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高维非自治系统的周期解
引用本文:商立军 张棣. 高维非自治系统的周期解[J]. 生物数学学报, 1996, 11(2): 16-25
作者姓名:商立军 张棣
作者单位:第四军医大学!西安710032(商立军),西北大学!西安710069(张棣,党新益)
摘    要:本文通过建立并利用齐次线性方程解的估计公式,获得了周期系统(1)的周期解的存在性、唯一性定理,对周期系统(2)给出了一个平稳振荡定理,最后给出了实例。

关 键 词:非自治系统  周期解  存在性  唯一性  平稳振荡

ON PERIODIC SOLUTION OF THE HIGHER ORDER NONAUTONOMOUS SYSTEMS
Shang Lijun,Zhang Di,Dang Xinyi. ON PERIODIC SOLUTION OF THE HIGHER ORDER NONAUTONOMOUS SYSTEMS[J]. Journal of Biomathematics, 1996, 11(2): 16-25
Authors:Shang Lijun  Zhang Di  Dang Xinyi
Affiliation:Shang Lijun;Zhang Di;Dang Xinyi(The Fourth Military Medical University)(Northwest Univesity)
Abstract:In this paper,the authors obtain the existence theorem,unique theorem of periodic solution of the periodic system (1) and stationary oscillation theorem of the periodic system (2) by the method of the estimated formulae of solution of the homogenous linear system,in the end,applied examples are given.?
Keywords:Non-autonomous system  periodic solution  existence  uniqueness  stable oscillation
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