Third-order boundary value problems with sign-changing solutions

DOI10.1016/j.na.2006.05.003zbMath1130.34010OpenAlexW2060243271MaRDI QIDQ880288

Nickolai Kosmatov, Britney Hopkins

Publication date: 15 May 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.05.003

zbMATH Keywords

a priori estimateLeray-Schauder continuation principle

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15)

Related Items (23)

Uniqueness of solutions for third-order two-point boundary value problems ⋮ Positive solutions of a third-order BVP independent of the sign of the Green's function ⋮ Positive solutions for resonant and nonresonant nonlinear third-order multipoint boundary value problems ⋮ Solvability of right focal boundary value problems with superlinear growth conditions ⋮ Positive solutions of a third-order boundary value problem with full nonlinearity ⋮ Monotone positive solution of nonlinear third-order BVP with integral boundary conditions ⋮ A third-order p-laplacian boundary value problem on an unbounded domain ⋮ Existence of solution and positive solution for a nonlinear third-order \(m\)-point BVP ⋮ Infinitely many nodal solutions of superlinear third order two-point boundary value problems ⋮ Positive solutions to a third order nonlocal boundary value problem with a parameter ⋮ Existence of sign-changing solutions for a third-order boundary value problem with nonlocal conditions of integral type ⋮ On a third-order three-point boundary value problem ⋮ Treatment for third-order nonlinear differential equations based on the Adomian decomposition method ⋮ The shooting method and integral boundary value problems of third-order differential equation ⋮ Multiple positive solutions of nonlinear BVPs for differential systems involving integral conditions ⋮ Second order boundary value problems on an unbounded domain ⋮ Iterative solutions of singular boundary value problems of third-order differential equation ⋮ Solvability for a third-order three-point BVP on time scales ⋮ Successive iteration and positive solutions for a third-order multipoint generalized right-focal boundary value problem with \(p\)-Laplacian ⋮ On the existence of positive solutions of resonant and nonresonant multipoint boundary value problems for third-order nonlinear differential equations ⋮ Unnamed Item ⋮ POSITIVE SOLUTION FOR NONLINEAR THIRD-ORDER MULTI-POINT BOUNDARY VALUE PROBLEM AT RESONANCE ⋮ Solvability of a third-order three-point boundary value problem on a half-line

Cites Work

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• Constant-sign solutions for a system of third-order generalized right focal problems
• Green's function for a third-order generalized right focal problem.
• A priori estimates for the existence of a solution for a multi-point boundary value problem
• Existence of solutions for third-order boundary value problems on a time scale
• A uniqueness and existence theorem for a singular third-order boundary value problem on \([0,\infty)\)
• Positive solutions of singular third-order three-point boundary value problem
• A Dirichlet-Neumann \(m\)-point BVP with a \(p\)-Laplacian-like operator
• Positive solutions for singular nonlinear third-order periodic boundary value problems
• Existence and uniqueness theorems for a third-order three-point boundary value problem
• Multiplicity results for a third order boundary value problem at resonance

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