| Multiplicity of positive periodic solutions to superlinear repulsive singular equations | |
| Jiang, DQ ; Chu, JF ; Zhang, M | |
| 2010-05-06 ; 2010-05-06 | |
| 关键词 | multiplicity superlinear repulsive singular equation periodic solution 2ND-ORDER DIFFERENTIAL-EQUATIONS EXISTENCE THEOREM Mathematics |
| 中文摘要 | In this paper, we study positive periodic solutions to the repulsive singular perturbations of the Hill equations. It is proved that such a perturbation problem has at least two positive periodic solutions when the anti-maximum principle holds for the Hill operator and the perturbation is superlinear at infinity. The proof relies on a nonlinear alternative of Leray-Schauder type and on Krasnoselskii fixed point theorem on compression and expansion of cones. (c) 2005 Elsevier Inc. All rights reserved. |
| 语种 | 英语 ; 英语 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE ; SAN DIEGO ; 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/14067]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | Jiang, DQ,Chu, JF,Zhang, M. Multiplicity of positive periodic solutions to superlinear repulsive singular equations[J],2010, 2010. |
| APA | Jiang, DQ,Chu, JF,&Zhang, M.(2010).Multiplicity of positive periodic solutions to superlinear repulsive singular equations.. |
| MLA | Jiang, DQ,et al."Multiplicity of positive periodic solutions to superlinear repulsive singular equations".(2010). |
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