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Conditions for the solvability of a system of integral equations by quadratures

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Abstract

By reduction to Goursat problems, we obtain various versions of conditions ensuring that the solution of the system in question can be constructed in closed form.

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References

  1. Zhegalov, V.I., Solution of Volterra Partial Integral Equations Using Differential Equations, Differ. Uravn., 2008, vol. 44, no. 7, pp. 874–882.

    MathSciNet  Google Scholar 

  2. Appel, J.M., Kalitvin, A.S., and Zabreiko, P.P., Partial Integral Operators and Integro-Differential Equations, New York, 2000.

    Google Scholar 

  3. Chekmarev, T.V., Solution of a Hyperbolic System of Two Partial Differential Equations with Two Unknown Functions, Izv. Vyssh. Uchebn. Zaved. Mat., 1959, no. 6, pp. 220–228.

    Google Scholar 

  4. Bitsadze, A.V., Structural Properties of Solutions of Hyperbolic Systems of First-Order Partial Differential Equations, Mat. Model., 1994, vol. 6, no. 6, pp. 22–31.

    MathSciNet  MATH  Google Scholar 

  5. Bitsadze, A.V., Uravneniya matematicheskoi fiziki (Equations of Mathematical Physics), Moscow Nauka, 1982.

    MATH  Google Scholar 

  6. Zhegalov, V.I. and Mironov, A.N., Differentsial’nye uravneniya so starshimi chastnymi proizvodnymi (Differential Equations with Leading Partial Derivatives), Kazan, 2001.

    Google Scholar 

  7. Zhegalov, V.I., A Remark on Cases of Solvability of Hyperbolic Equations in Terms of Special Functions, in Neklassicheskie uravneniya matematicheskoi fiziki (Nonclassical Equations of Mathematical Physics), Novosibirsk, 2002, pp. 73–79.

    Google Scholar 

  8. Zhegalov, V.I. and Sarvarova, I.M., Solvability of the Goursat Problem by Quadratures, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 3, pp. 68–73.

    MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Kazan (Volga Region) Federal University, Kazan, Russia

    V. I. Zhegalov & E. A. Sozontova

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

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Original Russian Text © V.I. Zhegalov, E.A. Sozontova, 2015, published in Differentsial’nye Uravneniya, 2015, Vol. 51, No. 7, pp. 958–961.

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Zhegalov, V.I., Sozontova, E.A. Conditions for the solvability of a system of integral equations by quadratures. Diff Equat 51, 955–958 (2015). https://doi.org/10.1134/S0012266115070137

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  • DOI: https://doi.org/10.1134/S0012266115070137

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