Existence of Periodic Solutions for Generalized Liénard-Typed Functional Differential Equations

广义Liénard型泛函微分方程周期解的存在性(英文)

The existence of periodic solutions for a kind of generalized Liénard typed functional differential equation is studied. By means of the continuation theorem of coincidence degree theory, existence criteria are established for the existence of periodic solutions and some previous results are extended.

通过应用迭合度理论中的延拓定理 ,研究一类二阶Li啨ｎａｒｄ型泛函微分方程周期解的存在性 .在论证中主要采用拓扑度、解的先验界的估计和分析方法 .在一定的条件下 ,具有周期变时滞的广义Li啨ｎａｒｄ方程至少一个存在周期解 。