Sobre equações integrais de evolução e aplicações

Motivated by the huge success of the applications of the Evolutionary Integral Equations in many areas of engineering and the fact that the literature has several open problems, in this work we aimed to study the theory involving abstract Volterra equations as well as issues related to a Cauchy frac...

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Detalles Bibliográficos
Autor: Santos, Jucileide dos
Tipo de recurso: tesis de maestría
Estado:Versión publicada
Fecha de publicación:2019
País:Brasil
Institución:Universidade Federal de Sergipe (UFS)
Repositorio:Repositório Institucional da UFS
Idioma:portugués
OAI Identifier:oai:oai:ri.ufs.br:repo_01:riufs/11950
Acceso en línea:http://ri.ufs.br/jspui/handle/riufs/11950
Access Level:acceso abierto
Palabra clave:Matemática
Equações integrais
Equações de Volterra
Funções especiais
Boa-posição global
Soluções autossimilares
Volterra equations
Global well-posedness
Self-similar solutions
CIENCIAS EXATAS E DA TERRA::MATEMATICA
Descripción
Sumario:Motivated by the huge success of the applications of the Evolutionary Integral Equations in many areas of engineering and the fact that the literature has several open problems, in this work we aimed to study the theory involving abstract Volterra equations as well as issues related to a Cauchy fractional problem of order 0<α<1. In this last one we try to answer some questions about the global well-posedness and self-similarity of the solutions.