Existence of symmetric positive solutions for a class of Sturm-Liouville-like boundary value problems

DOI10.1016/J.AMC.2009.04.008zbMath1215.34035OpenAlexW2151436888MaRDI QIDQ833129

Ke Liu, Zhongli Wei, Jingbao Yang

Publication date: 12 August 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.04.008

zbMATH Keywords

positive solution\(p\)-Laplacian operatorfour-point boundary value problemfixed-point theorem of cone expansion and compression

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (9)

Existence results for an impulsive Sturm-Liouville boundary value problems with mixed double parameters ⋮ A note on the dependence of solutions on functional parameters for nonlinear Sturm-Liouville problems ⋮ Sturm-Liouville BVP in Banach space ⋮ Existence and multiplicity of solutions for an impulsive boundary value problem with a parameter via critical point theory ⋮ Positive solutions for Sturm-Liouville boundary value problems in a Banach space ⋮ Systems of nonlinear Sturm-Liouville problems -- the dependence of solutions on functional parameters ⋮ Existence of positive solutions for Sturm-Liouville-like boundary value problem with \(p\)-Laplacian on time scales ⋮ Three solutions for a p-Laplacian boundary value problem with impulsive effects ⋮ Three homoclinic solutions for second-order \(p\)-Laplacian differential system

Cites Work

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• Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation
• Positive solutions of singular sublinear Emden-Fowler boundary value problems
• Positive solutions of three-point boundary value problems for the one-dimensional \(p\)-Laplacian with infinitely many singularities.
• Existence of three positive pseudo-symmetric solutions for a one dimensional \(p\)-Laplacian
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• The existence of symmetric positive solutions for Sturm-Liouville-like four-point boundary value problem with a \(p\)-laplacian operator
• Triple symmetric positive solutions for multipoint boundary-value problem with one-dimensional \(p\)-Laplacian
• Existence and iteration of positive pseudo-symmetric solutions for a three-point second-order \(p\)-Laplacian BVP
• The existence of symmetric positive solutions for some nonlinear equation systems

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