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The three-dimensional generalized Goursat problem for a third-order equation and related general two-dimensional Volterra integral equations of the first kind

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References

  1. Hörmander, L., Linear Partial Differential Operators, New York: Academic, 1963. Translated under the title Lineinye differentsial’nye operatory s chastnymi proizvodnymi, Moscow: Mir, 1965.

    Google Scholar 

  2. Goursat, É., Cours d’analyse mathématique, Paris: Gauthier-Villars, 1927. Translated under the title Kurs matematicheskogo analiza, Moscow, 1933, vol. 3, part 1.

    Google Scholar 

  3. Kharibegashvili, S., Mem. Differential Equations Math. Phys., 1995, vol. 4, p. 127.

    MATH  MathSciNet  Google Scholar 

  4. Di Vincenzo, R. and Villani, A., Le Matematiche: Seminario matematico del l’Università di Catania, 1977, vol. 32, pp. 211–238.

    Google Scholar 

  5. Zhegalov, V.I., Neklassicheskie uravneniya i uravneniya smeshannogo tipa (Nonclassical Equations and Mixed-Type Equations), Novosibirsk: Akad. Nauk SSSR, 1990, pp. 94–98.

    Google Scholar 

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

  7. Jokhadze, O., Rend. Sem. Mat. Univ. Padova, 1997, vol. 98, pp. 107–123.

    MATH  MathSciNet  Google Scholar 

  8. Dzhokhadze, O.M., Izv. Vyssh. Uchebn. Zaved. Mat., 1999, vol. 442, no. 3, pp. 22–30.

    MathSciNet  Google Scholar 

  9. Dzhokhadze, O.M., Izv. Vyssh. Uchebn. Zaved. Mat., 2003, vol. 492, no. 5, pp. 9–20.

    MathSciNet  Google Scholar 

  10. Bitsadze, A.V., Nekotorye klassy uravnenii v chastnykh proizvodnykh (Some Classes of Partial Differential Equations), Moscow: Nauka, 1981.

    Google Scholar 

  11. Godunov, S.K., Uravneniya matematicheskoi fiziki (Equations of Mathematical Physics), Moscow: Nauka, 1971.

    Google Scholar 

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  1. A. Razmadze Mathematical Institute, Georgian Academy of Sciences, Tbilisi, Georgia

    O. M. Jokhadze

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  1. O. M. Jokhadze
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Original Russian Text © O.M. Jokhadze, 2006, published in Differentsial’nye Uravneniya, 2006, Vol. 42, No. 3, pp. 385–394.

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Jokhadze, O.M. The three-dimensional generalized Goursat problem for a third-order equation and related general two-dimensional Volterra integral equations of the first kind. Diff Equat 42, 412–421 (2006). https://doi.org/10.1134/S0012266106030116

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