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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 1, Pages 148–164 (Mi smj2295)  
This article is cited in 2 scientific papers (total in 2 papers)

Degenerate parabolic systems of vector order Kolmogorov-type equations

V. A. Litovchenkoa, E. B. Nastasiĭb

a Chernivtsi National University named after Yuriy Fedkovych, Chernovtsi, Ukraine
b Bukovina State Academy of Finance and Economic, Chernovtsi, Ukraine
Full-text PDF (349 kB) Citations (2)
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Abstract: We define a new class of degenerate $\overrightarrow{2b}$-parabolic systems of Kolmogorov-type equations with coefficients depending only on time. We also construct a fundamental matrix of solutions to a Cauchy problem for systems of this class and study its main properties.
Keywords: degenerate $\overrightarrow{2b}$-parabolic systems, matrizer, fundamental matrix of solutions to a Cauchy problem.
Received: 15.02.2011
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 1, Pages 119–133
DOI: https://doi.org/10.1134/S0037446612010107
Bibliographic databases:
Document Type: Article
UDC: 517.956.4
Language: Russian
Citation: V. A. Litovchenko, E. B. Nastasiǐ, “Degenerate parabolic systems of vector order Kolmogorov-type equations”, Sibirsk. Mat. Zh., 53:1 (2012), 148–164; Siberian Math. J., 53:1 (2012), 119–133
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    Full-text PDF :110
    References:74
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