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Cauchy problem for a nonstrictly hyperbolic equation on a half-plane with constant coefficients

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Abstract

We consider the Cauchy problem for a nonstrictly hyperbolic equation of arbitrary order with constant coefficients. The operator in the equation is a composition of first-order differential operators. The equation is supplemented with Initial conditions. We find the solution of this problem on a half-plane in analytic form in the case of two independent variables under some conditions on the coefficients.

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References

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Authors and Affiliations

  1. Institute of Mathematics, National Academy of Sciences, Minsk, Belarus

    V. I. Korzyuk, I. S. Kozlovskaya & A. I. Kozlov

  2. Belarus State University, Minsk, Belarus

    V. I. Korzyuk, I. S. Kozlovskaya & A. I. Kozlov

Authors
  1. V. I. Korzyuk
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  2. I. S. Kozlovskaya
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  3. A. I. Kozlov
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Corresponding author

Correspondence to V. I. Korzyuk.

Additional information

Original Russian Text © V.I. Korzyuk, I.S. Kozlovskaya, A.I. Kozlov, 2015, published in Differentsial’nye Uravneniya, 2015, Vol. 51, No. 6, pp. 714–725.

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Korzyuk, V.I., Kozlovskaya, I.S. & Kozlov, A.I. Cauchy problem for a nonstrictly hyperbolic equation on a half-plane with constant coefficients. Diff Equat 51, 726–737 (2015). https://doi.org/10.1134/S0012266115060038

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  • DOI: https://doi.org/10.1134/S0012266115060038

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