Pseudo-Almost Periodic and Pseudo-Almost Automorphic Solutions to Some Evolution Equations Involving Theoretical Measure Theory

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...

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Autores principales:	Diagana,Toka, Ezzinbi,Khalil, Miraoui,Mohsen
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2014
Materias:	Evolution family exponential dichotomy Acquistapace-Terreni conditions pseudo-almost periodic pseudo-almost automorphic evolution equation nonautonomous equation doubly-weighted pseudo-almost periodic doubly-weighted pseudo-almost automorphy <img border=0 width=50 height=20 src="http:/fbpe/img/cubo/v16n2/art01-uv.jpg">-pseudo-almost periodicity <img border=0 width=50 height=20 src="http:/fbpe/img/cubo/v16n2/art01-uv.jpg">-pseudo-almost automorphy neutral systems positive measure
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000200001
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spelling	oai:scielo:S0719-064620140002000012018-10-08Pseudo-Almost Periodic and Pseudo-Almost Automorphic Solutions to Some Evolution Equations Involving Theoretical Measure TheoryDiagana,TokaEzzinbi,KhalilMiraoui,Mohsen Evolution family exponential dichotomy Acquistapace-Terreni conditions pseudo-almost periodic pseudo-almost automorphic evolution equation nonautonomous equation doubly-weighted pseudo-almost periodic doubly-weighted pseudo-almost automorphy <img border=0 width=50 height=20 src="http:/fbpe/img/cubo/v16n2/art01-uv.jpg">-pseudo-almost periodicity <img border=0 width=50 height=20 src="http:/fbpe/img/cubo/v16n2/art01-uv.jpg">-pseudo-almost automorphy neutral systems positive measure 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 <img border=0 width=50 height=20 src="http:/fbpe/img/cubo/v16n2/art01-uv.jpg">- pseudo almost periodic (respectively, <img border=0 width=50 height=20 src="http:/fbpe/img/cubo/v16n2/art01-uv.jpg">-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.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.16 n.2 20142014-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000200001en10.4067/S0719-06462014000200001
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Evolution family exponential dichotomy Acquistapace-Terreni conditions pseudo-almost periodic pseudo-almost automorphic evolution equation nonautonomous equation doubly-weighted pseudo-almost periodic doubly-weighted pseudo-almost automorphy <img border=0 width=50 height=20 src="http:/fbpe/img/cubo/v16n2/art01-uv.jpg">-pseudo-almost periodicity <img border=0 width=50 height=20 src="http:/fbpe/img/cubo/v16n2/art01-uv.jpg">-pseudo-almost automorphy neutral systems positive measure
spellingShingle	Evolution family exponential dichotomy Acquistapace-Terreni conditions pseudo-almost periodic pseudo-almost automorphic evolution equation nonautonomous equation doubly-weighted pseudo-almost periodic doubly-weighted pseudo-almost automorphy <img border=0 width=50 height=20 src="http:/fbpe/img/cubo/v16n2/art01-uv.jpg">-pseudo-almost periodicity <img border=0 width=50 height=20 src="http:/fbpe/img/cubo/v16n2/art01-uv.jpg">-pseudo-almost automorphy neutral systems positive measure Diagana,Toka Ezzinbi,Khalil Miraoui,Mohsen Pseudo-Almost Periodic and Pseudo-Almost Automorphic Solutions to Some Evolution Equations Involving Theoretical Measure Theory
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 <img border=0 width=50 height=20 src="http:/fbpe/img/cubo/v16n2/art01-uv.jpg">- pseudo almost periodic (respectively, <img border=0 width=50 height=20 src="http:/fbpe/img/cubo/v16n2/art01-uv.jpg">-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.
author	Diagana,Toka Ezzinbi,Khalil Miraoui,Mohsen
author_facet	Diagana,Toka Ezzinbi,Khalil Miraoui,Mohsen
author_sort	Diagana,Toka
title	Pseudo-Almost Periodic and Pseudo-Almost Automorphic Solutions to Some Evolution Equations Involving Theoretical Measure Theory
title_short	Pseudo-Almost Periodic and Pseudo-Almost Automorphic Solutions to Some Evolution Equations Involving Theoretical Measure Theory
title_full	Pseudo-Almost Periodic and Pseudo-Almost Automorphic Solutions to Some Evolution Equations Involving Theoretical Measure Theory
title_fullStr	Pseudo-Almost Periodic and Pseudo-Almost Automorphic Solutions to Some Evolution Equations Involving Theoretical Measure Theory
title_full_unstemmed	Pseudo-Almost Periodic and Pseudo-Almost Automorphic Solutions to Some Evolution Equations Involving Theoretical Measure Theory
title_sort	pseudo-almost periodic and pseudo-almost automorphic solutions to some evolution equations involving theoretical measure theory
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2014
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000200001
work_keys_str_mv	AT diaganatoka pseudoalmostperiodicandpseudoalmostautomorphicsolutionstosomeevolutionequationsinvolvingtheoreticalmeasuretheory AT ezzinbikhalil pseudoalmostperiodicandpseudoalmostautomorphicsolutionstosomeevolutionequationsinvolvingtheoreticalmeasuretheory AT miraouimohsen pseudoalmostperiodicandpseudoalmostautomorphicsolutionstosomeevolutionequationsinvolvingtheoreticalmeasuretheory
_version_	1714206788148002816

Pseudo-Almost Periodic and Pseudo-Almost Automorphic Solutions to Some Evolution Equations Involving Theoretical Measure Theory

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