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Ergodicity and Its Applications ──Part One: Basic Properties

ZHANG Chuan-yi (Department of Mathematics, Harbin Institute of Technology Harbin 150001, China)  
We find that the ergodicity plays an important part in the averaging method to some nonlinear differential equations. We investigate some properties of an ergodic function and give the explicit expression of an inequality for ergodic functions.
【Fund】: NSFs of Heilongjiang Province and HIT;; the State Education Ministry for Chinese students studying abroad;; Heilongjiang Postd
【CateGory Index】: O177
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