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Exponential trichotomy and a class of ergodic solutions of differential equations with ergodic perturbations

โœ Scribed by Jialin Hong; R. Obaya; A.S. Gil


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
342 KB
Volume
12
Category
Article
ISSN
0893-9659

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โœฆ Synopsis


The existence of a class of ergodic solutions of some differential equations is investigated by using exponential trichotomy. An application to the Hill equation with ergodic forcing function is given. (~) 1998 Elsevier Science Ltd. All rights reserved.


๐Ÿ“œ SIMILAR VOLUMES


Existence of a class of ergodic solution
โœ Jialin Hong; R. Obaya; A. Sanz ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 144 KB

In this note we prove that the property of exponential trichotomy is necessary for the presence of ergodic solutions of linear differential and difference equations with ergodic perturbations.