Solutions and Green's functions for some linear second-order three-point boundary value problems

Authors:
Zengqin Zhao
Affiliations:
School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, People's Republic of China
Venue:
Computers & Mathematics with Applications
Year:
2008

Citing 2
Cited 0

Positive solutions of a nonlinear three-point boundary value problem

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Existence of three positive solutions for some second-order boundary value problems

Computers & Mathematics with Applications

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Abstract

In this paper we consider the Green's functions for a second-order linear ordinary differential equation with some three-point boundary conditions. We give exact expressions of the unique solutions for the linear three-point boundary problems by the Green's functions. As applications, we study the iterative solutions for some nonlinear singular second-order three-point boundary value problems.