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含有两个时滞项的退化时滞微分方程周期解
引用本文:崔冬玲.含有两个时滞项的退化时滞微分方程周期解[J].生物数学学报,2010(2):241-248.
作者姓名:崔冬玲
作者单位:淮南师范学院数学与计算科学系,安徽淮南232001
基金项目:安徽省高校省级自然科学研究项目(KJ20108445)
摘    要:讨论了含有两个时滞项退化时滞微分方程的周期解的问题,特别的,给出了此类方程存在非常数周期解的充要条件,并对二维退化微分方程给出了非常数周期解存在性的代数判据,并在最后给出一个例子验证了判据的有效性.

关 键 词:退化  时滞  周期解

The Periodic Solution of Singular Differential Equation with Two Time-Delays
CUI Dong-ling.The Periodic Solution of Singular Differential Equation with Two Time-Delays[J].Journal of Biomathematics,2010(2):241-248.
Authors:CUI Dong-ling
Institution:CUI Dong-ling (Huainan Normal University, Huainan Anhui 232001 China)
Abstract:The problem of periodic solutions of singular differential equation with delays is discussed in this paper. Particularly, necessary and sufficient conditions are obtained for the existence of periodic solution and the criteria of existence of periodic solution of two-dimensional singular differential equation with delay is also given. Finally a numeric example is presented to verify the validity of the criteria.
Keywords:Degenerate  Delay  Periodic solution
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