Behavior of solutions of a nonlinear impulsive system with piecewise constant mixed arguments

[摘要] In this paper, we consider a nonlinear impulsive differential equation system with mixed typed argument and prove the existence and uniqueness of a solution. Moreover, we obtain sufficient conditions for oscillation of the solution and give an example for that. Finally, we show that the solution of the modified version of this equation is k periodic.

[学科分类] 数学（综合）

[关键词] impulsive differential equation;piecewise constant argument;oscillation;periodicity