Existence and Controllability Results for Fractional Impulsive Integrodifferential Systems in Banach Spaces

被引：8

作者：

Qin, Haiyong ^{[1
]}

Zuo, Xin ^{[1
]}

Liu, Jianwei ^{[1
]}

机构：

[1] China Univ Petr, Dept Automat, Beijing 102249, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

关键词：

INITIAL-VALUE PROBLEMS; DIFFERENTIAL-EQUATIONS; EVOLUTION-EQUATIONS; POSITIVE SOLUTIONS; ORDER;

D O I：

10.1155/2013/295837

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We firstly study the existence of PC-mild solutions for impulsive fractional semilinear integrodifferential equations and then present controllability results for fractional impulsive integrodifferential systems in Banach spaces. The method we adopt is based on fixed point theorem, semigroup theory, and generalized Bellman inequality. The results obtained in this paper improve and extend some known results. At last, an example is presented to demonstrate the applications of our main results.

引用

页数：12

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