Abstract

We prove several important results concerning existence and uniqueness of pseudo almost automorphic (paa) solutions with measure for integro-differential equations with reflection. We use the properties of almost automorphic functions with measure and the Banach fixed point theorem, and we discuss two linear and nonlinear cases. We conclude with an example and some observations.

中文翻译：

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带反射的积分微分方程的存在性结果

摘要

我们证明了关于具有反射的积分微分方程的度量的伪几乎自守 (paa) 解的存在性和唯一性的几个重要结果。我们使用带测度的几乎自守函数的性质和巴​​拿赫不动点定理，讨论线性和非线性两种情况。我们以一个例子和一些观察结束。