中立型无穷时滞微分方程适度解的存在性  

Existence of solutions to neutral differential equations with infinite delay

作　　者：张学茂[1,2] 董琪翔[1] 李刚[1] 

机构地区：[1]扬州大学数学科学学院,江苏扬州225002 [2]泰州师范高等专科学校数理系,江苏泰州225300

出　　处：《扬州大学学报（自然科学版）》2009年第1期14-17,47,共5页Journal of Yangzhou University：Natural Science Edition

基　　金：国家自然科学基金资助项目(10571150)

摘　　要：对B anach空间中的一类中立型无穷时滞微分方程引入适度解的定义,利用H ausdorff非紧测度、解析半群以及D arbo不动点理论,在不假设相关半群具有紧性条件下,得到此类方程适度解的存在性定理,对已有的一些结果进行了改进和推广.The concept of mild solution is introduced for a class of neutral differential equations with infinite delay in Banaeh spaces. The existence of mild solutions to such equations is obtained by using the theory of semilinear group of linear operators, Hausdorff measure of noncompactness and fixed point theorem, without the compactness assumption on associated semigroups, which improves and generalizes some previous results.

关 键 词：HAUSDORFF非紧测度 适度解 解析半群 中立型微分方程 时滞微分方程 

分 类 号：O175.15[理学—数学]