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Dirichlet problem for third-order hyperbolic equations

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Abstract

We consider Dirichlet problem for third-order linear hyperbolic equations. We prove the existence and uniqueness of classical solution by means of an energy inequality and Riemann’s method. We reveal the influence of coefficients at lower derivatives on the well-posedness of the Dirichlet problem.

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Authors and Affiliations

  1. M. Ulugbek National University of Uzbekistan, ul. Universitetskaya 4, Tashkent, 100174, Republic of Uzbekistan

    O. S. Zikirov

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  1. O. S. Zikirov
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Correspondence to O. S. Zikirov.

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Original Russian Text © O.S. Zikirov, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 7, pp. 63–71.

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Zikirov, O.S. Dirichlet problem for third-order hyperbolic equations. Russ Math. 58, 53–60 (2014). https://doi.org/10.3103/S1066369X14070068

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  • DOI: https://doi.org/10.3103/S1066369X14070068

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