A unified approach to some two-point, three-point, and four-point boundary value problems with Carathéodory functions

DOI10.1016/j.jmaa.2003.10.028zbMath0880.34019OpenAlexW2092861553MaRDI QIDQ1363558

Junyu Wang, Daqing Jiang

Publication date: 2 February 1998

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.10.028

zbMATH Keywords

Carathéodory functionstwo-point, three-point and four-point boundary value problem

Mathematics Subject Classification ID

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

Related Items

Singular boundary value problems for the one-dimension \(p\)-Laplacian ⋮ Optimal existence conditions for the periodic delay \(\phi\)-Laplace equation with upper and lower solutions in the reverse order ⋮ Multiplicity of sign-changing solutions for some four-point boundary value problem ⋮ Nonuniform nonresonant singular Dirichlet boundary value problems for the one-dimensional \(p\)-Laplacian with sign changing nonlinearity ⋮ Double positive solutions of a three-point boundary value problem for the one-dimensional \(p\)-Laplacian. ⋮ Three-point boundary value problems for second-order ordinary differential equations ⋮ Upper and lower solutions method and a singular superlinear boundary value problem for the one-dimensional \(p\)-Laplacian ⋮ One dimensional \(\varphi \)-Laplacian functional equations ⋮ Solvability of a multi-point boundary value problem at resonance. ⋮ Impulsive boundary value problems involving the one-dimensional \(p\)-Laplacian ⋮ Impulsive boundary value problems with integral boundary conditions and one-dimensional \(p\)-Laplacian ⋮ Three-point boundary value problems for second-order discrete equations ⋮ Upper and lower solution method and a singular boundary value problem for the one-dimensional \(p\)-Laplacian ⋮ Multipoint boundary value problems for a second-order ordinary differential equation ⋮ Multiple positive solutions to a three-point boundary value problem with \(p\)-Laplacian

Cites Work

• Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation
• Solvability of an \(m\)-point boundary value problem for second order ordinary differential equations
• On the existence of two solutions of the four-point problem
• Boundary value problems for general second order equations and similarity solutions to the Rayleigh problem
• Multiplicity results for four-point boundary value problems
• Monotone method for nonlinear second order periodic boundary value problems with Carathéodory functions
• On a nonlinear second order periodic boundaryvalue problem with Carathéodory functions
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