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时滞微分方程多个及无穷多个周期解的存在性
引用本文:葛渭高.时滞微分方程多个及无穷多个周期解的存在性[J].北京理工大学学报(英文版),1993,2(1):5-14.
作者姓名:葛渭高
作者单位:北京理工大学应用数学系 北京
摘    要:研究时滞微分方程 x(t)=±f(x(t—1))±f(x(t—2))及 x(t)=±f(x(t—1))周期解的存在性,给出了存在多个及无穷多个周期解的充分条件,结果是新的。

关 键 词:差分微分方程  周期解  对称性

Existence of Many and Infinitely Many Periodic Solutions for Some Types of Differential Delay Equations
Ge Weigao.Existence of Many and Infinitely Many Periodic Solutions for Some Types of Differential Delay Equations[J].Journal of Beijing Institute of Technology,1993,2(1):5-14.
Authors:Ge Weigao
Affiliation:Department of Applied Mathematics,Beijing Institute of Technology,Beijing 100081
Abstract:J.Kaplan and J.Yorke's method is extended to establish the exis- tence of many and infinitely many periodic solutions for the DDEs (t) =±f(x(t-1))±f(x(t-2))and (t)=±f(x(t-1).
Keywords:difference differential equation  periodic solution  symmetry
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