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Boundary value problems for a nonstrictly hyperbolic equation of the third order

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Abstract

We study classical solutions of boundary value problems for a nonstrictly hyperbolic third-order equation. The equation is posed in a half-strip and a quadrant of the plane of two independent variables. The Cauchy conditions are posed on the lower boundary of the domain, and the Dirichlet conditions are posed on the lateral boundaries. By using the method of characteristics, we find the analytic form of the solution of considered problems. The uniqueness of the solutions is proved.

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Authors and Affiliations

  1. Belarusian State University, Minsk, Belarus

    V. I. Korzyuk & A. A. Mandrik

Authors
  1. V. I. Korzyuk
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  2. A. A. Mandrik
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Correspondence to V. I. Korzyuk.

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Original Russian Text © V.I. Korzyuk, A.A. Mandrik, 2016, published in Differentsial’nye Uravneniya, 2016, Vol. 52, No. 2, pp. 209–219.

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Korzyuk, V.I., Mandrik, A.A. Boundary value problems for a nonstrictly hyperbolic equation of the third order. Diff Equat 52, 210–219 (2016). https://doi.org/10.1134/S0012266116020075

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  • DOI: https://doi.org/10.1134/S0012266116020075

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