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