Asymptotic behaviour of nonautonomous difference inclusions

摘要

Nonautonomous difference inclusions are formulated as difference inclusion cocycles, which generalize set-valued semigroups corresponding to autonomous difference inclusions, and the existence of a difference inclusion cocycle attractor is established under the assumption of upper semi-continuity of the cocycle mappings if the difference inclusion cocycle has an absorbing set. Several illustrative examples are provided. (C) 1998 Elsevier Science B.V. All rights reserved. [References: 11]