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Ufa Mathematical Journal, 2013, Volume 5, Issue 2, Pages 12–17
DOI: https://doi.org/10.13108/2013-5-2-12 (Mi ufa194) 		 
On solutions of a system of partial differential equations with two independent variables

S. Baizaeva, D. A. Vositovab

a Sibai Institute (Branch of Bashkir State University), Belova str., 21, 453838, Sibai, Russia
b Khudzhand State University, Mavlonbekov str., 2, 735700, Khudzhand, Republic of Tadzhikistan
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DOI: https://doi.org/10.13108/2013-5-2-12
Abstract: In the paper we consider first order linear elliptic and hyperbolic systems with constant coefficients and two independent variables. For such systems we study the variety of all the solutions and that of the solutions growing at infinity at most as a power function.
Keywords: elliptic and hyperbolic system, moderately growing solutions, solutions of power growth, dimension of space of solutions.
Received: 27.02.2012
Russian version:
Ufimskii Matematicheskii Zhurnal, 2013, Volume 5, Issue 2, Pages 12–17
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35С11
Language: English
Original paper language: Russian
Citation: S. Baizaev, D. A. Vositova, “On solutions of a system of partial differential equations with two independent variables”, Ufimsk. Mat. Zh., 5:2 (2013), 12–17; Ufa Math. J., 5:2 (2013), 12–17
Citation in format AMSBIB
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\paper On solutions of a system of partial differential equations with two independent variables
\jour Ufimsk. Mat. Zh.
\yr 2013
\vol 5
\issue 2
\pages 12--17
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3430772}
\elib{https://elibrary.ru/item.asp?id=19063032}
\transl
\jour Ufa Math. J.
\yr 2013
\vol 5
\issue 2
\pages 12--17
\crossref{https://doi.org/10.13108/2013-5-2-12}
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    Abstract page:340
    Russian version PDF:126
    English version PDF:29
    References:101
    First page:2
     
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