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Integral representation of a solution of the Cauchy problem for a degenerating hyperbolic equation with retarded argument

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Abstract

By using the method of integral equations, we prove the existence and uniqueness of a regular solution of the Cauchy problem for a degenerating hyperbolic equation with retarded argument.

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References

  1. Yu. M. Krikunov, Lectures on Equations of Mathematical Physics and Integral Equations [in Russian], Kazan' University, Kazan', (1970).

    Google Scholar 

  2. O. I. Marichev, Method for Calculation of Integrals of Special Functions [in Russian], Nauka i Tekhnika, Minsk (1978).

    Google Scholar 

  3. V. A. Ditkin and A. I. Prudnikov, Operational Calculus [in Russian], Vysshaya Shkola, Moscow (1975).

    Google Scholar 

  4. I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  5. N. M. Matveev, Methods for Integration of Ordinary Differential Equations [in Russian], Vysshaya Shkola, Moscow (1967).

    Google Scholar 

  6. R. Bellman and K. L. Cooke, Differential-Difference Equations, Academic Press, New York (1963).

    MATH  Google Scholar 

  7. B. M. Budak and S. V. Fomin, Multiple Integrals and Series [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  8. H. Bateman and A. Erdélyi, Higher Transcendental Functions, Vol. 2, McGraw-Hill, New York (1953).

    Google Scholar 

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Authors
  1. A. N. Zarubin
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Additional information

Orel Pedagogic Institute, Russia. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 10, pp. 1332–1336, October, 1997.

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Zarubin, A.N. Integral representation of a solution of the Cauchy problem for a degenerating hyperbolic equation with retarded argument. Ukr Math J 49, 1501–1506 (1997). https://doi.org/10.1007/BF02487436

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  • DOI: https://doi.org/10.1007/BF02487436

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