Multiple positive solutions for a class of m-point boundary value problems

DOI10.1016/j.aml.2007.10.019zbMath1163.34324OpenAlexW2024473574MaRDI QIDQ1027457

Xuemei Zhang, Weigao Ge, Mei-Qiang Feng

Publication date: 29 June 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2007.10.019

zbMATH Keywords

existencepositive solutionfixed point index theorycompletely continuousmulti-point boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items

Multiple positive solutions of fourth-order impulsive differential equations with integral boundary conditions and one-dimensional \(p\)-Laplacian ⋮ Existence of three solutions to a second-order nonhomogeneous multipoint boundary-value problem ⋮ Positive solutions for a class of third-order three-point boundary value problem ⋮ Second order three-point boundary value problems in abstract spaces ⋮ Existence theorems for a second order nonlinear differential equation with nonlocal boundary conditions and their applications ⋮ Existence and uniqueness of solution to nonlinear boundary value problems with sign-changing Green's function ⋮ Positive solutions of \(n\)th-order impulsive boundary value problems with integral boundary conditions in Banach spaces

Cites Work

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• Twin solutions of boundary value problems for ordinary differential equations and finite difference equations
• Triple solutions for second-order three-point boundary value problems
• A multiplicity result for a boundary value problem with infinitely many singularities
• Positive solution for \(m\)-point boundary value problems
• Positive solutions of a nonlinear \(m\)-point boundary value problem