Sirojiddin Z. Dzhamalov, “A nonlocal boundary value problem with constant coefficients for the multidimensional second order equation of mixed type of the second kind”, J. Sib. Fed. Univ. Math. Phys., 2018, Volume 11, Issue 4,Pages <nobr>472

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A nonlocal boundary value problem with constant coefficients for the multidimensional second order equation of mixed type of the second kind

Sirojiddin Z. Dzhamalov

Institute of Mathematics, Uzbekistan Academy of Sciences, M. Ulugbek, Tashkent, 100170, Uzbekistan

Abstract: Multidimensional second order equation of the mixed type of the second kind is considered in the paper. Unique solvability and smoothness of the solution of a nonlocal boundary value problem with constant coefficients in Sobolev spaces are proved under some conditions on coefficients.

Keywords: multidimensional equations, solvability, generalized solution.

UDC: 517.956.6

Received: 06.11.2017
Received in revised form: 28.12.2017
Accepted: 15.02.2018

Language: English

DOI: 10.17516/1997-1397-2018-11-4-472-481