Averaging in parabolic systems subjected to weakly dependent random effects. $L_2$-approach

The first initial-boundary problem for a parabolic equation with a small parameter under external action described by some random process satisfying an arbitrary condition of weak dependence is considered. Averaging of the coefficients over a time variable is carried out. The existence of a generali...

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Datum:1991
Hauptverfasser: Bondarev , В. V., Бондарев , Б. В.
Format: Artikel
Sprache:Russisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1991
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/9609
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal