一类具偏差变元的Duffing方程周期解的存在唯一性(英文)  

On the Existence and Uniqueness of Periodic Solution for Duffing Type Differential Equations with a Deviating Argument

作　　者：李晓静[1] 周友明[1] 陈绚青[1] 鲁世平[2] 

机构地区：[1]江苏技术师范学院数理学院,江苏常州213001 [2]安徽师范大学数学系,安徽芜湖241000

出　　处：《应用数学》2012年第2期335-340,共6页Mathematica Applicata

基　　金：Supported by the Natural Science Foundation of Jiangsu in China(BK2009105,BK2008119);the Natural Science Foundation of Jiangsu Education Committee,China(09kjd110001,08kjb110011);the Jiangsu Teachers University of Technology Foundation(KYY11086)

摘　　要：本文允许线性项x′(t)前的系数β(t)可变号的条件下,研究如下一类具偏差变元的Duffing方程:x″(t)+β(t)x′(t)+g(t,x(t-τ(t)))=p(t).获得了周期解的存在唯一性新结果.In this paper,allowing the coefficient β（t） ahead of linear terra x＇（t） to change sign, we study a kind of differential equation with a deviating argument as follows： X11（t） .＋β（t）.z1（t）-g（t· x（t-r（t））） = p（t）. Some new results on the existence and uniqueness of periodic solution are ob- tained.

关 键 词：周期解 存在唯一性 重合度 偏差变元 

分 类 号：O175.1[理学—数学]