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JOURNALS // News of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences // Archive

News of the Kabardin-Balkar scientific center of RAS, 2002 Issue 1, Pages 112–122 (Mi izkab824)

MATHEMATICS

Nonlocal boundary value problems for elliptic equations

N. E. Tovmasyan, V. A. Iritsyan

Armenian State Engineering University, Yerevan

Abstract: The paper considers nonlocal boundary value problems for second-order elliptic equations, as well as local and nonlocal Riemann-Hilbert problems for analytic functions and their interrelation. Necessary and sufficient conditions for unique solvability are obtained and effective methods for solving the problems considered are indicated.

Keywords: Riemann-Hilbert problem, analytic function, elliptic equations, nonlocal boundary value problem

UDC: 517.919



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