Pseudo \(S\)-asymptotically Bloch type periodicity with applications to some evolution equations
type: Item
instance of: scholarly article
title: Pseudo \(S\)-asymptotically Bloch type periodicity with applications to some evolution equations
zbMATH Open document ID: 1472.34116
DOI: 10.4171/ZAA/1671
author: Yong Kui Chang
author: Yanyan Wei
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 2021-07-02T00:00:00Z
review text: Summary: This paper is mainly focused upon the pseudo \(S\)-asymptotically Bloch type periodicity and its applications. Firstly, a new notion of pseudo \(S\)-asymptotically Bloch type periodic functions is introduced, and some fundamental properties on pseudo \(S\)-asymptotically Bloch type periodic functions are established. Then, the notion and properties of weighted pseudo \(S\)-asymptotically Bloch type periodic functions are similarly presented. Finally, the obtained results are applied to investigate the existence and uniqueness of pseudo \(S\)-asymptotically Bloch type periodic mild solutions for some semi-linear evolution equations in Banach spaces.
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 28A99
zbMATH DE Number: 7367445
zbMATH Keywords: pseudo \(S\)-asymptotically Bloch type periodic functions
zbMATH Keywords: pseudo \(S\)-asymptotically \(\omega \)-anti-periodic functions
zbMATH Keywords: evolution equations
MaRDI profile type: Publication
cites work: Weighted pseudo almost automorphic functions and applications to abstract differential equations
cites work: Existence of anti-periodic mild solutions for a class of semilinear fractional differential equations
cites work: Uniform exponential stability and applications to bounded solutions of integro-differential equations in Banach spaces
cites work: \(S\)-asymptotically Bloch type periodic solutions to some semi-linear evolution equations in Banach spaces
cites work: Asymptotic behaviour of the solutions of fractional integro-differential equations and some time discretizations
cites work: Almost automorphic solutions to a class of semilinear fractional differential equations
cites work: Existence of \(S\)-asymptotically \(\omega \)-periodic solutions for fractional order functional integro-differential equations with infinite delay
cites work: Pseudo S-asymptotically ω-periodic solution for a differential equation with piecewise constant argument in a Banach space
cites work: Massera-type theorem and asymptotically periodic Logistic equations
cites work: Bloch-periodic functions and some applications
cites work: Weighted \(S^p\)-pseudo \(S\)-asymptotic periodicity and applications to Volterra integral equations
cites work: Asymptotically periodic solutions of neutral partial differential equations with infinite delay
cites work: Regularity of mild solutions for a class of fractional order differential equations
cites work: Mechanical Behavior of Materials
cites work: On S‐asymptotically ω‐periodic and Bloch periodic mild solutions to some fractional differential equations in abstract spaces
cites work: On \(S\)-asymptotically \(\omega \)-periodic functions and applications
cites work: A note on \(S\)-asymptotically periodic functions
cites work: ON PSEUDO -ASYMPTOTICALLY PERIODIC FUNCTIONS
full work available at URL: https://doi.org/10.4171/zaa/1671
OpenAlex ID: W3123444884
description: scientific article; zbMATH DE number 7367445