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Criterion for the uniqueness of a solution of the Darboux-Protter problem for multidimensional Hyperbolic equations with Chaplygin operator

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Abstract

We obtain a criterion for the uniqueness of a regular solution of the Darboux-Protter problem for multidimensional hyperbolic equations with Chaplygin operator. We also prove a theorem on the uniqueness of solutions of the dual problem.

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Authors and Affiliations

  1. Kazakhstan Academy of Transport and Communications, Alma-Ata, Kazakhstan

    S. A. Aldashev

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  1. S. A. Aldashev
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 8, pp. 1119–1127, August, 2004.

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Aldashev, S.A. Criterion for the uniqueness of a solution of the Darboux-Protter problem for multidimensional Hyperbolic equations with Chaplygin operator. Ukr Math J 56, 1331–1342 (2004). https://doi.org/10.1007/s11253-005-0060-7

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  • DOI: https://doi.org/10.1007/s11253-005-0060-7

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