Yulin Zhao, Haibo Chen, Chengjie Xu
Abstract:
We prove the existence of at least three solutions for a
second-order three-point boundary-value problem on
infinite intervals in Banach spaces. We use the
unbounded upper and lower solution method, and the
topological degree theory of strict-set-contractions.
To illustrate our results, we present an example.
Submitted August 4, 2011. Published March 20, 2012.
Math Subject Classifications: 34B15.
Key Words: Boundary value problem; lower and upper solution;
strict-set-contraction; Banach space.
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Yulin Zhao School of Science, Hunan University of Technology Zhuzhou, 412008, China email: zhaoylch@sina.com | |
Haibo Chen Department of Mathematics, Central South University Changsha, 410075, China email: math_chb@mail.csu.edu.cn | |
Chengjie Xu School of Science, Hunan University of Technology Zhuzhou, 412008, China email: xu-chengjie@163.com |
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