Advances in Difference Equations
Volume 2010 (2010), Article ID 983483, 22 pages
doi:10.1155/2010/983483
Research Article

Controllability for the Impulsive Semilinear Nonlocal Fuzzy Integrodifferential Equations in n-Dimensional Fuzzy Vector Space

Young Chel Kwun,1 Jeong Soon Kim,1 Min Ji Park,1 and Jin Han Park2

1Department of Mathematics, Dong-A University, Busan 604-714, Republic of Korea
2Department of Applied Mathematics, Pukyong National University, Busan 608-737, Republic of Korea

Received 14 March 2010; Accepted 21 June 2010

Academic Editor: T. Bhaskar

Copyright © 2010 Young Chel Kwun et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We study the existence and uniqueness of solutions and nonlocal controllability for the impulsive semilinear nonlocal fuzzy integrodifferential equations in n-dimensional fuzzy vector space (EN)n by using short-term perturbations techniques and Banach fixed point theorem. This is an extension of the result of Kwun et al. (Kwun et al., 2009) to impulsive system.