In this paper, we establish sufficient conditions on the existence of mild solutions for semilinear impulsive differential inclusions by using Glicksberg-Ky Fan fixed point theorem with weak topology technique. We do not require the compactness of the evolution operator generated by the linear part and of the multivalued nonlinear term. An example is also presented.

中文翻译：

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无紧度的半线性脉冲微分包含的存在性

在本文中，我们利用弱拓扑技术的Glicksberg-Ky Fan不动点定理，为半线性脉冲微分包含的温和解的存在建立了充分的条件。我们不需要线性部分生成的演化算子和多值非线性项的紧凑性。还提供了一个示例。