Oscillation of a First Order Linear Impulsive Delay Differential Equation with Continuous and Piecewise Constant Arguments

Abstract

A class of rst order linear impulsive delay dierential equation with continuous and piecewise constant arguments is studied. Using a connection between impulsive delay dierential equations and nonimpulsive delay dierential equations sucient conditions for the oscillation of the solutions are obtained.

Nonlinear Second Order Impulsive Difference Equations and their Oscillation Properties

“…Of course, the qualitative study for nonlinear impulsive difference equations of type (E) may be helpful for lossless transmission lines models in high speed computers. For our study, we refer to the monograph [4] by Lakshmikantham et al and some related works [3], [5], [6], [7], [13], [16], [17].…”