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一类非自治时滞微分方程的正周期解(英文)
Positive periodic solutions of non-autonomous functional differential systems
【摘要】 研究非自治时滞微分方程组 x′(t) =a1 (t)x(t) -λh1 (t)f(x(t-δ1 (t) ) ,y(t-τ1 (t) ) ) ,y′(t) =-a2 (t)y(t) +μh2 (t)f(x(t-δ2 (t) ) ,y(t-τ2 (t) ) ) .给出了保证方程组存在正周期解的充分条件。
【Abstract】 The existence of positive periodic solutions of non-autonomous functional differential systems x′(t)=a 1(t)x(t)-λh 1(t)f(x(t-δ 1(t)),y(t-τ 1(t))), y′(t)=-a 2(t)y(t)+μh 2(t)f(x(t-δ 2(t)),y(t-τ 2(t))). is investigated.It is shown that under reasonable conditions,there exists positive periodic solutions for every λ>0, μ>0.
【关键词】 时滞微分方程组;
正周期解;
锥;
不动点定理;
【Key words】 functional differential system; positive periodic solution; cone; fixed point theorem;
【Key words】 functional differential system; positive periodic solution; cone; fixed point theorem;
【基金】 湖南省教育厅课题基金资助 (0 0C3 16)
- 【文献出处】 湖南理工学院学报(自然科学版) , 编辑部邮箱 ,2004年02期
- 【分类号】O175
- 【下载频次】18