Attractors of multivalued semiflows generated by differential inclusions and their approximations

We prove the existence of global compact attractors for differential inclusions and obtain some results concerning the continuity and upper semicontinuity of the attractors for approximating and perturbed inclusions. Applications are given to a model of regional economic growth.

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Bibliographic Details
Main Authors: Alexei V. Kapustian, José Valero
Format: Article
Language:English
Published: Wiley 2000-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337500000191
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author Alexei V. Kapustian
José Valero
author_facet Alexei V. Kapustian
José Valero
author_sort Alexei V. Kapustian
collection DOAJ
description We prove the existence of global compact attractors for differential inclusions and obtain some results concerning the continuity and upper semicontinuity of the attractors for approximating and perturbed inclusions. Applications are given to a model of regional economic growth.
format Article
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issn 1085-3375
1687-0409
language English
publishDate 2000-01-01
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series Abstract and Applied Analysis
spelling doaj-art-9ceeefd63e1847439174b385b1aeb8f02025-08-20T02:20:18ZengWileyAbstract and Applied Analysis1085-33751687-04092000-01-0151334610.1155/S1085337500000191Attractors of multivalued semiflows generated by differential inclusions and their approximationsAlexei V. Kapustian0José Valero1Kiev University Taras Shevchenko, Department of Mechanics and Mathematics, Vladimirskaya, Kiev 60, UkraineUniversidad Cardenal Herrera, C/Comisario, 3, (Alicante), Elche 03203, SpainWe prove the existence of global compact attractors for differential inclusions and obtain some results concerning the continuity and upper semicontinuity of the attractors for approximating and perturbed inclusions. Applications are given to a model of regional economic growth.http://dx.doi.org/10.1155/S1085337500000191
spellingShingle Alexei V. Kapustian
José Valero
Attractors of multivalued semiflows generated by differential inclusions and their approximations
Abstract and Applied Analysis
title Attractors of multivalued semiflows generated by differential inclusions and their approximations
title_full Attractors of multivalued semiflows generated by differential inclusions and their approximations
title_fullStr Attractors of multivalued semiflows generated by differential inclusions and their approximations
title_full_unstemmed Attractors of multivalued semiflows generated by differential inclusions and their approximations
title_short Attractors of multivalued semiflows generated by differential inclusions and their approximations
title_sort attractors of multivalued semiflows generated by differential inclusions and their approximations
url http://dx.doi.org/10.1155/S1085337500000191
work_keys_str_mv AT alexeivkapustian attractorsofmultivaluedsemiflowsgeneratedbydifferentialinclusionsandtheirapproximations
AT josevalero attractorsofmultivaluedsemiflowsgeneratedbydifferentialinclusionsandtheirapproximations