JournalszaaVol. 34, No. 4pp. 459–475

Asymptotic Almost Periodicity to Some Evolution Equations

  • Rong-Nian Wang

    Shanghai Normal University, China

  • Qiao-Min Xiang

    South China University of Technology, Guangzhou, Guangdong, China

  • Yong Zhou

    Xiangtan University, Xiangtan, Hunan, China
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Abstract

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 semi linear 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.

Cite this article

Rong-Nian Wang, Qiao-Min Xiang, Yong Zhou, Asymptotic Almost Periodicity to Some Evolution Equations. Z. Anal. Anwend. 34 (2015), no. 4, pp. 459–475

DOI 10.4171/ZAA/1549