This paper presents a linearization theorem for the impulsive differential equations when the linear system has ordinary dichotomy. We prove that when the linear impulsive system has ordinary dichotomy, the nonlinear system , , , , is topologically conjugated to , , , , where , , represents the jump of the solution at . Finally, two examples are given to show the feasibility of our results.
"Linearization of Impulsive Differential Equations with Ordinary Dichotomy." Abstr. Appl. Anal. 2014 1 - 11, 2014. https://doi.org/10.1155/2014/632109