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

ANZIAM J. 47 (2005), 249-263

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

Zhengqiu Zhang
Department of Applied Mathematics
Hunan University
Changsha 410082
P. R. China
z_q_zhang@sina.com.cn

Yusen Zhu
Department of Applied Mathematics
Hunan University
Changsha 410082
P. R. China

and

Biwen Li
College of Mathematics
Wuhan University
Wuhan 430072
P. R. China

Abstract

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.

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Australian Mathematical Publishing Association Inc.