pouso Ignacio Márquez Albés Jorge Rodríguez López
+ PDF Chat	Nonlinear Functional Analysis and Its Applications	2021	Radu Precup Jean Mawhin Dumitru Motreanu Angela Sciammetta Elisabetta Tornatore Donal O’Regan Biagio Ricceri Rodrigo López Pouso Jorge Rodríguez López Xiaoyan Shi
+ PDF Chat	Degree theory for discontinuous operators	2021	Rubén Figueroa Rodrigo López Pouso Jorge Rodríguez López
+	Degree Theory for a Class of Discontinuous Operators	2021	Rubén Figueroa Rodrigo López Pouso Jorge Rodríguez López
+	Fixed Point Theorems for Some Discontinuous Operators	2021	Rubén Figueroa Rodrigo López Pouso Jorge Rodríguez López
+	Second Order Problems and Lower and Upper Solutions	2021	Rubén Figueroa Rodrigo López Pouso Jorge Rodríguez López
+	Positive Solutions for Second and Higher Order Problems	2021	Rubén Figueroa Rodrigo López Pouso Jorge Rodríguez López
+	First Order Problems	2021	Rubén Figueroa Rodrigo López Pouso Jorge Rodríguez López
+	Introduction	2021	Rubén Figueroa Rodrigo López Pouso Jorge Rodríguez López
+	Fixed point index for discontinuous operators and fixed point theorems in cones with applications	2020	Rubén Figueroa Rodrigo López Pouso Jorge Rodríguez López
+	Existence and uniqueness of solutions for systems of discontinuous differential equations under localized Bressan–Shen transversality conditions	2020	Rodrigo López Pouso Jorge Rodríguez López
+ PDF Chat	Solvability of non-semicontinuous systems of Stieltjes differential inclusions and equations	2020	Rodrigo López Pouso Ignacio Márquez Albés Jorge Rodríguez López
+ PDF Chat	Existence of extremal solutions for discontinuous Stieltjes differential equations	2020	Rodrigo López Pouso Ignacio Márquez Albés
+ PDF Chat	Existence and multiplicity results for second-order discontinuous problems via non-ordered lower and upper solutions	2019	Rubén Figueroa Rodrigo López Pouso Jorge Rodríguez López
+	Series de Fourier y ecuaciones en derivadas parciales: una introducción con Maple y ejercicios resueltos	2019	Rodrigo López Pouso
+ PDF Chat	Positive Solutions for Discontinuous Systems via a Multivalued Vector Version of Krasnosel’skiĭ’s Fixed Point Theorem in Cones	2019	Rodrigo López Pouso Radu Precup Jorge Rodríguez López
+	Systems of Stieltjes Differential Equations with Several Derivators	2019	Rodrigo López Pouso Ignacio Márquez Albés
+	Resolution methods for mathematical models based on differential equations with Stieltjes derivatives	2019	Rodrigo López Pouso Ignacio Márquez Albés
+ PDF Chat	A version of Krasnosel'skiĭ's compression-expansion fixed point theorem in cones for discontinuous operators with applications	2018	Rubén Figueroa Rodrigo López Pouso Jorge Rodríguez López
+	Extremal solutions of systems of measure differential equations and applications in the study of Stieltjes differential problems	2018	Rodrigo López Pouso Ignacio Márquez Albés Giselle Antunes Monteiro
+	General existence principles for Stieltjes differential equations with applications to mathematical biology	2018	Rodrigo López Pouso Ignacio Márquez Albés
+	Extremal solutions for second-order fully discontinuous problems with nonlinear functional boundary conditions	2018	Rubén Figueroa Rodrigo López Pouso Jorge Rodríguez López
+	Second-order discontinuous problems with nonlinear functional boundary conditions on the half-line	2018	Rodrigo López Pouso Jorge Rodríguez López
+	Extremal solutions of systems of measure differential equations and applications in the study of Stieltjes differential problems	2018	Rodrigo López Pouso Ignacio Márquez Albés Giselle Antunes Monteiro
+	Extremal solutions of systems of measure differential equations and applications in the study of Stieltjes differential problems	2018	Rodrigo López Pouso Ignacio Márquez Albés Giselle Antunes Monteiro
+	A version of Krasnoselskii's compression-expansion fixed point theorem in cones for discontinuous operators with applications	2017	Rubén Figueroa Rodrigo López Pouso Jorge Rodríguez López
+	Degree theory for discontinuous operators	2017	Rubén Figueroa Rodrigo López Pouso Jorge Rodríguez López
+	Degree theory for discontinuous operators	2017	Rubén Figueroa Rodrigo López Pouso Jorge Rodríguez López
+	A version of Krasnoselskii's compression-expansion fixed point theorem in cones for discontinuous operators with applications	2017	Rubén Figueroa Rodrigo López Pouso Jorge Rodríguez López
+ PDF Chat	Theory and applications of first-order systems of Stieltjes differential equations	2016	Marlène Frigon Rodrigo López Pouso
+	Integration by Parts and by Substitution Unified with Applications to Green's Theorem and Uniqueness for ODEs	2016	José Ángel Cid Rodrigo López Pouso
+ PDF Chat	Existence of solutions of first-order differential equations via a fixed point theorem for discontinuous operators	2015	Rubén Figueroa Rodrigo López Pouso
+	A generalization of Montel–Tonelli's Uniqueness Theorem	2015	José Ángel Cid Rodrigo López Pouso
+	Integration by parts and by substitution unified, Green's Theorem and uniqueness for ODEs	2015	Angel Cid Rodrigo López Pouso
+	A New Unification of Continuous, Discrete, and Impulsive Calculus through Stieltjes Derivatives	2015	Rodrigo López Pouso Adrián Rodríguez
+ PDF Chat	Some consequences of an existence result by Kiguradze and Partsvania for singular Dirichlet problems	2014	Rubén Figueroa Rodrigo López Pouso
+ PDF Chat	A Survey of Recent Results for the Generalizations of Ordinary Differential Equations	2014	Daniel C. Biles M. Federson Rodrigo López Pouso
+ PDF Chat	Generalized Differential and Integral Equations	2014	Rodrigo López Pouso Daniel C. Biles M. Federson
+	Greatest solutions and differential inequalities: a journey in two directions	2013	Rodrigo López Pouso
+ PDF Chat	Schauder’s fixed-point theorem: new applications and a new version for discontinuous operators	2012	Rodrigo López Pouso
+	A simple proof of the Fundamental Theorem of Calculus for the Lebesgue integral	2012	Rodrigo López Pouso
+ PDF Chat	Minimal and maximal solutions to first-order differential equations with state-dependent deviated arguments	2012	Rubén Figueroa Rodrigo López Pouso
+	Peano's Existence Theorem revisited	2012	Rodrigo López Pouso
+ PDF Chat	Mean Value Integral Inequalities	2012	Rodrigo López Pouso
+	A simple proof of the Fundamental Theorem of Calculus for the Lebesgue integral	2012	Rodrigo López Pouso
+ PDF Chat	Coupled fixed points of multivalued operators and first-order ODEs with state-dependent deviating arguments	2011	Rubén Figueroa Rodrigo López Pouso
+	Existence and computation of Riemann-Stieltjes integrals through Riemann integrals	2011	Rodrigo López Pouso
+	Existence of infinitely many solutions for second-order singular initial value problems with an application to nonlinear massive gravity	2011	José Ángel Cid Óscar López Pouso Rodrigo López Pouso
+ PDF Chat	Existence of minimal and maximal solutions to first--order differential equations with state--dependent deviated arguments	2011	Rubén Figueroa Rodrigo López Pouso
+	Coupled fixed points of multivalued operators and first--order ODEs with state--dependent deviating arguments	2011	Rubén Figueroa Rodrigo López Pouso
+	Mean value integral inequalities	2011	Rodrigo López Pouso
+	Riemann integration via primitives for a new proof to the change of variable theorem	2011	Rodrigo López Pouso
+	Existence and computation of Riemann-Stieltjes integrals through Riemann integrals	2011	Rodrigo López Pouso
+	Coupled fixed points of multivalued operators and first--order ODEs with state--dependent deviating arguments	2011	Rubén Figueroa Rodrigo López Pouso
+	Minimal and maximal solutions to second-order boundary value problems with state-dependent deviating arguments	2010	Rubén Figueroa Rodrigo López Pouso
+	Change of variable in Riemann integration revisited	2010	Rodrigo López Pouso
+	Viability theory applied to discontinuous ordinary differential equations	2009	Rubén Figueroa Rodrigo López Pouso Alberto Cabada Eduardo Liz Juan J. Nieto
+	Does Lipschitz with Respect to <i>x</i> Imply Uniqueness for the Differential Equation <i>y' = f</i>(<i>x,y</i>)?	2009	José Ángel Cid Rodrigo López Pouso
+ PDF Chat	First-Order Singular and Discontinuous Differential Equations	2009	Daniel C. Biles Rodrigo López Pouso
+	Does Lipschitz with Respect to <I>x</I> Imply Uniqueness for the Differential Equation <I>y′</I> = <I>f</I>(<I>x</I>, <I>y</I>)?	2009	José Ángel Cid Rodrigo López Pouso
+ PDF Chat	Existence of unique solutions for perturbed autonomous differential equations	2008	José Ángel Cid Rodrigo López Pouso
+	Second order problems with functional conditions including Sturm–Liouville and multipoint conditions	2008	Alberto Cabada Donal O’Regan Rodrigo López Pouso
+	Extremal solutions to fourth-order functional boundary value problems including multipoint conditions	2008	Alberto Cabada Rodrigo López Pouso Feliz Minhós
+	Initial value problems for singular and nonsmooth second order differential inclusions	2007	Daniel C. Biles José Ángel Cid Rodrigo López Pouso
+	Discontinuous first-order functional boundary value problems	2007	Rubén Figueroa Rodrigo López Pouso
+	Sharp Conditions for the Existence of Solutions of Second-Order Autonomous Differential Equations	2007	José Ángel Cid Rodrigo López Pouso Ricardo Enguiça
+ PDF Chat	Fixed point theorems in ordered abstract spaces	2007	Juan J. Nieto Rodrigo López Pouso Rosana Rodrı́guez-López
+	First- and second-order discontinuous functional differential equations with impulses at fixed moments	2006	Rodrigo López Pouso Jan Tomeček
+	Uniqueness and existence results for ordinary differential equations	2005	José Ángel Cid Seppo Heikkilä Rodrigo López Pouso
+	NECESSARY AND SUFFICIENT CONDITIONS FOR EXISTENCE AND UNIQUENESS OF SOLUTIONS OF SECOND-ORDER AUTONOMOUS DIFFERENTIAL EQUATIONS	2005	Rodrigo López Pouso
+	EXISTENCE RESULTS FOR DISCONTINUOUS ORDINARY DIFFERENTIAL EQUATIONS	2005	José Ángel Cid Rodrigo López Pouso
+ PDF Chat	Necessary conditions for solving initial value problems with infima of superfunctions	2005	Rodrigo López Pouso
+	Ordinary differential equations and systems with time-dependent discontinuity sets	2004	José Ángel Cid Rodrigo López Pouso
+	Corrigendum to “Existence theory for first order discontinuous functional differential equations"	2004	José Ángel Cid Eduardo Liz Rodrigo López Pouso
+	A new approximation scheme for first-order ordinary differential equations with non-negative right-hand sides	2003	Rodrigo López Pouso
+ PDF Chat	Examples of the nonexistence of a solution in the presence of upper and lower solutions	2003	Patrick Habets Rodrigo López Pouso
+	Extremal solutions for first order singular problems with discontinuous nonlinearities	2003	Marielle Cherpion Patrick Habets Rodrigo López Pouso
+ PDF Chat	Nonresonance conditions and extremal solutions for first-order impulsive problems under weak assumptions	2003	Daniel Franco Rodrigo López Pouso
+	On first-order ordinary differential equations with nonnegative right-hand sides	2002	José Ángel Cid Rodrigo López Pouso
+	Existence theory for functional p-Laplacian equations with variable exponents	2002	Alberto Cabada Rodrigo López Pouso
+	Positive solutions for a class of implicit and discontinuous second order functional differential equations with singularities	2002	Alberto Cabada José Ángel Cid Rodrigo López Pouso
+	Existence results and approximation methods for functional ordinary differential equations with singular diffusion-type differential operators	2002	Alberto Cabada José Ángel Cid Rodrigo López Pouso
+ PDF Chat	Existence theory for first order discontinuous functional differential equations	2002	Eduardo Liz Rodrigo López Pouso
+	On the Cauchy Problem for First Order Discontinuous Ordinary Differential Equations	2001	Rodrigo López Pouso
+	An existence result for first order periodic problems with discontinuous and singular nonlinearities	2001	Marielle Cherpion Patrick Habets Rodrigo López Pouso
+	Nonordered discontinuous upper and lower solutions for first-order ordinary differential equations	2001	Rodrigo López Pouso
+	On the Method of Upper and Lower Solutions for First Order BVPs	2001	Alberto Cabada Eduardo Liz Rodrigo López Pouso
+	Existencia y unicidad de solución para problemas de difusión singulares y discontinuos	2001	Alberto Cabada Fernández José Ángel Cid Araújo Rodrigo López Pouso
+	Extremal solutions of strongly nonlinear discontinuous second-order equations with nonlinear functional boundary conditions	2000	Alberto Cabada Rodrigo López Pouso
+	Some General Comparison Results for Second Order Ordinary Differential Equations	2000	Rodrigo López Pouso
+	Optimal Existence Conditions for φ-Laplacian Equations with Upper and Lower Solutions in the Reversed Order	2000	Alberto Cabada Patrick Habets Rodrigo López Pouso
+	A generalization of the method of upper and lower solutions for discontinuous first order problems with nonlinear boundary conditions	2000	Alberto Cabada Rodrigo López Pouso Eduardo Liz
+	Lower and upper solutions for the periodic problem associated with a ϕ – Laplacian equation	2000	Alberto Cabada Patrick Habets Rodrigo López Pouso
+	Upper and Lower Solutions for First-Order Discontinuous Ordinary Differential Equations	2000	Rodrigo López Pouso
+	Existence and approximation of solutions for first-order discontinuous difference equations with nonlinear global conditions in the presence of lower and upper solutions	2000	Alberto Cabada Victoria Otero–Espinar Rodrigo López Pouso
+	Approximate solutions to a new class of nonlinear diffusion problems	1999	Alberto Cabada Juan J. Nieto Rodrigo López Pouso
+	Problemas de frontera para ecuaciones diferenciales ordinarias discontinuas	1999	Rodrigo López Pouso
+	Existence results for the problem (φ(u′))′=f(t,u,u′) with nonlinear boundary conditions	1999	Alberto Cabada Rodrigo López Pouso
+	Ecuaciones diferenciales ordinarias discontinuas de primer orden	1999	Eduardo Liz Marzán Rodrigo López Pouso Alberto Cabada Fernández
+	Approximation of solutions for nonlinear periodic boundary value problems with discontinuous upper and lower solutions	1998	Eduardo Liz Rodrigo López Pouso
+	Upper and Lower Solutions with “Jumps”	1998	Eduardo Liz Rodrigo López Pouso
+	Aproximación monótona de soluciones para ecuaciones -laplacianas con condiciones Neumann	1998	Alberto Cabada Fernández Rodrigo López Pouso
+	Existence result for the problem (φ(u′))′ = f(t, u, u′) with periodic and Neumann boundary conditions	1997	Alberto Cabada Rodrigo López Pouso

Common Coauthors

Coauthor	Papers Together
Rubén Figueroa	25
Jorge Rodríguez López	24
José Ángel Cid	17
Alberto Cabada	15
Ignacio Márquez Albés	9
Eduardo Liz	7
Patrick Habets	5
Daniel C. Biles	4
Giselle Antunes Monteiro	3
Juan J. Nieto	3
Alberto Cabada Fernández	3
M. Federson	2
Marielle Cherpion	2
Donal O’Regan	2
Radu Precup	2
Biagio Ricceri	1
Marlène Frigon	1
Angela Sciammetta	1
Óscar López Pouso	1
Huaping Huang	1
Ricardo Enguiça	1
Haibo Chen	1
Yulin Zhao	1
Angel Cid	1
Adrián Rodríguez	1
Xiaoyan Shi	1
Dumitru Motreanu	1
Jan Tomeček	1
Binghua Jiang	1
Wei–Shih Du	1
Feliz Minhós	1
Rosana Rodríguez‐Löpez	1
Seppo Heikkilä	1
Jean Mawhin	1
José Ángel Cid Araújo	1
Elisabetta Tornatore	1
Daniel Franco	1
Víctor Cora	1
Victoria Otero–Espinar	1
Eduardo Liz Marzán	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations	2017	Seppo Heikkilä V. Lakshmikantham	37
+	Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations	2017	Seppo Heikkilä V. Lakshmikantham	28
+	An Introduction to Classical Real Analysis.	1983	Alberto Torchinsky Karl Stromberg	18
+	Extremal solutions of a discontinuous scalar differential equation	1999	Ezzat R. Hassan Witold Rzymowski	17
+	Ordinary differential equations and systems with time-dependent discontinuity sets	2004	José Ángel Cid Rodrigo López Pouso	13
+	Nonlinear Differential Equations in Ordered Spaces	2000	Siegfried Carl Seppo Heikkilä	12
+ PDF Chat	Schauder’s fixed-point theorem: new applications and a new version for discontinuous operators	2012	Rodrigo López Pouso	11
+	Extremal solutions of strongly nonlinear discontinuous second-order equations with nonlinear functional boundary conditions	2000	Alberto Cabada Rodrigo López Pouso	10
+	Differential Equations with Discontinuous Righthand Sides	1988	Alexander Filippov	10
+	The differential equation x = f ⊥ x	1979	Paul Binding	10
+ PDF Chat	A Schauder-type theorem for discontinuous operators with applications to second-order BVPs	2016	Rubén Figueroa Gennaro Infante	9
+	Two-Point Boundary Value Problems: Lower and Upper Solutions	2006	Colette De Coster Patrick Habets	9
+	Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces	1976	Herbert Amann	8
+	A New Unification of Continuous, Discrete, and Impulsive Calculus through Stieltjes Derivatives	2015	Rodrigo López Pouso Adrián Rodríguez	8
+	Differential equations with discontinuous right-hand sides	1991	Shouchuan Hu	8
+	Multivalued Differential Equations	1992	Klaus Deimling	8
+	Nonlinear Superposition Operators	1990	Jürgen Appell Petr P. Zabrejko	8
+ PDF Chat	Existence of solutions for discontinuous differential equations	1995	Daniel C. Biles	8
+ PDF Chat	Nonresonance conditions and extremal solutions for first-order impulsive problems under weak assumptions	2003	Daniel Franco Rodrigo López Pouso	7
+ PDF Chat	Monotone method for nonlinear second order periodic boundary value problems with Carathéodory functions	1993	Mingxing Wang Alberto Cabada Juan J. Nieto	7
+	Uniqueness and Nonuniqueness Criteria for Ordinary Differential Equations	1993	Ravi P. Agarwal V. Lakshmikantham	7
+	Monotone iterative techniques for nonlinear differential equations	1985	G. S. Ladde V. Lakshmikantham A. S. Vatsala	6
+	Upper and Lower Solutions with “Jumps”	1998	Eduardo Liz Rodrigo López Pouso	6
+	On first-order ordinary differential equations with nonnegative right-hand sides	2002	José Ángel Cid Rodrigo López Pouso	6
+	Discontinuous first-order functional boundary value problems	2007	Rubén Figueroa Rodrigo López Pouso	6
+	Some General Existence Principles and Results for $(\phi (y')) = qf(t,y,y'),0 < t < 1$	1993	Donal O’Regan	6
+	On the Cauchy Problem for First Order Discontinuous Ordinary Differential Equations	2001	Rodrigo López Pouso	6
+	Subfunctions and the initial-value problem for differential equations satisfying Carathéodory's hypotheses	1970	Gerald S. Goodman	6
+ PDF Chat	Necessary conditions for solving initial value problems with infima of superfunctions	2005	Rodrigo López Pouso	6
+ PDF Chat	On Carathéodory’s conditions for the initial value problem	1997	Daniel C. Biles Paul Binding	6
+ PDF Chat	Theory and applications of first-order systems of Stieltjes differential equations	2016	Marlène Frigon Rodrigo López Pouso	6
+	Solvability of a finite or infinite system of discontinuous quasimonotone differential equations	2000	Daniel C. Biles Eric Schechter	6
+ PDF Chat	Monotone iterative methods for boundary value problems	1999	Marielle Cherpion C. De Coster Patrick Habets	6
+	Minimal and maximal solutions to second-order boundary value problems with state-dependent deviating arguments	2010	Rubén Figueroa Rodrigo López Pouso	5
+	A periodic solution of a differential equation with state-dependent delay	2008	Hans‐Otto Walther	5
+ PDF Chat	Existence of solutions of first-order differential equations via a fixed point theorem for discontinuous operators	2015	Rubén Figueroa Rodrigo López Pouso	5
+	Boundary Value Problems for Ordinary Differential Equations with Deviated Arguments	2007	A. Dyki Tadeusz Jankowski	5
+	A general Lipschitz uniqueness criterion for scalar ordinary differential equations	2014	Josef Diblı́k Christine Nowak Stefan Siegmund	5
+	Ordinary Differential Equations	2017	John M. Stewart	5
+	Existence of solutions of boundary value problems for differential equations in which deviated arguments depend on the unknown solution	2007	Tadeusz Jankowski	5
+ PDF Chat	Continuous dependence of nonmonotonic discontinuous differential equations	1993	Daniel C. Biles	5
+	Upper and Lower Solutions for First-Order Discontinuous Ordinary Differential Equations	2000	Rodrigo López Pouso	5
+	Fixed Point Theorems and the Fixed Point Index for Multivalued Mappings in Cones	1975	Patrick Fitzpatrick W. V. Petryshyn	5
+	Pairs of positive solutions for the one-dimensional p-Laplacian	1994	C. De Coster	5
+ PDF Chat	On extending existence theory from scalar ordinary differential equations to infinite quasimonotone systems of functional equations	2005	José Ángel Cid	5
+	Existence and uniqueness of solutions for systems of discontinuous differential equations under localized Bressan–Shen transversality conditions	2020	Rodrigo López Pouso Jorge Rodríguez López	5
+ PDF Chat	An extension of Tietze’s theorem	1951	J. Dugundji	5
+	First- and second-order discontinuous functional differential equations with impulses at fixed moments	2006	Rodrigo López Pouso Jan Tomeček	5
+ PDF Chat	First-Order Singular and Discontinuous Differential Equations	2009	Daniel C. Biles Rodrigo López Pouso	4
+ PDF Chat	On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditions	2003	Alberto Cabada Maria do Rosário Grossinho Feliz Minhós	4