In this paper we investigate the existence of solutions for first-order impulsive semilinear functional differential inclusions in Banach spaces. Sufficient condition for the existence is obtained with the well-known Covitz and Nadler’s fixed point theorem for multivalued contractions.

中文翻译：

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脉冲半线性泛函微分包含的存在性

在本文中，我们研究了Banach空间中一阶脉冲半线性泛函微分包含解的存在性。利用著名的多值收缩的Covitz和Nadler不动点定理可以获得存在的充分条件。