Three positive solutions of a nonlinear three-point boundary value problem.

DOI10.1016/j.jmaa.2003.09.019zbMath1045.34006OpenAlexW2089716492MaRDI QIDQ1419744

Jian Ping Sun, Ya-Hong Zhao, Wang-Tong Li

Publication date: 26 January 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.09.019

zbMATH Keywords

existence of positive solutionsmultipoint boundary value problemfixed-point theorem

Mathematics Subject Classification ID

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 (11)

Generalized approximations and rapid convergence of solutions of \(m\)-point boundary value problems ⋮ Existence and uniqueness of positive solution for a singular nonlinear second-order \(m\)-point boundary value problem ⋮ Positive solutions for second order impulsive differential equations with Stieltjes integral boundary conditions ⋮ Existence of at least three solutions of nonlinear three point boundary value problems with super-quadratic growth ⋮ Existence and multiplicity results for some three-point boundary value problems ⋮ Existence of solutions for second-order three-point integral boundary value problems at resonance ⋮ Triple positive solutions of a class of fourth-order two-point boundary value problems ⋮ Existence of at least three solutions of a second-order three-point boundary value problem ⋮ A generalization of the Leggett-Williams fixed point theorem and its application ⋮ Positive solutions to a type of nonlinear three-point boundary value problem with sign changing nonlinearities ⋮ Existence of positive solution to singular systems of second-order four-point BVPs

Cites Work

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• Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation
• On the existence of positive solutions for semilinear elliptic equations in the annulus
• A sharper condition for the solvability of a three-point second order boundary value problem
• Existence theorems for a second order three-point boundary value problem
• Positive solutions of nonlinear three-point boundary-value problems
• Existence of a solution of a three-point boundary value problem and the spectral radius of a related linear operator
• On the Existence of Positive Solutions of Ordinary Differential Equations

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