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On the existence of a solution of a quasilinear mixed problem for a quasiwave equation

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Abstract

We establish conditions for the existence and uniqueness of a solution of a quasilinear mixed problem for a quasiwave equation.

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References

  1. A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1966).

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  2. Yu. A Mitropol'skii, G. P. Khoma, and M. I. Gromyak Asymptotic Methods for the Investigation of Quasiwave Equations of Hyperbolic Type [in Russian], Naukova Dumka, Kiev (1991).

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    V. G. Kolomiets

  2. Poltava Pedagogic University, Poltava

    I. V. Komashinskaya

Authors
  1. V. G. Kolomiets
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  2. I. V. Komashinskaya
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 9, pp. 1182–1185, September, 1997.

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Kolomiets, V.G., Komashinskaya, I.V. On the existence of a solution of a quasilinear mixed problem for a quasiwave equation. Ukr Math J 49, 1330–1334 (1997). https://doi.org/10.1007/BF02487340

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  • DOI: https://doi.org/10.1007/BF02487340

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