Banach空间中中立型双扰动发展方程解的存在性(英文)  

Existence of solutions for double perturbed neutral functional evolution equations in Banach spaces

作　　者：叶润萍[1] 周永安[1] 

机构地区：[1]宿迁学院教师教育系,江苏宿迁223800

出　　处：《徐州师范大学学报（自然科学版）》2009年第3期24-29,共6页Journal of Xuzhou Normal University(Natural Science Edition)

摘　　要：利用Hausdorff非紧测度理论及Darbo-Sadovskii不动点定理,研究Banach空间中在相关发展系统失去紧性的情况下中立型双扰动发展方程适度解的存在性,推广和改进了一些已知结果.This paper is concerned with double perturbed neutral functional evolution equations with infinite delay in Banach spaces. The existence of mild solutions to such equations is obtained by using the theory of the Hausdorff measure of noneompactness and Darbo-Sadovskii fixed point theorem, without the compactness assumption on associated evolution system. Our results improve and generalize some previous ones.

关 键 词：无穷时滞发展方程 发展系统 适度解 HAUSDORFF非紧测度 相空间 

分 类 号：O177.92[理学—数学]