A PROBLEM WITH DISPLACEMENTS IN THE BOUNDARY CONDITIONS



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Abstract

A problem with conditions relating to the values of an unknown function on the opposite sides of a rectangular characteristiс domain D for a linear hyperbolic equations is considered. This problem is reduced to the system of Fredholm equations of the second kind. The proof of solvability is based on the a priori estimates of additional conditions on the coefficients of the equation.

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E.A. Utkina

Kazan Federal University

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Email: morenov.sv@ssau.ru

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Copyright (c) 2011 Utkina E.

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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