Existence of countably many positive solutions of \(n\)th-order \(m\)-point boundary value problems

DOI10.1016/J.CAM.2008.05.029zbMath1178.34018OpenAlexW2031105639MaRDI QIDQ1002191

Sihua Liang, Ji Hui Zhang

Publication date: 25 February 2009

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

Full work available at URL: https://doi.org/10.1016/j.cam.2008.05.029

zbMATH Keywords

singularityfixed point indexconesmultiple positive solutionsmulti-point boundary value problem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) 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) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (4)

A generalization of Ascoli–Arzelá theorem inCⁿwith application in the existence of a solution for a class of higher-order boundary value problem ⋮ On eigenvalue intervals of higher-order boundary value problems with a sign-changing nonlinear term ⋮ Bifurcation of sign-changing solutions for \(m\)-point boundary value problems ⋮ Existence and uniqueness of solution to nonlinear boundary value problems with sign-changing Green's function

Cites Work

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• The existence of positive solutions for some nonlinear equation systems
• On the existence of positive solutions for semilinear elliptic equations in the annulus
• A multiplicity result for a boundary value problem with infinitely many singularities
• Positive solutions of three-point boundary value problems for the one-dimensional \(p\)-Laplacian with infinitely many singularities.
• Multiple positive solutions to a three-point boundary value problem with \(p\)-Laplacian
• The existence of countably many positive solutions for nonlinear singular \(m\)-point boundary value problems
• Existence of three positive solutions for quasi-linear boundary value problem
• The existence of positive solutions for some nonlinear boundary value problems with linear mixed boundary conditions
• The existence of positive solutions for the one-dimensional $p$-Laplacian
• Multiplicity results for singular conjugate, focal, and \((N,P)\) problems

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