Oscillation of a Class of Impulsive Differential Equations with Continuous and Piecewise Constant Arguments

TL;DR

This paper investigates the oscillatory behavior of solutions to a specific class of impulsive differential equations with both continuous and piecewise constant arguments, providing conditions that guarantee oscillation.

Contribution

It introduces new sufficient conditions for the oscillation of solutions in impulsive differential equations with mixed arguments, expanding existing theoretical understanding.

Findings

Established criteria for oscillation based on equation parameters

Identified conditions under which solutions oscillate

Enhanced theoretical framework for impulsive differential equations

Abstract

A class of first order linear impulsive differential equation with continuous and piecewise constant arguments is studied. Sufficient conditions for the oscillation of the solutions are obtained.