The existence of periodic solutions for coupled pantograph Rayleigh system

Wenxue Li*, Shuang Liu, Dianguo Xu

*此作品的通讯作者

科研成果: 期刊稿件文章同行评审

6 引用 (Scopus)

摘要

In this paper, we consider the existence of periodic solutions for coupled pantograph Rayleigh system, which is a special case of coupled delay Rayleigh system with unbounded memory. The mathematical model of this kind of coupled systems is first proposed. Also, based on a novel method combining coincidence degree theory with Lyapunov method and graph theory, an easily verifiable sufficient criterion is given. As illustrations, a simulation example is presented to show the effectiveness and feasibility of the proposed criterion.

源语言英语
页(从-至)1667-1679
页数13
期刊Mathematical Methods in the Applied Sciences
39
7
DOI
出版状态已出版 - 1 5月 2016
已对外发布

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