Existence and uniqueness theorems for a third-order three-point boundary value problem

DOI10.1016/0362-546X(91)90099-MzbMath0826.34017MaRDI QIDQ3978484

Chaitan P. Gupta, Vangipuram Lakshmikantham

Publication date: 25 June 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessLeray-Schauder continuation theoremthird-order three-point boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (11)

Eigenvalues of a general class of boundary value problem with derivative-dependent nonlinearity ⋮ Boundary value problems for higher order nonlinear differential equations ⋮ A remark on a third-order three-point boundary value problem ⋮ Solving nonlinear third-order three-point boundary value problems by boundary shape functions methods ⋮ Third-order boundary value problems with sign-changing solutions ⋮ Solvability of three point boundary value problems for second order integro-differential equations of mixed type ⋮ A finite difference method for the numerical solving general third order boundary-value problem with an internal boundary condition ⋮ Existence and monotone iteration of positive pseudosymmetric solutions for a third-order four-point BVP ⋮ Solvability of nth-order Lipschitz equations with nonlinear three-point boundary conditions ⋮ Existence and monotone iteration of positive pseudosymmetric solutions for a third-order four-point BVP with \(p\)-Laplacian ⋮ Existence and uniqueness of solutions for higher-order three-point boundary value problems

Cites Work

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• Boundary value problems for y'=f(x,y,y'y)
• Existence and uniqueness of solutions of three-point boundary value problems
• On three-point boundary value problems associated with third order differential equations
• Three-point boundary value problems for ordinary differential equations by matching solutions

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