Attractors of Differential Inclusions and Their Approximation

Author: Kapustyan O.V.  

Publisher: Springer Publishing Company

ISSN: 0041-5995

Source: Ukrainian Mathematical Journal, Vol.52, Iss.7, 2000-07, pp. : 1118-1123

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Abstract

We investigate the properties of solutions of differential inclusions in a Banach space. We prove a theorem on the existence of a global attractor for a multivalued semidynamical system generated by these solutions and a theorem on the approximation of an attractor in the Hausdorff metric.