时滞依赖状态的非自治多值偏积分微分方程  

On Non-autonomous Multivalued Partial Integro-Differential Equations with State-Dependent Delay

作　　者：李文胜[1] 

机构地区：[1]西安航空学院基础课部,西安710077

出　　处：《数学物理学报（A辑）》2014年第1期139-149,共11页Acta Mathematica Scientia

摘　　要：利用预解算子理论结合Leray-Schauder型多值映射不动点定理,在公理化定义的相空间上,得到了一类时滞依赖状态的非自治多值一阶偏积分微分方程适度解的存在性.This paper is mainly concerned with the existence of mild solutions for a first order non-autonomous multivalued partial integro-differential equations with state-dependent delay. The results are obtained by using theories of resolvent operators combined with the fixed point theorem for nonlinear alternatives of Leray-Schauder type for multivalued version. Finally, we present an example to illustrate the main theorem.

关 键 词：多值偏积分微分方程 预解算子 时滞依赖状态 

分 类 号：O175.22[理学—数学]