Impulsive Integrodifferential Equations Involving Nonlocal Initial Conditions

Advances in Difference Equations

Jun Xia¹  Rong-Nian Wang¹ 

[1] Department of Mathematics, NanChang University, NanChang, China

关键词: Banach Space;    Cauchy Problem;    Mild Solution;    Fractional Brownian Motion;    Sectorial Operator;   

DOI  :  10.1155/2011/634701

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We focus on a Cauchy problem for impulsive integrodifferential equations involving nonlocal initial conditions, where the linear part is a generator of a solution operator on a complex Banach space. A suitable mild solution for the Cauchy problem is introduced. The existence and uniqueness of mild solutions for the Cauchy problem, under various criterions, are proved. In the last part of the paper, we construct an example to illustrate the feasibility of our results.

【 授权许可】

CC BY