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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2004 Volume 195, Number 1, Pages 21–36 (Mi sm791)

This article is cited in 4 papers

Averaging of parabolic inclusions

V. S. Klimov

P. G. Demidov Yaroslavl State University

Abstract: A version of Bogolyubov's first theorem is established for infinite-dimensional parabolic inclusions. Sufficient conditions for the asymptotic stability of the trivial solution of a parabolic inclusion with non-stationary homogeneous principal part are stated.

UDC: 517.958

MSC: Primary 34G25; Secondary 34C29, 35B40

Received: 26.11.2002

DOI: 10.4213/sm791


 English version:
Sbornik: Mathematics, 2004, 195:1, 19–34

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© Steklov Math. Inst. of RAS, 2026