Numerical and finite delay approximations of attractors for logistic differential-integral equations with infinite delay

The upper semi-continuous convergence of approximate attractors for an infinite delay differential equation of logistic type is proved, first for the associated truncated delay equation with finite delay and then for a numerical scheme applied to the truncated equation.

Detalles Bibliográficos
Autores: Caraballo Garrido, Tomás, Kloeden, Peter E., Marín Rubio, Pedro
Tipo de recurso: artículo
Fecha de publicación:2007
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/23685
Acceso en línea:http://hdl.handle.net/11441/23685
https://doi.org/10.3934/dcds.2007.19.177
Access Level:acceso abierto
Palabra clave:Attractors for delay differential equations
Numerical and theoretical approximations of solutions
Descripción
Sumario:The upper semi-continuous convergence of approximate attractors for an infinite delay differential equation of logistic type is proved, first for the associated truncated delay equation with finite delay and then for a numerical scheme applied to the truncated equation.