On a nonlinear second order periodic boundaryvalue problem with Carathéodory functions

DOI10.4064/ap-62-3-283-291zbMath0839.34031OpenAlexW2028862708MaRDI QIDQ4856844

Junyu Wang, Wen-jie Gao

Publication date: 4 June 1996

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap-62-3-283-291

zbMATH Keywords

existenceminimal and maximal solutionsupper and lower solutionsmonotone iterative techniqueSchauder fixed point theoremsecond order periodic boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

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Nonlinear periodic boundary value problem for a second order ordinary differential equation ⋮ A unified approach to some two-point, three-point, and four-point boundary value problems with Carathéodory functions ⋮ An overview of the lower and upper solutions method with nonlinear boundary value conditions ⋮ Periodic and boundary value problems for second order differential equations ⋮ Positive solutions for singular nonlinear third-order periodic boundary value problems ⋮ Positive solution of a singular nonlinear third-order periodic boundary value problem ⋮ A monotone method for constructing extremal solutions to second-order periodic boundary value problems ⋮ Periodic boundary value problems of second-order impulsive differential equations ⋮ Existence of solutions for a third-order boundary value problem with \(p\)-Laplacian operator and nonlinear boundary conditions ⋮ Multiple positive solutions to a singular \((n-1, 1)\) conjugate boundary value problem with delay ⋮ Extremal solutions of strongly nonlinear discontinuous second-order equations with nonlinear functional boundary conditions

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