中立型二阶时滞微分方程适度解的存在性  

Existence of solutions for neutral functional differential equation of second-order

作　　者：叶润萍[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]宿迁学院教师教育系,江苏宿迁223800

出　　处：《扬州大学学报（自然科学版）》2010年第4期21-24,共4页Journal of Yangzhou University：Natural Science Edition

基　　金：国家自然科学基金资助项目(10971182);江苏省高校自然科学基金资助项目(09KJB110010);宿迁市科技计划项目(Z2009004)

摘　　要：对Banach空间中一类中立型二阶无穷时滞微分方程引入适度解的定义,利用Hausdorff非紧测度理论和Darbo不动点定理,得到相关算子族在失去紧性的情况下Banach空间中该类型微分方程适度解的存在性.This work introduces the concept of mild solution for a class of neutral functional differential equations of second-order with infinite delay in Banach spaces,and shows the existence of mild solutions to the equations of second-order with infinite delay.The Hausdorff measure of non-compactness and Darbo fixed point theory are used,without the assumption of compactness on the associated family of operators.

关 键 词：中立型泛函微分方程 适度解 HAUSDORFF非紧测度 相空间 

分 类 号：O177.92[理学—数学]