Existence and monotone iteration of positive solutions for a three-point boundary value problem

DOI10.1016/J.AML.2007.07.019zbMath1152.34313OpenAlexW2063425135MaRDI QIDQ998565

Huihui Pang, Weigao Ge, Mei-Qiang Feng

Publication date: 29 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.aml.2007.07.019

zbMATH Keywords

iterationcompletely continuousthree-point boundary value problemmonotone positive solutionquasi-symmetric

Mathematics Subject Classification ID

Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Monotone systems involving ordinary differential equations (34C12)

Related Items (11)

Positive solutions of a nonlinear three-point integral boundary value problem ⋮ Solving nonlinear boundary value problems by a boundary shape function method and a splitting and linearizing method ⋮ Positive solutions of the three-point boundary value problem for fractional-order differential equations with an advanced argument ⋮ A second-order boundary value problem with nonlinear and mixed boundary conditions: existence, uniqueness, and approximation ⋮ Existence and monotone iteration of positive pseudosymmetric solutions for a third-order four-point BVP ⋮ Application of fixed-point index theory for a nonlinear fractional boundary value problem with an advanced argument ⋮ Necessary and sufficient conditions for the existence of quasi-symmetric positive solutions of singular boundary value problem ⋮ Positive solutions of multi-point boundary value problems with multivalued operators at resonance ⋮ Boundary shape function iterative method for nonlinear second-order boundary value problems with nonlinear boundary conditions ⋮ Exact solutions of a class of second-order nonlocal boundary value problems and applications ⋮ Existence of positive pseudo-symmetric solution for second-order three-point boundary value problems

Cites Work

• Unnamed Item
• Multiple symmetric nonnegative solutions of second-order ordinary differential equations.
• Existence and iteration of \(n\) symmetric positive solutions for a singular two-point boundary value problem
• Existence of three positive pseudo-symmetric solutions for a one dimensional \(p\)-Laplacian
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Positive solutions for second-order three-point boundary value problems

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