The shooting method and integral boundary value problems of third-order differential equation

DOI10.1186/s13662-016-0824-4zbMath1419.34103OpenAlexW2400224525WikidataQ59467595 ScholiaQ59467595MaRDI QIDQ1725517

Huihui Pang, Wenyu Xie

Publication date: 14 February 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-0824-4

zbMATH Keywords

positive solutionshooting methodthird-orderboundary conditions including Stieltjes integrals

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Applications of operator theory to differential and integral equations (47N20) 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)

Unnamed Item ⋮ The shooting method and positive solutions of fourth-order impulsive differential equations with multi-strip integral boundary conditions ⋮ On some properties of positive solutions for a third-order three-point boundary value problem with a parameter ⋮ Existence and uniqueness of monotone positive solutions for a third-order three-point boundary value problem ⋮ Application of the mixed monotone operator to a nonlinear third-order boundary value problem

Cites Work

• Unnamed Item
• Unnamed Item
• A note on the shooting method and its applications in the Stieltjes integral boundary value problems
• Successive iteration and positive solutions for a third-order boundary value problem involving integral conditions
• Third order problems with nonlocal conditions of integral type
• Existence of positive solutions to third order differential equations with advanced arguments and nonlocal boundary conditions
• Positive solutions for nonlinear singular third order boundary value problem
• Uniqueness implies existence for three-point boundary value problems for second order differential equations
• Positive solutions of nonlinear singular third-order two-point boundary value problem
• Existence and iteration of positive solutions for a generalized right-focal boundary value problem with \(p\)-Laplacian operator
• Positive solutions of a singular nonlinear third order two-point boundary value problem
• Third-order boundary value problems with sign-changing solutions
• Exact number of solutions of stationary reaction-diffusion equations
• Third order boundary value problems with nonlocal boundary conditions
• Positive solutions for third order semipositone boundary value problems
• The numerical solution of multipoint boundary value problems
• The existence of solution for a third-order two-point boundary value problem
• The existence and multiplicity of positive solutions for a third-order three-point boundary value problem.
• Uniqueness and existence results for a third-order nonlinear multi-point boundary value problem
• The shooting method and nonhomogeneous multipoint BVPs of second-order ODE
• 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

This page was built for publication: The shooting method and integral boundary value problems of third-order differential equation