On the existence of almost automorphic generalized solutions to some generalized differential equations
This paper is devoted to study some regularity of almost automorphic and asymptotic almost automorphic generalized solution of the differential equation d dtu(t) = Au(t) + f(t), in the framework of the Colombeau algebras. Under certain assumptions about the second member we showed that the generali...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2022-12-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/63116 |
| Summary: | This paper is devoted to study some regularity of almost automorphic and asymptotic almost automorphic generalized solution of the differential equation d dtu(t) = Au(t) + f(t), in the framework of the Colombeau algebras. Under certain assumptions about the second member we showed that the generalized solution is an asmptotically almost automorphic in the sense of genaralized functions.
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| ISSN: | 0037-8712 2175-1188 |