摘要
讨论了具有两个滞量的微分差分方程周期解的存在性.在HT1空间内,构造了一个泛函φ(u),并且证明了方程存在周期解和泛函具有临界点的等价性.再利用泛函的临界点理论,得到了方程具有周期解的充分条件.
The existence of periodic solutions of differential difference equation with two delays is studied. A functional φ（u） on Hr^1 is constructed. The equivalence of periodic solutions of the equations and critical points of the functional is investigated. Some sufficient conditions for the existence of periodic solutions of the equation are ohtained by using the theory of critical point in functional.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2006年第4期457-461,共5页
Journal of Natural Science of Heilongjiang University
基金
山东省教育厅科技计划项目(03P51J04A60)
济南大学科技基金资助项目(Y0414)
关键词
微分差分方程
临界点
弱下半连续
differential difference equation
critical point
weakly lower semi -continuous
