时滞泛函微分方程解的唯一性和渐近性分析  

Uniqueness and Asymptotic Property of Solution of Delayed Functional Differential Equation

作　　者：赵宪民[1] 

机构地区：[1]莱芜职业技术学院机电工程系,山东莱芜271100

出　　处：《河北北方学院学报（自然科学版）》2012年第5期4-9,15,共7页Journal of Hebei North University:Natural Science Edition

摘　　要：结合时滞泛函微分方程的研究现状,对泛函微分方程解的唯一性和渐近性问题进行了分析:首先,研究了时滞泛函微分方程解的存在性、唯一性;其次,给出一些例子说明通过的特别选择可能改变某些FDE解的存在唯一性;最后给出了泛函微分方程解渐近性。推广了有关文献中的结果。This paper,combining the present researches of delay functional differential equations,analyzes the uniqueness and asymptotic property of the solution of the delay functional differential equation.Firstly,it studies the existence and uniqueness of the solution of the delay functional differential equation.Secondly,it demonstrates with some examples that the existence and uniqueness of some FDE solutions may be changed by τ(t) special selection.Finally,the asymptotic property of the solution of functional differential equations is presented,which generalizes the results in the literature related.

关 键 词：时滞泛函微分方程 唯一性 渐近性 

分 类 号：O175[理学—数学]