Well-posedness and qualitative properties for abstract time-difference equations
In this thesis we introduce the notions of the stable Levy process and the scaled Wright function within the discrete setting. Using these notions, we prove a subordination principle which will be used to investigate different classes of discrete time fractional difference equations. In addition, we...
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| Tipo de documento: | tese |
| Estado: | Versión actualizada desde la publicación |
| Data de publicação: | 2021 |
| País: | Colombia |
| Recursos: | Universidad del Norte |
| Repositório: | Repositorio Uninorte |
| Idioma: | inglês |
| OAI Identifier: | oai:manglar.uninorte.edu.co:10584/10075 |
| Acesso em linha: | http://hdl.handle.net/10584/10075 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Ecuaciones diferenciales Ecuaciones diferenciales fraccionarias |
| Resumo: | In this thesis we introduce the notions of the stable Levy process and the scaled Wright function within the discrete setting. Using these notions, we prove a subordination principle which will be used to investigate different classes of discrete time fractional difference equations. In addition, we introduce the Banach space of (N, λ)-periodic vector-valued sequences. Moreover, we show the existence and uniqueness of (N, λ)-periodic solutions to a class of abstract Volterra difference equations as well as of fractional difference equations. |
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