Oscillatory Conditions on Both Directions for a Nonlinear Impulsive Differential Equation with Deviating Arguments

Abstract

It has been observed that most investigations on the oscillations of impulsive differential equations are one-directional.  No explanation has hitherto been contemplated for such restrictions. In this paper, we propose some sufficient conditions for both-directional oscillation of a nonlinear delay impulsive differential equation with several retarded arguments.  An example of a one-dimensional delay impulsive equation is given to further demonstrate the efficiency of the approach.