A necessary and sufficient condition for the existence of positive solutions to singular sublinear three-point boundary value problems

DOI10.1016/j.amc.2006.07.120zbMath1128.34010OpenAlexW2058242278MaRDI QIDQ876608

Xinsheng Du, Zengqin Zhao

Publication date: 26 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.120

zbMATH Keywords

maximum principlelower and upper solutionspositive solutionsecond-order singular three-point boundary value problem

Mathematics Subject Classification ID

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 (11)

Existence and uniqueness of smooth positive solutions to a class of singular \(m\)-point boundary value problems ⋮ Existence and uniqueness of positive solution for a singular nonlinear second-order \(m\)-point boundary value problem ⋮ Existence and uniqueness of positive solutions for some singular boundary value problems with linear functional boundary conditions ⋮ Positive solutions for fourth-order singular \(p\)-Laplacian differential equations with integral boundary conditions ⋮ Existence of solutions for singular second-order ordinary differential equations with periodic and deviated nonlocal multipoint boundary conditions ⋮ Existence and uniqueness of positive solutions to a class of singular \(m\)-point boundary value problems ⋮ A necessary and sufficient condition for the existence of positive solutions to a kind of singular three-point boundary value problem ⋮ Monotone positive solution for three-point boundary value problem ⋮ Necessary and sufficient conditions for the existence of positive solutions of fourth order multi-point boundary value problems ⋮ Positive solutions to second-order singular nonlocal problems: existence and sharp conditions ⋮ Existence of positive pseudo-symmetric solution for second-order three-point boundary value problems

Cites Work

• Successive iteration and positive solution for nonlinear second-order three-point boundary value problems
• A generalized multi-point boundary value problem for second order ordinary differential equations
• 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
• A sharper condition for the solvability of a three-point second order boundary value problem
• Existence theorems for a second order \(m\)-point boundary value problem
• The upper and lower solution method for a class of singular nonlinear second order three-point boundary value problems
• Positive solutions for second-order three-point boundary value problems
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