A nonlinear age-dependent model with spatial diffusion

The main goal of this paper is to study the existence and uniqueness of positive solution for a nonlinear age-dependent equation with spatial diffusion. For that, we mainly use properties of an eigenvalue problem related to the equation and the subsupersolution method. We justify that this method wo...

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Detalles Bibliográficos
Autores: Delgado Delgado, Manuel, Molina Becerra, Mónica, Suárez Fernández, Antonio
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2006
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/40182
Acceso en línea:http://hdl.handle.net/11441/40182
https://doi.org/10.1016/j.jmaa.2005.09.042
Access Level:acceso abierto
Palabra clave:Sub-supersolution method
non-local initial condition
logistic age-dependent
Descripción
Sumario:The main goal of this paper is to study the existence and uniqueness of positive solution for a nonlinear age-dependent equation with spatial diffusion. For that, we mainly use properties of an eigenvalue problem related to the equation and the subsupersolution method. We justify that this method works for this kind of equation, in which appears a potential blowing-up and a non-local initial condition.