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JOURNALS // Proceedings of the Institute of Mathematics of the NAS of Belarus // Archive

Tr. Inst. Mat., 2019 Volume 27, Number 1-2, Pages 29–36 (Mi timb300)

This article is cited in 2 papers

Statement of border tasks on the plane dependent on the coefficients for the type of the wave equation. I

V. I. Korzyuka, I. S. Kozlovskajab, S. N. Naumavetsc

a Institute of Mathematics of the National Academy of Sciences of Belarus, Minsk
b Belarusian State University, Minsk
c Brest State Technical University

Abstract: In the half-strip we consider problems for a second-order equation with constant coefficients, whose operator represents a composition of first-order operators. The Cauchy and Dirichlet conditions join the equation. One of the coefficients of the equation as a parameter varies with respect to another quantity, sign. Depending on this, the correct problems for the simplest boundary conditions are considered.

UDC: 517.958

Received: 20.09.2018



© Steklov Math. Inst. of RAS, 2024