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A New Class of $$(\omega ,c)$$-Periodic Non-instantaneous Impulsive Differential Equations

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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… Click to show full abstract

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.

Keywords: new class; instantaneous impulsive; periodic non; omega periodic; class omega; non instantaneous

Journal Title: Mediterranean Journal of Mathematics
Year Published: 2020

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