Existence theory for nonresonant singular boundary value problems

DOI10.1017/S0013091500019246zbMath0841.34021OpenAlexW2052972422MaRDI QIDQ4863099

Donal O'Regan

Publication date: 4 February 1996

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500019246

zbMATH Keywords

Green functionnonlinear alternativenonresonant singular boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Green's functions for ordinary differential equations (34B27)

Related Items (9)

Existence and boundary behavior for singular nonlinear differential equations with arbitrary boundary conditions ⋮ A quasilinearization method for a class of second order singular nonlinear differential equations with nonlinear boundary conditions ⋮ The existence of solutions to second-order singular boundary value problems ⋮ Some new existence results for differential and integral equations ⋮ Nonuniform nonresonant singular Dirichlet boundary value problems for the one-dimensional \(p\)-Laplacian with sign changing nonlinearity ⋮ An existence principle for solutions to a singular boundary-value problems ⋮ Nonresonant singular two-point boundary value problems ⋮ Monotone method for singular BVP in the presence of upper and lower solutions ⋮ Nonlinear singular BVP of limit circle type and the presence of reverse-ordered upper and lower solutions

Cites Work

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• On the existence of solutions of a class of singular nonlinear two-point boundary value problems
• Positive solutions for a class of nonlinear singular boundary value problems at resonance
• Existence principles for second order nonresonant boundary value problems
• Existence and uniqueness of solutions of a class of two-point singular nonlinear boundary value problems
• Discrete and continuous boundary problems
• A Priori Bounds and Existence of Positive Solutions for Singular Nonlinear Boundary Value Problems
• Quadratic forms, weighted eigenfunctions and boundary value problems for non-linear second order ordinary differential equations
• Singular sturm liouville problems and existence of solutions to singular nonlinear boundary value problems
• Nonlinear Two Point Boundary Value Problems at Resonance Without Landesman-Lazer Condition
• Necessary and Sufficient Conditions for the Solvability of a Nonlinear Two-Point Boundary Value Problem
• Numerical schemes for degenerate boundary value problems

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