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两类分段对称系统周期解的存在性
引用本文:张无畏.两类分段对称系统周期解的存在性[J].高校应用数学学报(A辑),1999,14(1):2.
作者姓名:张无畏
作者单位:楚雄师范高等专科学校数学系
摘    要:本文研究了两类分段对称系统周期解的存在性,得到了系统相应的周期解存在的充分条件.作为应用,证明了一类具有分段对称性的时滞微分方程的周期解的存在性,推广了现有的相关结果.

关 键 词:分段对称,时滞微分方程,周期解

EXISTENCE OF THE PERIODIC SOLUTION FOR TWO CLASSES OF PIECEWISE SYMMETRIC SYSTEMS
Zhang Wuwei.EXISTENCE OF THE PERIODIC SOLUTION FOR TWO CLASSES OF PIECEWISE SYMMETRIC SYSTEMS[J].Applied Mathematics A Journal of Chinese Universities,1999,14(1):2.
Authors:Zhang Wuwei
Abstract:In this paper, the existence of the periodic solution for two classes of piecewise symmetric systems is studied, and the certain sufficient conditions for the existence of the corresponding systems are obtained. As an application, the existence of the periodic solution for a class of delay differential equations with piecewise sysmmetric condition is proved. Some previous relative results are extended.
Keywords:Piecewise Symmetry  Delay Differential Equations  Periodic Solution  
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