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一类具连续分布型微分方程的周期解的存在性
Existence of Periodic Solutions of A Class of Differential Equations with Continuons Distribution
【摘要】 利用重合度理论中的延拓定理讨论了一类具连续分布型微分方程 x· (t) =grad G(x(t) ) +f (t,∫0-rH (s) x(t+s) ds)的周期解的存在性 ,建立了周期解存在的充分条件
【Abstract】 Making use of the continuation theorem in coincidence degree theory,the existence o f periodic solutions of a class of integral differential equations x·(t)=gradG(x(t))+f(t,∫ 0 -r H(s)x(t+s)ds) was discussed,we established the sufficient conditions of the existence of periodic solution.
【关键词】 连续分布型微分方程;
周期解;
延拓定理;
【Key words】 integral differential equations; periodic solution; continuation theorem;
【Key words】 integral differential equations; periodic solution; continuation theorem;
- 【文献出处】 湖北师范学院学报(自然科学版) ,Journal of Hubei Normal University(Natural Science) , 编辑部邮箱 ,2002年01期
- 【分类号】O175.12
- 【被引频次】1
- 【下载频次】13