- Hacettepe Journal of Mathematics and Statistics
- Vol: 46 Issue: 6
- Existence and qualitative properties of solutions of a second order mixed type impulsive differentia...
Existence and qualitative properties of solutions of a second order mixed type impulsive differential equation with piecewise constant arguments
Authors : Gizem S. Oztepe
Pages : 1077-1091
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Publication Date : 2017-12-01
Article Type : Research
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