一类中立型无穷时滞积分-微分方程适度解的存在性分析  

Existence of Mild Solutions to Neutral Infinite Delay Integrodifferential Equations

作　　者：徐明[1] 

机构地区：[1]泰州师范高等专科学校,江苏泰州225300

出　　处：《泰州职业技术学院学报》2010年第1期47-49,共3页Journal of Taizhou Polytechnic College

摘　　要：利用Hausdorff非紧测度理论、线性算子解析半群理论、分数幂算子和Darbo不动点定理等,得到了当相关半群T(t)在失去紧性等较弱的条件下,一类中立型无穷时滞积分-微分方程适度解的存在性。By using the tools involving the Hausdorff measure of non-compactness, analytic semi group of linear operators and fixed point theory, existence of mild solutions to neutral functional integro-differential equations with infinite delay is obtained, without the assumption of compactness on the associated semi group.

关 键 词：HAUSDORFF非紧测度 线性算子半群 适度解 不动点定理 

分 类 号：O17[理学—数学]