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

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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