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无穷时滞Liénard方程的周期解(英文)
Periodic Solutions of Lienard Equations withInfinite Delay
【摘要】 讨论具有无穷时滞Lienard型方程x+(α~2F(x)/αx~2)x+g(t,x_t)=p(t)的周期解问题, 利用重合度理论得到了周期解存在的充分条件.
【Abstract】 The problem of periodic solutions for Lienard equations with infinite delay x+(?)x+g(t,xt)=p(t)is discussed by using Mawhin’s,coincidence degree theory. Some new results on the existence of periodic solutions are derived.
【关键词】 Lienard equations;
infinite delay;
periodic solutions.;
【Key words】 Lienard equations; infinite delay; periodic solutions.;
【Key words】 Lienard equations; infinite delay; periodic solutions.;
【基金】 Supported by the NNSF of China(10071097)
- 【文献出处】 数学研究与评论 ,Journal of Mathematical Research and Exposition , 编辑部邮箱 ,2003年01期
- 【分类号】O175
- 【被引频次】1
- 【下载频次】34