On solutions of a system of partial differential equations with two independent variables

S. Baizaev^a, D. A. Vositova<sup>b

a</sup> 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

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.

UDC: 517.95

MSC: 35С11

Received: 27.02.2012

 English version: Ufa Mathematical Journal, 2013, 5:2, 12–17

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