Pseudo-almost periodic and pseudo-almost automorphic solutions to some evolution equations involving theoretical measure theory

Diagana, Toka; Ezzinbi, Khalil; Miraoui, Mohsen

dc.creator	Diagana, Toka
dc.creator	Ezzinbi, Khalil
dc.creator	Miraoui, Mohsen
dc.date	2014-06-01
dc.identifier	https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1274
dc.identifier	10.4067/S0719-06462014000200001
dc.description	Motivated by the recent works by the first and the second named authors, in this paper we introduce the notion of doubly-weighted pseudo-almost periodicity (respectively, doubly-weighted pseudo-almost automorphy) using theoretical measure theory. Basic properties of these new spaces are studied. To illustrate our work, we study, under Acquistapace–Terreni conditions and exponential dichotomy, the existence of (μ,ν)- pseudo almost periodic (respectively, (μ,ν)-pseudo almost automorphic) solutions to some nonautonomous partial evolution equations in Banach spaces. A few illustrative examples will be discussed at the end of the paper.	en-US
dc.format	application/pdf
dc.language	eng
dc.publisher	Universidad de La Frontera. Temuco, Chile.	en-US
dc.relation	https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1274/1126
dc.rights	Copyright (c) 2018 CUBO, a mathematical journal	en-US
dc.source	CUBO, A Mathematical Journal; Vol. 16 No. 2 (2014): CUBO, A Mathematical Journal; 01-31	en-US
dc.source	CUBO, A Mathematical Journal; Vol. 16 Núm. 2 (2014): CUBO, A Mathematical Journal; 01-31	es-ES
dc.source	0719-0646
dc.source	0716-7776
dc.subject	Evolution family	en-US
dc.subject	exponential dichotomy	en-US
dc.subject	Acquistapace–Terreni conditions	en-US
dc.subject	pseudo-almost periodic	en-US
dc.subject	pseudo-almost automorphic	en-US
dc.subject	evolution equation	en-US
dc.subject	nonautonomous equation	en-US
dc.subject	doubly-weighted pseudo-almost periodic	en-US
dc.subject	doubly-weighted pseudo-almost automorphy	en-US
dc.subject	(μ, ν)-pseudo-almost periodicity	en-US
dc.subject	(μ, ν)-pseudo-almost automorphy	en-US
dc.subject	neutral systems	en-US
dc.subject	positive measure	en-US
dc.title	Pseudo-almost periodic and pseudo-almost automorphic solutions to some evolution equations involving theoretical measure theory	en-US
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion

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Pseudo-almost periodic and pseudo-almost automorphic solutions to some evolution equations involving theoretical measure theory

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