Positive solutions for (\(n\)-1,1) three-point boundary value problems with coefficient that changes sign.

DOI10.1016/S0022-247X(03)00278-6zbMath1033.34031OpenAlexW1963758146MaRDI QIDQ1399877

Yuji Liu, Weigao Ge

Publication date: 30 July 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00278-6

zbMATH Keywords

conepositive solutionHigher-order differential equationLeray--Schauder degree theory

Mathematics Subject Classification ID

Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

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The existence of countably many positive solutions for some nonlinear \(n\)th-order \(m\)-point boundary value problems, Positive solutions of a nonlinear algebraic system with sign-changing coefficient matrix, The existence of countably many positive solutions for nonlinear \(n\)th-order three-point boundary value problems, Several sufficient conditions of solvability for a nonlinear higher order three-point boundary value problem on time scales, Unnamed Item, Green's function and positive solutions of \(n\)th order \(m\)-point boundary value problem, Positive solutions for \(n\)th-order \(m\)-point \(p\)-Laplacian operator singular boundary value problems, Existence and nonexistence of positive solutions for a higher-order three-point boundary value problem, Solutions of Sturm-Liouville boundary value problems for higher-order differential equations, Positive solution of singular higher-order \(m\)-point boundary value problem with nonlinearity that changes sign, Existence of solution for a nonlinear three-point boundary value problem, Positive solutions of the system for \(n\)th-order singular nonlocal boundary value problems, Several sufficient conditions of solvability for a nonlinear higher-order three-point boundary value problem with all derivatives, Existence and nonexistence of positive solutions for a class of \(n\)th-order three-point boundary value problems in Banach spaces

Cites Work

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• Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation
• A sharper condition for the solvability of a three-point second order boundary value problem
• Existence theorems for a second order \(m\)-point boundary value problem
• Existence theorems for a second order three-point boundary value problem
• Twin solutions of boundary value problems for ordinary differential equations and finite difference equations
• Triple solutions for second-order three-point boundary value problems
• Positive solutions for (n − 1, 1) conjugate boundary value problems
• Positive solutions to semilinear problems with coefficient that changes sign