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Matematicheskie Zametki, 2011, Volume 90, Issue 2, Pages 183–198
DOI: https://doi.org/10.4213/mzm8788 (Mi mzm8788) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The Cauchy Problem for Certain Systems of Operator-Differential Equations of Arbitrary Order in Locally Convex Spaces

N. A. Aksenov

Orel State University
Full-text PDF (542 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm8788
Abstract: We describe an analog of the Cauchy–Kovalevskaya sufficient conditions for the analytic solvability of the Cauchy problem for systems of operator-differential equations of arbitrary order in locally convex spaces; this analog is stated in terms of the order and type of the linear operator.
Keywords: Cauchy problem, operator-differential equation, Cauchy–Kovalevskaya sufficient conditions, locally convex space, linear operator, polycylinder, multiple power series, Cauchy–Hadamard formula.
Received: 25.11.2010
English version:
Mathematical Notes, 2011, Volume 90, Issue 2, Pages 175–188
DOI: https://doi.org/10.1134/S0001434611070182
Bibliographic databases:
Document Type: Article
UDC: 517.55
Language: Russian
Citation: N. A. Aksenov, “The Cauchy Problem for Certain Systems of Operator-Differential Equations of Arbitrary Order in Locally Convex Spaces”, Mat. Zametki, 90:2 (2011), 183–198; Math. Notes, 90:2 (2011), 175–188
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm8788
  • https://doi.org/10.4213/mzm8788
  • https://www.mathnet.ru/eng/mzm/v90/i2/p183
    • This publication is cited in the following 2 articles:
    1. Umarov S., “Pseudo-Differential Operators With Meromorphic Symbols and Systems of Complex Differential Equations”, Complex Var. Elliptic Equ., 60:6 (2015), 829–863  crossref  mathscinet  zmath  isi  elib  scopus
    2. Aksënov N.A., “Analiticheskaya razreshimost kompleksnoi zadachi Koshi dlya nekotorykh sistem differentsialno-operatornykh uravnenii s peremennymi koeffitsientami”, Uchenye zapiski Orlovskogo gosudarstvennogo universiteta. Seriya: Estestvennye, tekhnicheskie i meditsinskie nauki, 2013, no. 6, 25–32  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    References:81
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