Existence and qualitative properties of solutions of a second order mixed type impulsive differential equation with piecewise constant arguments

Abstract

We prove the existence and uniqueness of the solutions of a second order mixed type impulsive differential equation with piecewise constant arguments. Moreover, we study oscillation, non-oscillation and periodicity of the solutions.

Keywords

• Existence of solutions,Oscillation,Non-oscillation,Periodicity,Impulsive differential equation,Piecewise constant argument

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