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Determining modes and almost periodic integrals for cocycles. / Ermakov, I. V.; Kalinin, Yu N.; Reitmann, V.

In: Differential Equations, Vol. 47, No. 13, 12.2011, p. 1837-1852.

Research output: Contribution to journal › Article › peer-review

Harvard

Ermakov, IV, Kalinin, YN & Reitmann, V 2011, 'Determining modes and almost periodic integrals for cocycles', Differential Equations, vol. 47, no. 13, pp. 1837-1852. https://doi.org/10.1134/S0012266111130015

APA

Ermakov, I. V., Kalinin, Y. N., & Reitmann, V. (2011). Determining modes and almost periodic integrals for cocycles. Differential Equations, 47(13), 1837-1852. https://doi.org/10.1134/S0012266111130015

Vancouver

Ermakov IV, Kalinin YN, Reitmann V. Determining modes and almost periodic integrals for cocycles. Differential Equations. 2011 Dec;47(13):1837-1852. https://doi.org/10.1134/S0012266111130015

Author

Ermakov, I. V. ; Kalinin, Yu N. ; Reitmann, V. / Determining modes and almost periodic integrals for cocycles. In: Differential Equations. 2011 ; Vol. 47, No. 13. pp. 1837-1852.

BibTeX

@article{f797307d0e0845f2a1e071d5fe41d73b,
title = "Determining modes and almost periodic integrals for cocycles",
abstract = "Cocycles of general form on an arbitrary metric space are considered. The notion of determining modes for cocycles on a Hilbert space is introduced, and a theorem on the existence of finitely many determining modes for such cocycles is proved. The existence of a B-pullback attractor in the problem of microwave heating of a material is proved. The notion of almost periodic integral for a cocycle is introduced, and the existence of such an integral for a certain class of cocycles is proved.",
author = "Ermakov, {I. V.} and Kalinin, {Yu N.} and V. Reitmann",
note = "Funding Information: The research was supported by the German–Russian Interdisciplinary Science Center (G-RISC) and by Deutscher Akademischer Austausch Dienst (DAAD). Copyright: Copyright 2012 Elsevier B.V., All rights reserved.",
year = "2011",
month = dec,
doi = "10.1134/S0012266111130015",
language = "English",
volume = "47",
pages = "1837--1852",
journal = "Differential Equations",
issn = "0012-2661",
publisher = "Pleiades Publishing",
number = "13",

}

RIS

TY - JOUR

T1 - Determining modes and almost periodic integrals for cocycles

AU - Ermakov, I. V.

AU - Kalinin, Yu N.

AU - Reitmann, V.

N1 - Funding Information: The research was supported by the German–Russian Interdisciplinary Science Center (G-RISC) and by Deutscher Akademischer Austausch Dienst (DAAD). Copyright: Copyright 2012 Elsevier B.V., All rights reserved.

PY - 2011/12

Y1 - 2011/12

N2 - Cocycles of general form on an arbitrary metric space are considered. The notion of determining modes for cocycles on a Hilbert space is introduced, and a theorem on the existence of finitely many determining modes for such cocycles is proved. The existence of a B-pullback attractor in the problem of microwave heating of a material is proved. The notion of almost periodic integral for a cocycle is introduced, and the existence of such an integral for a certain class of cocycles is proved.

AB - Cocycles of general form on an arbitrary metric space are considered. The notion of determining modes for cocycles on a Hilbert space is introduced, and a theorem on the existence of finitely many determining modes for such cocycles is proved. The existence of a B-pullback attractor in the problem of microwave heating of a material is proved. The notion of almost periodic integral for a cocycle is introduced, and the existence of such an integral for a certain class of cocycles is proved.

UR - http://www.scopus.com/inward/record.url?scp=84856887648&partnerID=8YFLogxK

U2 - 10.1134/S0012266111130015

DO - 10.1134/S0012266111130015

M3 - Article

AN - SCOPUS:84856887648

VL - 47

SP - 1837

EP - 1852

JO - Differential Equations

JF - Differential Equations

SN - 0012-2661

IS - 13

ER -

ID: 73406980