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Nonlocal problem for the Lavrent’ev-Bitsadze equation and its analogs in the theory of equations of mixed parabolic-hyperbolic type

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Abstract

We study a nonlocal interior-boundary value problem with an Erdelyi-Kober operator for the Lavrent’ev-Bitsadze equation and its analogs in the theory of equations of mixed parabolic-hyperbolic type.

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References

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

    Google Scholar 

  2. Nakhusheva, Z.A., On a Nonlocal Problem of A. A. Dezin for the Lavrent’ev-Bitsadze Equation, Differ. Uravn., 2009, vol. 45, no. 8, pp. 1199–1203.

    MathSciNet  Google Scholar 

  3. Nakhushev, A.M., Drobnoe ischislenie i ego primenenie (Fractional Calculus and Its Application), Moscow, 2003.

    MATH  Google Scholar 

  4. Nakhusheva, V.A., Differentsial’nye uravneniya matematicheskikh modelei nelokal’nykh protsessov (Differential Equations in Mathematical Models of Nonlocal Processes), Moscow: Nauka, 2006.

    Google Scholar 

  5. Kapustin, N.Yu., Generalized Solvability of the Tricomi Problem for a Parabolic-Hyperbolic Equation, Dokl. Akad. Nauk SSSR, 1984, vol. 274, no. 6, pp. 1294–1298.

    MathSciNet  Google Scholar 

  6. Dzhuraev, T.D., Sopuev, A., and Mamazhanov, M., Kraevye zadachi dlya uravnenii parabolo-giperbolicheskogo tipa (Boundary Value Problems for Equations of Parabolic-Hyperbolic Type), Tashkent: Fan, 1986.

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Original Russian Text © Z.A. Nakhusheva, 2013, published in Differentsial’nye Uravneniya, 2013, Vol. 49, No. 10, pp. 1332–1339.

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Nakhusheva, Z.A. Nonlocal problem for the Lavrent’ev-Bitsadze equation and its analogs in the theory of equations of mixed parabolic-hyperbolic type. Diff Equat 49, 1299–1306 (2013). https://doi.org/10.1134/S001226611310011X

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  • DOI: https://doi.org/10.1134/S001226611310011X

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