Uniqueness implies existence for three-point boundary value problems for second order differential equations

DOI10.1016/j.aml.2004.07.032zbMath1092.34507OpenAlexW2066413688MaRDI QIDQ812770

Johnny Henderson

Publication date: 24 January 2006

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2004.07.032

zbMATH Keywords

shooting methodthree-point

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (13)

Uniqueness implies existence and uniqueness conditions for nonlocal boundary value problems for \(n\)th order differential equations ⋮ Existence and uniqueness of solutions of (\(k+2\))-point nonlocal boundary value problems for ordinary differential equations ⋮ Positive solutions of an \(n\)th order three-point boundary value problem ⋮ Multiple solutions for nonlinear doubly singular three-point boundary value problems with derivative dependence ⋮ The shooting method and integral boundary value problems of third-order differential equation ⋮ Uniqueness of solutions for fourth-order nonlocal boundary value problems ⋮ Boundary-Value Problems for Third-Order Lipschitz Ordinary Differential Equations ⋮ A three-point Taylor algorithm for three-point boundary value problems ⋮ Liapunov-type inequalities for third-order half-linear equations and applications to boundary value problems ⋮ Uniqueness implies existence and uniqueness conditions for a class of (k + j )-point boundary value problems for n th order differential equations ⋮ Uniqueness implies existence of solutions for nonlinear focal-like boundary value problems ⋮ Unnamed Item ⋮ Uniqueness implies existence and uniqueness criterion for nonlocal boundary value problems for third order differential equations

Cites Work

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• Existence theorems for boundary value problems of \(n\)-th order ordinary ifferential equations
• Focal boundary value problems for nonlinear difference equations. I
• Existence theorems for a second order three-point boundary value problem
• Existence of multiple positive solutions for nonlinear \(m\)-point boundary value problems
• Existence and uniqueness of solutions to first-order three-point boundary value problems
• Existence of solutions for third-order boundary value problems on a time scale
• Existence Theorems for Boundary Value Problems for nth-Order Nonlinear Difference Equations
• Existence of solutions of right focal point boundary value problems for ordinary differential equations
• Existence–Uniqueness for Focal-Point Boundary Value Problems
• Existence of solutions for three-point boundary value problems for second order equations
• On N-Parameter Families and Interpolation Problems for Nonlinear Ordinary Differential Equations
• Existence and uniqueness of solutions of boundary value problems for third order differential equations
• Uniqueness implies existence on time scales

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