Pseudo -Asymptotically Bloch Type Periodicity with Applications to Some Evolution Equations

  • Yong-Kui Chang

    Xidian University, Xi'an, China
  • Yanyan Wei

    Xidian University, Xi'an, China
Pseudo $S$-Asymptotically Bloch Type Periodicity with Applications to Some Evolution Equations cover

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Abstract

This paper is mainly focused upon the pseudo -asymptotically Bloch type periodicity and its applications. Firstly, a new notion of pseudo -asymptotically Bloch type periodic functions is introduced, and some fundamental properties on pseudo -asymptotically Bloch type periodic functions are established. Then, the notion and properties of weighted pseudo -asymptotically Bloch type periodic functions are similarly presented. Finally, the obtained results are applied to investigate the existence and uniqueness of pseudo -asymptotically Bloch type periodic mild solutions for some semi-linear evolution equations in Banach spaces.

Cite this article

Yong-Kui Chang, Yanyan Wei, Pseudo -Asymptotically Bloch Type Periodicity with Applications to Some Evolution Equations. Z. Anal. Anwend. 40 (2021), no. 1, pp. 33–50

DOI 10.4171/ZAA/1671