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Problems with normal derivatives in the boundary conditions for a hyperbolic equation with deviating arguments of the unknown function

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Abstract

For a hyperbolic equation of a form earlier unstudied, we consider two problems with normal derivatives in the boundary conditions. For each of these problems, we prove the existence of a unique reduction to the Goursat problem.

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Authors and Affiliations

  1. Kazan Federal University, Kazan, Russia

    V. I. Zhegalov & E. A. Utkina

Authors
  1. V. I. Zhegalov
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  2. E. A. Utkina
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Correspondence to V. I. Zhegalov.

Additional information

Original Russian Text © V.I. Zhegalov, E.A. Utkina, 2014, published in Differentsial’nye Uravneniya, 2014, Vol. 50, No. 2, pp. 223–228.

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Zhegalov, V.I., Utkina, E.A. Problems with normal derivatives in the boundary conditions for a hyperbolic equation with deviating arguments of the unknown function. Diff Equat 50, 226–231 (2014). https://doi.org/10.1134/S0012266114020104

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  • DOI: https://doi.org/10.1134/S0012266114020104

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