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Matematicheskie Zametki, 2011, Volume 90, Issue 5, Pages 672–688
DOI: https://doi.org/10.4213/mzm3899 (Mi mzm3899) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Solvability of the Cauchy Problem for Linear Operator-Differential Equations with Variable Operator Coefficients

M. K. Balaev

Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
Full-text PDF (520 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm3899
Abstract: We study the Cauchy problem for linear operator-differential equations with unbounded, nondensely defined, variable operator coefficients in a Banach space. We single out new classes of evolution equations of first and second order for which the Cauchy problem is solvable.
Keywords: linear operator-differential equation, Cauchy problem, Banach space, semigroup, Hölder continuity, evolution equation.
Received: 09.07.2007
Revised: 15.10.2010
English version:
Mathematical Notes, 2011, Volume 90, Issue 5, Pages 651–665
DOI: https://doi.org/10.1134/S0001434611110046
Bibliographic databases:
Document Type: Article
UDC: 517.317
Language: Russian
Citation: M. K. Balaev, “Solvability of the Cauchy Problem for Linear Operator-Differential Equations with Variable Operator Coefficients”, Mat. Zametki, 90:5 (2011), 672–688; Math. Notes, 90:5 (2011), 651–665
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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