Electron. J. Diff. Equ., Vol. 2012 (2012), No. 44, pp. 1-11.

Existence of multiple solutions for three-point boundary-value problems on infinite intervals in Banach spaces

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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