Nontrivial solutions of singular superlinear \(m\)-point boundary value problems

DOI10.1016/j.amc.2006.09.036zbMath1121.34030OpenAlexW1995264059MaRDI QIDQ883947

Yumei Zou, Yujun Cui

Publication date: 12 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.09.036

zbMATH Keywords

singularnontrivial solutionstopology degree\(m\)-point boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (6)

Nontrivial solutions of higher-order nonlinear singular fractional differential equations with fractional multi-point boundary conditions ⋮ Existence of nonnegative solutions for second order \(m\)-point boundary value problems at resonance ⋮ Nontrivial solutions of singular fourth-order Sturm-Liouville boundary value problems with a sign-changing nonlinear term ⋮ Existence and uniqueness of solution for Sturm-Liouville fractional differential equation with multi-point boundary condition via Caputo derivative ⋮ NONTRIVIAL SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS FOR NONLINEAR HIGHER-ORDER SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS ⋮ Existence of solutions for singular second-order ordinary differential equations with periodic and deviated nonlocal multipoint boundary conditions

Cites Work

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• Existence of positive solutions for singular second-order \(m\)-point boundary value problems
• Nontrivial solutions of singular superlinear Sturm--Liouville problems
• Multiple positive solutions of nonlinear two-point boundary value problems
• Positive solutions to certain classes of singular nonlinear second order boundary value problems
• Positive solutions of \(m\)-point boundary value problems
• A note on existence of nonnegative solutions to singular semi-positone problems
• Existence of solutions of nonlinear \(m\)-point boundary-value problems
• Positive solutions for singular nonlinear boundary value problems

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