Upper and lower solutions for second-order boundary value problems with nonlinear boundary conditions

Ch. Fabry, Patrick Habets

Type: Article

Publication Date: 1986-10-01

Citations: 40

DOI: https://doi.org/10.1016/0362-546x(86)90084-2

View

Locations

Nonlinear Analysis - View

Similar Works

Action	Title	Year	Authors
+	Upper and Lower Solutions Method for Higher Order Boundary Value Problems	2017	Rabah Khaldi Guezane Lakoud
+	Second-order four-point boundary value problems with upper and lower solutions	2009	Luchao Zhang
+ PDF Chat	An Overview of the Lower and Upper Solutions Method with Nonlinear Boundary Value Conditions	2010	Alberto Cabada
+	Remarks on the lower and upper solutions method for second- and third-order boundary value problems	1993	Pierpaolo Omari Maurizio Trombetta
+	The upper and lower solution method for some fourth-order boundary value problems	2006	Zhanbing Bai
+	Lower and upper solutions for general two-point fractional order boundary value problems	2015	K. R. Prasad B. M. B. Krushna
+	Nonlinear parabolic boundary value problems with upper and lower solutions	1978	Johanna Deuel Peter Heß
+	Upper and lower solutions for singular problems with nonlinear boundary data	2002	Ravi P. Agarwal Donal O’Regan
+	UPPER AND LOWER SOLUTIONS METHOD FOR DISCRETE INCLUSIONS WITH NONLINEAR BOUNDARY CONDITIONS	2006	Mouffak Benchohra Sotiris K. Ntouyas Abdelghani Ouahab
+	Upper and lower bounds for solutions of generalized two-point boundary value problems	1975	Johann Schr�der
+	The first and second boundary value problems for nonlinear second order differential equations	1966	Paul B. Bailey L. F. Shampine Paul Waltman
+	The method of lower and upper solutions for th-order multi-point boundary value problems	2009	Sihua Liang Jihui Zhang
+	Boundary Value Problems for Second and Higher Order Differential Equations	1991	Donal O’Regan
+ PDF Chat	Lower and Upper Solutions for Even Order Boundary Value Problems	2019	Alberto Cabada Lucía López-Somoza
+	Upper and lower solutions for a second-order three-point singular boundary-value problem	2009	Qiumei Zhang Daqing Jiang Shiyou Weng Haiyin Gao
+	Upper and lower solutions and quasilinearization for a class of second order singular nonlinear differential equations with nonlinear boundary conditions	2006	M. El-Gebeily Donal O’Regan
+	Remarks on the lower and upper solutions method for second- and third-order periodic boundary value problems	1992	Pierpaolo Omari Maurizio Trombetta
+	Upper and Lower Solution Method for Nonlinear Fractional Differential Equations Boundary Value Problem	2018	G. U. Pawar J‎. ‎N‎. ‎Salunke
+	Existence and uniqueness of solutions of second-order three-point boundary value problems with upper and lower solutions in the reversed order	2007	Fangfei Li Mei Jia Xiping Liu Chunling Li Gaoshang Li
+	Upper and Lower Solutions for First-Order Discontinuous Ordinary Differential Equations	2000	Rodrigo López Pouso

Cited by (36)

Action	Title	Year	Authors
+	One dimensional φ-Laplacian functional equations	2010	Donal O’Regan Juan Perán
+	Fourth-order problems with fully nonlinear boundary conditions	2006	Guangwa Wang Mingru Zhou Li Sun
+ PDF Chat	EXISTENCE OF A SOLUTION FOR A SINGULAR DIFFERENTIAL EQUATION WITH NONLINEAR FUNCTIONAL BOUNDARY CONDITIONS	2007	Alberto Cabada José Ángel Cid
+ PDF Chat	Existence and uniqueness of the modified error function	2017	Andrea N. Ceretani Natalia N. Salva Domingo A. Tarzia
+ PDF Chat	Lower and Upper Solutions for Singular Derivative Dependent Dirichlet Problem	2001	C. De Coster
+	Bounding functions methods for fully nonlinear boundary value problems	2005	Guangwa Wang Mingru Zhou Li Sun
+ PDF Chat	Differential inequalities method to nth-order boundary value problems	2006	Guangwa Wang Mingru Zhou Li Sun
+	Bounding Surfaces and Second Order Quasilinear Equations with Compatible Nonlinear Functional Boundary Conditions	2011	Jean Mawhin Bevan Thompson
+ PDF Chat	Two-Point Boundary Value Problems for a Class of Second-Order Ordinary Differential Equations	2012	Indranil SenGupta Maria C. Mariani
+ PDF Chat	An Overview of the Lower and Upper Solutions Method with Nonlinear Boundary Value Conditions	2010	Alberto Cabada
+	A generalized upper and lower solutions method and multiplicity results for nonlinear first-order ordinary differential equations	1989	M. N. Nkashama
+	Fourth-order problems with nonlinear boundary conditions	2004	Daniel Franco Donal O’Regan Juan Perán
+	Existence of solutions of boundary value problem for 3rd order nonlinear system	2007	Guangwa Wang Mingru Zhou Li Sun
+	Differential equations involving homeomorphism with nonlinear boundary conditions	2022	Katarzyna Szymańska‐Dȩbowska Mirosława Zima
+ PDF Chat	Existence and Location Results for Fully Nonlinear Boundary Value Problem of nth-Order Nonlinear System	2009	Li Sun Mingru Zhou Guangwa Wang
+	Boundary-value problems with nonlinear boundary conditions	1988	Giuseppe Anichini Giuseppe Conti
+	The monotone method for first-order problems with linear and nonlinear boundary conditions	1994	Alberto Cabada
+	Second Order Boundary Value Problems with Nonlinear Two-Point Boundary Conditions	2000	Petio Kelevedjiev Nedyu Popivanov
+	Extremal solutions of strongly nonlinear discontinuous second-order equations with nonlinear functional boundary conditions	2000	Alberto Cabada Rodrigo López Pouso
+	Green’s Functions in the Theory of Ordinary Differential Equations	2013	Alberto Cabada
+	The Lower and Upper Solutions Method for Boundary Value Problems	2004	C. De Coster Patrick Habets
+	Solvability of Nonlinear Singular Problems for Ordinary Differential Equations	2009	Irena Rachůnková Svatoslav Staněk Milan Tvrdý
+	Chapter 7 Singularities and Laplacians in Boundary Value Problems for Nonlinear Ordinary Differential Equations	2006	Irena Rachůnková Svatoslav Stan ek Milan Tvrdý
+	Bibliographical Notes	2006	Colette De Coster Patrick Habets
+	Existence of solutions for some nonlinear beam equations.	2006	Pablo Amster Pedro Pablo Cárdenas Álzate
+ PDF Chat	Nagumo conditions and second-order quasilinear equations with compatible nonlinear functional boundary conditions	2011	Jean Mawhin H.B. Thompson
+ PDF Chat	Periodic and boundary value problems for second order differential inclusions	1999	Michela Palmucci Francesca Papalini
+ PDF Chat	Nonlinear Fourth-Order Two-Point Boundary Value Problems	1995	Felix Sadyrbaev
+ PDF Chat	An interface problem with singular perturbation on a subinterval	2014	Feng Xie
+	Generalized Sturm-Liouville boundary conditions for first order differential systems in the plane	2013	Alessandro Fonda Maurizio Garrione
+	Nagumo and Landesman-Lazer type conditions for nonlinear second order systems	2007	Pablo Amster
+	Coupled systems with Ambrosetti-Prodi-type differential equations	2023	Feliz Minhós Fernando Carapau Gracino Rodrigues
+	Nonlinear boundary value problems and linking number	2001	Jukka Tuomela
+	Existence results for the problem (φ(u′))′=f(t,u,u′) with nonlinear boundary conditions	1999	Alberto Cabada Rodrigo López Pouso
+	Fourth-order problems with nonlinear boundary conditions	2005	Daniel Franco Donal O’Regan Juan Perán
+	Upper and Lower Solutions in the Theory of Ode Boundary Value Problems: Classical and Recent Results	1996	C. De Coster Patrick Habets

Citing (11)

Action	Title	Year	Authors
+	Applications of the Method of Differential Inequalities in Singular Perturbation Problems	1976	William A. Harris
+	�ber die Existenz der L�sungen von Randwertaufgaben mit gew�hnlichen, nichtlinearen Differentialgleichungen zweiter Ordnung	1954	Helmut Epheser
+	Singular perturbations and differential inequalities	1976	F. A. Howes
+	Boundary value problems for nonlinear second order differential equations	1968	Klaus Schmitt
+ PDF Chat	Topological transversality. II. Applications to the Neumann problem for<i>y</i><sup>′′</sup>=<i>f</i>(<i>t, y, y</i><sup>′</sup>)	1983	Andrzej Granas Ronald B. Guenther J. Jack Lee
+ PDF Chat	Nonlinear boundary value problems for some classes of ordinary differential equations	1980	Andrzej Granas Ronald B. Guenther J.W. Lee
+	Existence of solutions to boundary value problems for second order differential equations	1982	Lynn Erbe
+ PDF Chat	Coincidence Degree, and Nonlinear Differential Equations	1977	Robert E. Gaines Jean Mawhin
+	Upper and lower solutions and semilinear second order elliptic equations with non-linear boundary conditions	1984	Jean Mawhin Klaus Schmitt
+	Coincidence degree and nonlinear differential equations	1977	Robert E. Gaines Jean Mawhin
+	An Introduction to Nonlinear Boundary Value Problems	1974	Stephen R. Bernfeld V. Lakshmikantham