| dc.creator | Békollè, David | |
| dc.creator | Ezzinbi, Khalil | |
| dc.creator | Fatajou, Samir | |
| dc.creator | Danga, Duplex Elvis Houpa | |
| dc.creator | Béssémè, Fritz Mbounja | |
| dc.date | 2021-04-14 | |
| dc.date.accessioned | 2021-08-17T20:35:26Z | |
| dc.date.available | 2021-08-17T20:35:26Z | |
| dc.identifier | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2598 | |
| dc.identifier | 10.4067/S0719-06462021000100063 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/174244 | |
| dc.description | In this paper we give sufficient conditions on \(k\in L^1(\mathbb{R})\) and the positive measures \(\mu\), \(\nu\) such that the doubly-measure pseudo-almost periodic (respectively, doubly-measure pseudo-almost automorphic) function spaces are invariant by the convolution product \(\zeta f=k\ast f\). We provide an appropriate example to illustrate our convolution results. As a consequence, we study under Acquistapace-Terreni conditions and exponential dichotomy, the existence and uniqueness of \(\left( \mu,\nu\right)\)- pseudo-almost periodic (respectively, \(\left( \mu,\nu\right)\)- pseudo-almost automorphic) solutions to some nonautonomous partial evolution equations in Banach spaces like neutral systems. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
| dc.relation | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2598/2052 | |
| dc.rights | Copyright (c) 2021 D. Békoll`e et al. | en-US |
| dc.rights | https://creativecommons.org/licenses/by-nc/4.0/ | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 23 No. 1 (2021); 63–85 | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 23 Núm. 1 (2021); 63–85 | es-ES |
| dc.source | 0719-0646 | |
| dc.source | 0716-7776 | |
| dc.subject | Measure theory | en-US |
| dc.subject | \(\mu\), \(\nu\)-ergodic | en-US |
| dc.subject | \(\mu\), \(\nu\)-pseudo almost periodic and automorphic functions | en-US |
| dc.subject | Evolution families | en-US |
| dc.subject | nonautonomous equations | en-US |
| dc.subject | neutral systems | en-US |
| dc.title | Convolutions in \((\mu,\nu)\)-pseudo-almost periodic and \((\mu,\nu)\)-pseudo-almost automorphic function spaces and applications to solve integral equations | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
