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On a certain boundary value problem of N. P. Vekua with a piecewise-smooth shift on a piecewise Lyapunov contour

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Literature Cited

  1. G. S. Litvinchuk, “On an operator approach to the theory of the boundary value problems with a shift, for functions that are analytic in a domain,” in: Scientific Works of Commemorative Seminar on Boundary Value Problems, Dedicated to the 75th Birthday Anniversary of Acad. F. D. Gakhov [in Russian], Izd. Belorus. Univ., Minsk (1985), pp. 69–76.

    Google Scholar 

  2. N. P. Vekua, “On a certain generalized boundary value problem of Carleman for several unknown functions,” Izv. Akad. Nauk SSSR, Ser. Mat.,20, No. 3, 377–384 (1956).

    MATH  MathSciNet  Google Scholar 

  3. G. S. Litvinchuk, Boundary Values Problems and Singular Integral Equations with a Shift [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  4. G. S. Litvinchuk and A. P. Nechaev, “A generalized Carleman boundary value problem,” Mat. Sb.,82 (124), No. 1, 30–54 (1970).

    MathSciNet  Google Scholar 

  5. N. I. Lisovets, “On a certain method for investigating boundary value problems for functions that are analytic in a domain,” Soobshch. Akad. Nauk Gruz. SSSR,122, No. 3, 477–480 (1986).

    MATH  MathSciNet  Google Scholar 

  6. Yu. L. Latushkin, G. S. Litvinchuk, and I. M. Spitkovskii, “On the theory of a boundary value problem of Nikolai Vekua,” Trudy Tbiliss. Univ. Mat. Mekh. Astron., No. 19–20, 163–188 (1986).

    MathSciNet  Google Scholar 

  7. S. F. Skorokhod, “The Noether theory of multielement boundary value problems with a shift, for functions that are analytic in a domain,” Candidate's Dissertation, Odessa (1984).

  8. I. Ts. Gokhberg and N. Ya. Krupnik, “Singular integral equations with continuous coefficients on a composite contour,” Mat. Issled.,5, No. 2, 89–103 (1970).

    MATH  MathSciNet  Google Scholar 

  9. N. Ya. Krupnik and V. I. Nyaga, “Singular integral operators with shift along a piecewise Lyapunov contour,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 6, 60–72 (1975).

    Google Scholar 

  10. Z. M. Lysenko, “On the Noether theory of singular integral operators with two Carleman shifts,” Manuscript deposited at UkrNIINTI, Dec. 9, 1985, No. 2703-Uk85, Odessa (1985).

  11. G. M. Goluzin, Geometric Theory of Functions of a Complex Variable, Am. Math. Soc., Providence (1969).

    MATH  Google Scholar 

  12. N. I. Lisovets, “The investigation of certain mixed boundary value problems of the theory of analytic functions,” Candidate's Dissertation, Odessa (1984).

  13. I. Ts. Gokhberg and N. Ya. Krupnik, “Singular integral operators with piecewise continuous coefficients and their symbols,” Izv. Akad. Nauk SSSR, Ser. Mat.,35, No. 4, 940–964 (1971).

    MATH  MathSciNet  Google Scholar 

  14. Yu. I. Karlovich, “On algebras of singular integral operators with discrete groups of shifts in the spaces Lp,” Dokl. Akad. Nauk SSSR,304, No. 2, 274–280 (1989).

    Google Scholar 

  15. Yu. I. Karlovich and V. G. Kravchenko, “The algebra of singular integral operators with piecewise smooth shift on a complex contour,” Izv. Akad. Nauk SSSR, Ser. Mat.,47, No. 5, 1030–1077 (1983).

    MathSciNet  Google Scholar 

  16. Z. M. Lysenko, “On the Noether theory of singular integral operators with two Carleman shifts,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 6, 82–85 (1987).

    MathSciNet  Google Scholar 

  17. Z. M. Lysenko, “On a certain class of singular integral operators with two discontinuous shifts,” in: Abstracts of the Reports of the Republic Scientific Conference “Differential and Integral Equations and Their Applications. Part 1,” Odessa (1987), pp. 167–168.

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  1. Z. M. Lysenko
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Odessa. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 33, No. 2, pp. 108–115, March–April, 1992.

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Lysenko, Z.M. On a certain boundary value problem of N. P. Vekua with a piecewise-smooth shift on a piecewise Lyapunov contour. Sib Math J 33, 272–279 (1992). https://doi.org/10.1007/BF00971098

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  • DOI: https://doi.org/10.1007/BF00971098

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