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Periodic solutions of a nonlinear oscillatory system with two degrees of freedom

Published online by Cambridge University Press:  17 February 2009

Zhengqiu Zhang ,
Yusen Zhu  and
Biwen Li
Zhengqiu Zhang
Affiliation:
Department of Applied Mathematics, Hunan University, Changsha 410082, P. R. China; e-mail: z_q_zhang@sina.com.cn.
Yusen Zhu
Affiliation:
Department of Applied Mathematics, Hunan University, Changsha 410082, P. R. China; e-mail: z_q_zhang@sina.com.cn.
Biwen Li
Affiliation:
College of Mathematics, Wuhan University, Wuhan 430072, P. R. China.
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Abstract

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We study a nonlinear oscillatory system with two degrees of freedom. By using the continuation theorem of coincidence degree theory, some sufficient conditions are obtained to establish the existence of periodic solutions of the system.

Type
Research Article
Information
The ANZIAM Journal , Volume 47 , Issue 2 , October 2005 , pp. 249 - 263
Copyright
Copyright © Australian Mathematical Society 2005

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