Abstract and Applied Analysis
Volume 5 (2000), Issue 1, Pages 33-46
doi:10.1155/S1085337500000191

Attractors of multivalued semiflows generated by differential inclusions and their approximations

Alexei V. Kapustian1 and José Valero2

1Kiev University Taras Shevchenko, Department of Mechanics and Mathematics, Vladimirskaya, Kiev 60, Ukraine
2Universidad Cardenal Herrera, C/Comisario, 3, (Alicante), Elche 03203, Spain

Abstract

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.