Positive solutions of a singular nonlinear third order two-point boundary value problem

DOI10.1016/j.jmaa.2006.03.030zbMath1111.34022OpenAlexW2062932866MaRDI QIDQ860972

Kang, Shin Min, Liu, Zeqing, Ume, Jeong Sheok

Publication date: 9 January 2007

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.2006.03.030

zbMATH Keywords

Green's functionpositive solutionKrasnosel'skii fixed-point theoremsingular nonlinear third-order two-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)

Related Items (19)

Nagumo theorems of third-order singular nonlinear boundary value problems ⋮ Positive solutions of a third-order BVP independent of the sign of the Green's function ⋮ Existence results of periodic solutions for third‐order nonlinear singular differential equation ⋮ Positive solutions of a third-order boundary value problem with full nonlinearity ⋮ Positive solutions of nonlinear beam equations with time and space singularities ⋮ Monotone positive solution of nonlinear third-order BVP with integral boundary conditions ⋮ Positive solutions for third-order boundary value problems with indefinite weight ⋮ Infinitely many nodal solutions of superlinear third order two-point boundary value problems ⋮ Existence of positive solutions to third order differential equations with advanced arguments and nonlocal boundary conditions ⋮ The shooting method and integral boundary value problems of third-order differential equation ⋮ Positive solutions for nonlinear singular third order boundary value problem ⋮ Solvability for a third-order three-point BVP on time scales ⋮ Existence of monotone positive solutions to a third order two-point generalized right focal boundary value problem ⋮ Existence of positive periodic solutions for third-order differential equation with strong singularity ⋮ Some necessary and sufficient conditions for existence of positive solutions for third order singular super-linear multi-point boundary value problems ⋮ Third-order differential equations with three-point boundary conditions ⋮ Existence and iteration of monotone positive solutions for a third-order two-point boundary value problem ⋮ Local existence of multiple positive solutions to a singular cantilever beam equation ⋮ Existence of positive solutions for \(n\)th-order singular sublinear boundary value problems with all derivatives

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The method of lower and upper solutions for second, third, fourth, and higher order boundary value problems
• A boundary value problem from draining and coating flows involving a third-order ordinary differential equation
• The numerical solution of third-order boundary-value problems using quintic splines
• Green's function for a third-order generalized right focal problem.
• The existence of solution for a third-order two-point boundary value problem
• A uniqueness and existence theorem for a singular third-order boundary value problem on \([0,\infty)\)
• The existence and multiplicity of positive solutions for a third-order three-point boundary value problem.
• Positive solutions of singular third-order three-point boundary value problem
• Solutions of Third-Order Differential Equations Relevant to Draining and Coating Flows
• Two Problems from Draining Flows Involving Third-Order Ordinary Differential Equations
• Positive solution of a singular nonlinear third-order periodic boundary value problem
• Multiple solutions and eigenvalues for third-order right focal boundary value problems

This page was built for publication: Positive solutions of a singular nonlinear third order two-point boundary value problem