Nontrivial solutions of singular sublinear Sturm--Liouville problems

DOI10.1016/J.JMAA.2006.03.003zbMath1111.34023OpenAlexW2043007262MaRDI QIDQ860935

Guowei Zhang, Jingxian Sun

Publication date: 9 January 2007

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.2006.03.003

zbMATH Keywords

nontrivial solutionpositive solutiontwo-point boundary value problemsecond-order singular equation

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (17)

New results of positive solutions for the Sturm-Liouville problem ⋮ The method of upper and lower solutions to impulsive differential equation with Sturm-Liouville integral boundary conditions ⋮ Positive solutions of sub-superlinear Sturm-Liouville problems ⋮ Nontrivial solutions for a fractional boundary value problem ⋮ Nontrivial solutions of higher-order nonlinear singular fractional differential equations with fractional multi-point boundary conditions ⋮ Nontrivial solutions for a class of fractional differential equations with integral boundary conditions and a parameter in a Banach space with lattice ⋮ Solutions of periodic boundary value problems for second-order nonlinear differential equations via variational methods ⋮ Constant-sign and sign-changing solutions for the Sturm-Liouville boundary value problems ⋮ Multiple solutions of Sturm-Liouville boundary value problem via lower and upper solutions and variational methods ⋮ Solutions of second order multi-point boundary value problems ⋮ Multiple sign-changing solutions to the Sturm-Liouville boundary value problem with resonance ⋮ NONTRIVIAL SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS FOR NONLINEAR HIGHER-ORDER SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS ⋮ Computation of topological degree in ordered Banach spaces with lattice structure and applications. ⋮ Sign-changing and multiple solutions of the Sturm-Liouville boundary value problem via invariant sets of descending flow ⋮ Existence of positive solutions for multi-point semi-positive boundary value problems ⋮ A collection of computational techniques for solving singular boundary-value problems ⋮ A new existence result of positive solutions for the Sturm-Liouville boundary value problems

Cites Work

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• Positive solutions to certain classes of singular nonlinear second order boundary value problems
• Positive solutions of singular sublinear Emden-Fowler boundary value problems
• Positive solutions to second-order boundary value problems with sign-changing nonlinear terms
• Eigenvalue criteria for existence of positive solutions to nonlinear boundary value problems
• On the existence and nonexistence of positive solutions for nonlinear Sturm--Liouville boundary value problems
• Positive solutions for singular nonlinear boundary value problems

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