EXISTENCE RESULTS FOR IMPULSIVE NEUTRAL EVOLUTION DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY  

作　　者：Wensheng Li(Dept. of Basic Courses,Xi’an Aerotechnical College,Xi’an 710077) Yongkui Chang(Dept. of Math.,Lanzhou Jiaotong University,Lanzhou 730070) 

出　　处：《Annals of Differential Equations》2011年第1期36-47,共12页微分方程年刊（英文版）

基　　金：Supported by NNSF of China (10901075);the Key Project of Chinese Ministry of Education (210226);the Scientific Research Fund of Gansu Provincial Education Department (0804-08);"Qing Lan" Talent Engineering Funds (QL-05-16A) by Lanzhou Jiaotong University

摘　　要：This paper is mainly concerned with the existence of mild solutions to a first order impulsive neutral evolution differential equations with state-dependent delay. By suitable fixed point theorems combined with theories of evolution systems,we prove some existence theorems. As an application,an example is also given to illustrate the obtained results.This paper is mainly concerned with the existence of mild solutions to a first order impulsive neutral evolution differential equations with state-dependent delay. By suitable fixed point theorems combined with theories of evolution systems,we prove some existence theorems. As an application,an example is also given to illustrate the obtained results.

关 键 词：impulsive differential equations neutral evolution differential equations state-dependent delay evolution systems 

分 类 号：O175[理学—数学]