Advances in Difference Equations
Volume 2010 (2010), Article ID 136504, 9 pages
doi:10.1155/2010/136504
Research Article

On Exact Controllability of First-Order Impulsive Differential Equations

Juan J. Nieto1 and Christopher C. Tisdell2

1Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, Santiago de Compostela 15782, Spain
2School of Mathematics and Statistics, The University of New South Wales, Sydney 2052, Australia

Received 5 October 2009; Revised 8 January 2010; Accepted 24 February 2010

Academic Editor: Josef Diblik

Copyright © 2010 Juan J. Nieto and Christopher C. Tisdell. 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

Many dynamical systems have an impulsive dynamical behavior due to abrupt changes at certain instants during the evolution process. The mathematical description of these phenomena leads to impulsive differential equations. In this work, we present some new results concerning the exact controllability of a nonlinear ordinary differential equation with impulses.