School of Mathematical Sciences
Qufu Normal University
Qufu, Shandong, 273165, China
email: zqzhao@mail.qfnu.edu.cn
Zengqin Zhao
Abstract:
In this paper, we present the Green's functions for a second-order
linear differential equation with three-point boundary conditions.
We give exact expressions of the solutions for the linear three-point
boundary problems by the Green's functions. As applications,
we study uniqueness and iteration of the solutions for a nonlinear
singular second-order three-point boundary value problem.
Submitted February 5, 2007. Published November 21, 2007.
Math Subject Classifications: 34A05, 34B27, 34B05, 34B15.
Key Words: Green's function; second-order three-point boundary value problem;
explicit solution; iteration.
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Zengqin Zhao School of Mathematical Sciences Qufu Normal University Qufu, Shandong, 273165, China email: zqzhao@mail.qfnu.edu.cn |
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