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一类非线性微分方程组的概周期解
ALMOST PERIODIC SOLUTIONS FOR SOME NON-LINEAR DIFFERENTIAL EQUATION SYSTEMS
【摘要】 应用构造Liapunov函数的方法,研究一类非线性微分方程组概周期解的存在唯一性,在一定条件下,证明了该系统存在唯一的一致渐近稳定的概周期解.
【Abstract】 In this paper, the existence and uniqueness of the almost periodic solutions for some non-linear differential equation systems are studied by using the method of constituting liapunov function.The exlstence of unique and uniformly asymptotlc stable,almost periodic solution for this system Is proven under some condition.
【关键词】 非线性方程组;
有界解;
概周期解;
存在唯一性;
【Key words】 non-linear differential equation system; bounded solution; almost periodic solutions; existence and uniqueness;
【Key words】 non-linear differential equation system; bounded solution; almost periodic solutions; existence and uniqueness;
- 【文献出处】 广西师范大学学报(自然科学版) ,JOURNAL OF GUANGXI NORMAL UNIVERSITY(NATURAL SCIENCE) , 编辑部邮箱 ,1994年03期
- 【分类号】O175.14
- 【被引频次】2
- 【下载频次】25