Three-point boundary value problems for second-order ordinary differential equations

DOI10.1016/S0895-7177(01)00063-2zbMath0998.34011MaRDI QIDQ5943358

H. B. Thompson, Christopher C. Tisdell

Publication date: 25 November 2002

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

zbMATH Keywords

upper and lower solutionsdifferential equationsnonlinear three-point boundary value problemsecond-order ordinary

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Degree theory for nonlinear operators (47H11) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (19)

Approximate solution of three-point boundary value problems for second-order ordinary differential equations with variable coefficients ⋮ Existence of at least three solutions of nonlinear three point boundary value problems with super-quadratic growth ⋮ Existence results of three-point boundary value problems for second-order ordinary differential equations ⋮ Application of reproducing kernel method to third order three-point boundary value problems ⋮ A numerical algorithm for nonlinear multi-point boundary value problems ⋮ Reproducing kernel method for singular multi-point boundary value problems ⋮ On the existence of positive solutions for three-point boundary value problems with alternating coefficients ⋮ A priori estimates and solvability of a non-resonant generalized multi-point boundary value problem of mixed Dirichlet-Neumann-Dirichlet type involving a \(p\)-Laplacian type operator. ⋮ Multi-point boundary value problem for optimal bridge design ⋮ Nagumo conditions and second-order quasilinear equations with compatible nonlinear functional boundary conditions ⋮ A Dirichlet-Neumann \(m\)-point BVP with a \(p\)-Laplacian-like operator ⋮ New wavelets collocation method for solving second-order multipoint boundary value problems using Chebyshev polynomials of third and fourth kinds ⋮ Optimal interval lengths for nonlocal boundary value problems associated with third order Lipschitz equations ⋮ Multiple positive solutions for nonlocal boundary value problems with p-Laplacian operator ⋮ Positive solutions for second-order four-point boundary value problems with alternating coefficient ⋮ Three-point boundary value problems for second-order discrete equations ⋮ Solving singular second order three-point boundary value problems using reproducing kernel Hilbert space method ⋮ An efficient technique to find semi-analytical solutions for higher order multi-point boundary value problems ⋮ Multiplicity of positive solutions for a singular second-order three-point boundary value problem with a parameter

Cites Work

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• A remark on a second-order three-point boundary value problem
• A sharper condition for the solvability of a three-point second order boundary value problem
• A unified approach to some two-point, three-point, and four-point boundary value problems with Carathéodory functions
• Existence theorems for a second order \(m\)-point boundary value problem
• Existence theorems for a second order three-point boundary value problem
• Solvability of an \(m\)-point boundary value problem for second order ordinary differential equations
• Second order ordinary differential equations with fully nonlinear two point boundary conditions
• Comparison theorems for nonlinear second order differential equations
• Periodic solutions of nonlinear second order differential equations
• Nonlinear multipoint boundary value problems for weakly coupled systems

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