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Zbl 0960.37002
Zhang, Chuanyi
Ergodicity and its applications. I: Basic properties. (English)
[J] Acta Anal. Funct. Appl. 1, No.1, 28-39 (1999). ISSN 1009-1327

This paper deals with the role of ergodicity in the averaging method for nonlinear differential equations. The author is mainly interested in the qualitative aspect for some perturbation problem. He investigates some properties of an ergodic function and gives the explicit expression of an inequality for this ergodic function.
[Messoud Efendiev (Berlin)]
MSC 2000:
*37A25 Ergodicity, mixing, rates of mixing
37C75 Stability theory
34C29 Averaging method

Keywords: ergodicity; ergodic function; perturbation; averaging

Cited in: Zbl 0973.37005

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