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

Tomás Caraballo | Zendy; Peter E. Kloeden | Zendy; Pedro Marín-Rubio | Zendy

Open Access

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

Author(s) -

Tomás Caraballo,

Peter E. Kloeden,

Pedro Marín-Rubio

Publication year - 2007

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2007.19.177

Subject(s) - attractor , mathematics , convergence (economics) , delay differential equation , logistic function , type (biology) , mathematical analysis , scheme (mathematics) , differential equation , statistics , ecology , economic growth , economics , biology

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.

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