Optimal existence criteria for symmetric positive solutions to a singular three-point boundary value problem

DOI10.1016/j.na.2007.10.050zbMath1159.34316OpenAlexW3151023304MaRDI QIDQ960193

Hong-Rui Sun, She-Jun Wang

Publication date: 16 December 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.10.050

zbMATH Keywords

Green's functionboundary value problemfixed-point indexsymmetric positive solutionsoptimal criteria

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (3)

Fractional differential equations and inclusions with semiperiodic and three-point boundary conditions ⋮ Symmetric positive solutions to singular system with multi-point coupled boundary conditions ⋮ Remarks on a non-local boundary value problem

Cites Work

• Optimal existence criteria for symmetric positive solutions to a three-point boundary value problem
• Positive solutions for singular second order three-point boundary value problems
• Optimal constants in a nonlocal boundary value problem
• Existence and multiplicity of symmetric positive solutions for three-point boundary value problem
• Solvability of \(m\)-point boundary value problems with nonlinear growth
• Multiple positive solutions for a three-point boundary value problem
• Multiple symmetric nonnegative solutions of second-order ordinary differential equations.
• Symmetric solutions of a multi-point boundary value problem
• Eigenvalues of generalized Gelfand models
• On an m-point boundary-value problem for second-order ordinary differential equations
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