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On an approach to the study of the solvability of boundary value problems for the system of differential equations of the 3D theory of elasticity

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Abstract

We study the solvability of a boundary value problem for a system of second-order linear partial differential equations. A theorem on the existence of a solution of the problem is proved. The method used in the study is to reduce the original system of equations to a system of 3D singular integral equations, whose solvability can be proved with the use of the notion of symbol of a singular operator.

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Authors and Affiliations

  1. Naberezhnye Chelny Branch of Kazan Federal University, Naberezhnye Chelny, Russia

    S. N. Timergaliev

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  1. S. N. Timergaliev
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Correspondence to S. N. Timergaliev.

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Original Russian Text © S.N. Timergaliev, 2016, published in Differentsial’nye Uravneniya, 2016, Vol. 52, No. 4, pp. 544–548.

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Timergaliev, S.N. On an approach to the study of the solvability of boundary value problems for the system of differential equations of the 3D theory of elasticity. Diff Equat 52, 522–526 (2016). https://doi.org/10.1134/S0012266116040121

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  • DOI: https://doi.org/10.1134/S0012266116040121

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