Object's details: Weighted pseudo almost automorphic solutions to nonautonomous semilinear evolution equations with delay and $S^{p}$-weighted pseudo almost automorphic coefficients

Provider:Akademicka Platforma Czasopism

Description

Title:
Weighted pseudo almost automorphic solutions to nonautonomous semilinear evolution equations with delay and $S^{p}$-weighted pseudo almost automorphic coefficients
Creator:
Chang, Yong-Kui;
Zhang, Rui;
N'Guérékata, G. M.
Description:
By some new properties of Stepanov-like weighted pseudo almost automorphic functions established by Chang, Zhang and N'Guérékata recently, we shall deal with weighted pseudo almost automorphic solutions to the nonautonomous semilinear evolution equations with a constant delay: $u'(t)=A(t)u(t)+f(t,u(t-h))$, $ t\in\mathbb{R}$ in a Banach space $\mathbb{X}$, where $A(t),t\in\mathbb{R}$ generates an exponentially stable evolution family $\{U(t,s)\}$ and $f \colon\mathbb{R}\times\mathbb{X} \rightarrow \mathbb{X}$ is a $\S^{p}$-weighted pseudo almost automorphic function satisfying some suitable conditions. We obtain our main results by the Leray-Shauder Alternative theorem.
Object availability:
free access
Rights:
Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
Date:
2016.04.12
Type:
info:eu-repo/semantics/article;
info:eu-repo/semantics/publishedVersion;
Recenzowany artykuł
Language:
English
Source:
Topological Methods in Nonlinear Analysis; Vol 43, No 1 (March 2014); 69 - 88;
1230-3429
Publisher:
Nicolaus Copernicus University in Toruń
Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.005/8119
Subject:
Stepanov-like weighted pseudo almost automorphic;
nonautonomous semilinear evolution equations;
delay;
34K14;
60H10;
35B15;
34F05
Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.005
Data provider:
Akademicka Platforma Czasopism

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Object's details: Weighted pseudo almost automorphic solutions to nonautonomous semilinear evolution equations with delay and $S^{p}$-weighted pseudo almost automorphic coefficients

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