Convolutions in (µ, ν)-pseudo-almost periodic and (µ, ν)-pseudo-almost automorphic function spaces and applications to solve integral equations
Abstract In this paper we give sufficient conditions on k ∈ L 1(ℝ) and the positive measures µ, ν such that the doubly-measure pseudo-almost periodic (respectively, doubly-measure pseudo- almost automorphic) function spaces are invariant by the con- volution pro...
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| Lenguaje: | English |
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Universidad de La Frontera. Departamento de Matemática y Estadística.
2021
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oai:scielo:S0719-064620210001000632021-05-11Convolutions in (µ, ν)-pseudo-almost periodic and (µ, ν)-pseudo-almost automorphic function spaces and applications to solve integral equationsBékollè,DavidEzzinbi,KhalilFatajou,SamirDanga,Duplex Elvis HoupaBéssémè,Fritz Mbounja Measure theory (µ, ν)-ergodic (µ, ν)-pseudo almost periodic and automorphic functions evolution families nonautonomous equations neutral systems. Abstract In this paper we give sufficient conditions on k ∈ L 1(ℝ) and the positive measures µ, ν such that the doubly-measure pseudo-almost periodic (respectively, doubly-measure pseudo- almost automorphic) function spaces are invariant by the con- volution product ζf = k ∗ f. We provide an appropriate example to illustrate our convolution results. As a conse- quence, we study under Acquistapace-Terreni conditions and exponential dichotomy, the existence and uniqueness of (µ, ν)- pseudo-almost periodic (respectively, (µ, ν)- pseudo-almost automorphic) solutions to some nonautonomous partial evolution equations in Banach spaces like neutral systems.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.23 n.1 20212021-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462021000100063en10.4067/S0719-06462021000100063 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
Measure theory (µ, ν)-ergodic (µ, ν)-pseudo almost periodic and automorphic functions evolution families nonautonomous equations neutral systems. |
| spellingShingle |
Measure theory (µ, ν)-ergodic (µ, ν)-pseudo almost periodic and automorphic functions evolution families nonautonomous equations neutral systems. Békollè,David Ezzinbi,Khalil Fatajou,Samir Danga,Duplex Elvis Houpa Béssémè,Fritz Mbounja Convolutions in (µ, ν)-pseudo-almost periodic and (µ, ν)-pseudo-almost automorphic function spaces and applications to solve integral equations |
| description |
Abstract In this paper we give sufficient conditions on k ∈ L 1(ℝ) and the positive measures µ, ν such that the doubly-measure pseudo-almost periodic (respectively, doubly-measure pseudo- almost automorphic) function spaces are invariant by the con- volution product ζf = k ∗ f. We provide an appropriate example to illustrate our convolution results. As a conse- quence, we study under Acquistapace-Terreni conditions and exponential dichotomy, the existence and uniqueness of (µ, ν)- pseudo-almost periodic (respectively, (µ, ν)- pseudo-almost automorphic) solutions to some nonautonomous partial evolution equations in Banach spaces like neutral systems. |
| author |
Békollè,David Ezzinbi,Khalil Fatajou,Samir Danga,Duplex Elvis Houpa Béssémè,Fritz Mbounja |
| author_facet |
Békollè,David Ezzinbi,Khalil Fatajou,Samir Danga,Duplex Elvis Houpa Béssémè,Fritz Mbounja |
| author_sort |
Békollè,David |
| title |
Convolutions in (µ, ν)-pseudo-almost periodic and (µ, ν)-pseudo-almost automorphic function spaces and applications to solve integral equations |
| title_short |
Convolutions in (µ, ν)-pseudo-almost periodic and (µ, ν)-pseudo-almost automorphic function spaces and applications to solve integral equations |
| title_full |
Convolutions in (µ, ν)-pseudo-almost periodic and (µ, ν)-pseudo-almost automorphic function spaces and applications to solve integral equations |
| title_fullStr |
Convolutions in (µ, ν)-pseudo-almost periodic and (µ, ν)-pseudo-almost automorphic function spaces and applications to solve integral equations |
| title_full_unstemmed |
Convolutions in (µ, ν)-pseudo-almost periodic and (µ, ν)-pseudo-almost automorphic function spaces and applications to solve integral equations |
| title_sort |
convolutions in (µ, ν)-pseudo-almost periodic and (µ, ν)-pseudo-almost automorphic function spaces and applications to solve integral equations |
| publisher |
Universidad de La Frontera. Departamento de Matemática y Estadística. |
| publishDate |
2021 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462021000100063 |
| work_keys_str_mv |
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