退化时滞中立型微分系统解的存在唯一性及指数估计(英文)  

Existence,Uniqueness and Exponential Estimation of the Solutions for Singular Neutral Differential Delay Systems

作　　者：王晓佳[1] 

机构地区：[1]合肥工业大学数学学院,安徽合肥230009

出　　处：《应用数学》2011年第2期384-390,共7页Mathematica Applicata

基　　金：Supported by the National Nature Science Foundation of China(70631003,90718037);Foundation for the Doctoral Program of MOE(200803590007)

摘　　要：本文主要讨论退化时滞中立型微分系统解的存在唯一性及指数估计问题.通过定义正则矩阵对讨论退化时滞中立型微分系统解的存在唯一性.再定义基解矩阵以及Laplace变换,给出该系统的通解表达式,最后利用通解表达式和Gronwall-Bellman积分不等式给出该系统解的指数估计及解的精确指数界限.This paper discuss existence, uniqueness and exponential estimation of the solutions for singular neutral differential delay systems. By defining the regular matrix couple, we talk about the existence and uniqueness of the solution for singular neutral differential delay system. Then, the general solution are obtained by defining the fundamental solution matrix and using Laplace transformation. Furthermore, we give the expression of exponential estimation and precise exponential extimation of solution for this singular system by using the general solution and Gronwall--Bellman integral inequality.

关 键 词：退化时滞中立型微分系统 解 存在唯一 指数估计 

分 类 号：O175.9[理学—数学]