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Boundary-value problem for a mixed parabolic-hyperbolic equation of the third order

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Abstract

The unique solvability of a certain boundary-value problem is proved for a mixed parabolic-hyperbolic type equation of the third order.

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References

  1. K. B. Sabitov, “On the Tricomi problem for the Lavrent'ev-Bitsadze equation with a spectral parameter,”Differents. Uravn.,22, No. 11, 1977–1984 (1986).

    Google Scholar 

  2. K. B. Sabitov, “On the theory of equations of mixed parabolic-hyperbolic type with a spectral parameter,”Differents. Uravn.,25, No. 1, 117–126 (1989).

    Google Scholar 

  3. K. Rektorys,Variational Methods in Mathematics, Science and Engineering, Dr. Reidel Publishing Company, Dordrecht-Boston-London; SNTL-Publishers of Technical Literature, Prague (1980).

  4. E. S. Lepin,Higher Algebra Course [in Russian], Gostekhizdat, Moscow (1953).

    Google Scholar 

  5. A. N. Tikhonov and A. A. Samarskii,Equations of Mathematical Physics [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  6. I. N. Vekua,New Methods for Solving Elliptic Equations [in Russian], Gostekhizdat, Moscow (1948).

    Google Scholar 

  7. M. S. Salakhitdinov and A. K. Urinov, “On some boundary-value problems with shift for equations of mixed type,” in:Differential Equations and Problems of Branching Theory [in Russian], Fan, Tashkent (1982), pp. 3–12.

    Google Scholar 

  8. F. J. Tricomi, “Sullc equazioni lineari alle derivate parziali di 2 ordinc di tipo misto,”Memorie della R. Accademia Nazionale dei Lincci, serie V., vol. IV, fasc. VII (1923).

  9. T. D. Dzhuraev,Boundary-Value Problems for Equations of Mixed and Mixed-Combined Type [in Russian], Fan, Tashkent (1979).

    Google Scholar 

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 1, pp. 20–29, January, 1995.

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Eleev, V.A. Boundary-value problem for a mixed parabolic-hyperbolic equation of the third order. Ukr Math J 47, 20–31 (1995). https://doi.org/10.1007/BF01058792

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  • DOI: https://doi.org/10.1007/BF01058792

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