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

Miskolc Mathematical Notes

article

Hüseyin Bereketoğlu¹  Mehtap Lafci Büyükkahraman²  Gizem S. Oztepe¹ 

[1] Department of Mathematics, Faculty of Sciences, Ankara University;Department of Mathematics, Faculty of Arts and Sciences, Us¸ak University

关键词: impulsive differential equation;    piecewise constant argument;    oscillation;    periodicity;   

DOI  :  10.18514/MMN.2020.3231

学科分类：数学（综合）

来源: Miskolci Egyetem

【 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.

【 授权许可】

CC BY