Invariant measures for multivalued semigroups

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:455

Article

Gentile Moussa, Claudia B.¹ 

[1] Univ Fed Sao Carlos, Dept Matemat, Ctr Ciencias Exatas & Tecnol, Caixa Postal 676, BR-13565905 Sao Carlos, SP, Brazil

关键词: Invariant measures;    Multivalued semigroups;    Generalized semiflows;    Attractors;    Ergodic theorem;    Time averages;   

DOI  :  10.1016/j.jmaa.2017.06.032

来源: Elsevier

【 摘 要 】

In this work we extend the concept of an invariant measure for a multivalued semigroup and, when it has a global attractor, we give different, but equivalent, definitions for such a measure. As a consequence we can apply the Birkhoff Ergodic Theorem to conclude that time averages converge almost everywhere to the spatial average. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free