一类演化方程的渐近概周期性

Pub Date : 2015-10-29 DOI:10.4171/ZAA/1549

Rongnian Wang, Qiaomin Xiang, Yong Zhou

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引用次数: 0

摘要

本文引入了一类渐近概周期函数的半lipschitz连续性的新概念，并在适当的假设下，建立了一类半线性抽象演化方程渐近概周期温和解的存在性定理。正如人们所期望的那样，这里提出的结果将概括和改进该领域最近的一些结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Asymptotic Almost Periodicity to Some Evolution Equations

In this paper, we introduce a new notion of semi-Lipschitz continuity for the class of asymptotically almost periodic functions and establish new existence theorems for asymptotically almost periodic mild solutions to some semilinear abstract evolution equations upon making some suitable assumptions. As one would expect, the results presented here would generalize and improve some recent results in this area.

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