Successive iteration and positive solutions for a third-order boundary value problem involving integral conditions

DOI10.1186/s13661-015-0402-9zbMath1347.34043OpenAlexW2167561183WikidataQ59434563 ScholiaQ59434563MaRDI QIDQ283459

Wenyu Xie, Huihui Pang, Limei Cao

Publication date: 13 May 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-015-0402-9

zbMATH Keywords

completely continuousmonotone positive solutioniterativeRiemann-Stieltjes integral boundary conditions

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) 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 (5)

A family of singular ordinary differential equations of the third order with an integral boundary condition ⋮ Positive solutions for higher order differential equations with integral boundary conditions ⋮ Unnamed Item ⋮ The shooting method and integral boundary value problems of third-order differential equation ⋮ Positive solution for singular third-order BVPs on the half line with first-order derivative dependence

Cites Work

• Unnamed Item
• Boundary value problems for nonlinear fractional integro-differential equations: theoretical and numerical results
• Second order singular boundary value problems with integral boundary conditions
• Existence and iteration of positive solutions for a generalized right-focal boundary value problem with \(p\)-Laplacian operator
• Third order boundary value problems with nonlocal boundary conditions
• Positive solutions for third order semipositone boundary value problems
• Uniqueness and existence results for a third-order nonlinear multi-point boundary value problem
• Positive solutions of singular third-order three-point boundary value problem
• POSITIVE SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS: A UNIFIED APPROACH
• Positive solutions of some higher order nonlocal boundary value problems
• Non-local boundary value problems of arbitrary order

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