Advanced impulsive differential equations with piecewise constant arguments

Abstract

We prove the existence and uniqueness of the solutions of a class of first order nonhomogeneous advanced impulsive differential equations with piecewise constant arguments. We also study the conditions of periodicity, oscillation, nonoscillation and global asymptotic stability for some special cases. First published online: 09 Jun 2011

Keywords

• impulsive differential equation
• differential equation with piecewise constant argument
• oscillation
• nonoscillation
• periodicity
• global asymptotic stability