In this paper, we study a new class of \((\omega , c)\)-periodic non-instantaneous impulsive differential equations and we present new properties of the non-instantaneous impulsive Cauchy matrix. We establish existence and uniqueness of \((\omega ,c)\)-periodic solutions for nonlinear impulsive problem via fixed point theorems. Examples are given to illustrate our theoretical results.

中文翻译：

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一类新的$$（\ omega，c）$$（ω，c）-周期非瞬时脉冲微分方程

在本文中，我们研究了一类新的\（（\ omega，c）\）周期非瞬时脉冲微分方程，并介绍了非瞬时脉冲柯西矩阵的新性质。我们通过定点定理建立了非线性脉冲问题\（（\ omega，c）\）周期解的存在性和唯一性。举例说明了我们的理论结果。