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

Year 2017, Volume: 46 Issue: 6, 1077 - 1091, 01.12.2017

Gizem S. Oztepe

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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