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Boundary Value Problem for Degenerate Sobolev Type Systems

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We establish the solvability of a boundary problem for a degenerate system of composite (Sobolev) type. We prove the existence of a regular solution.

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References

  1. V. S. Vladimirov, Equations in Mathematical Physics [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  2. A. I. Kozhanov, “On properties of solutions for a class of pseudoparabolic equations” [in Russian], Dokl. RAN 236, No. 5, 781–786 (1992); English transl.: Russ. Acad. Sci., Dokl., Math. 46, No. 2, 359–363 (1993).

    MathSciNet  Google Scholar 

  3. A. I. Kozhanov, “Certain classes of degenerate Sobolev–Galpern equations” Sib. Adv. Math. textbf4, No., 1, 65–94 (1994).

  4. A. I. Kozhanov, “Boundary value problems for some classes of higher order equations that are unsolved with respect to the highest derivative” [in Russian], Sib. Mat. Zh. 35, No. 2, 359-376 (1994); English transl.: Sib. Math. J. 35, No. 2, 324–340 (1994).

    Article  MATH  MathSciNet  Google Scholar 

  5. A. I. Kozhanov, Composite Type Equation and Inverse Problem, VSP, Utrecht (1999).

    Book  Google Scholar 

  6. G. A. Sviridyuk and V. E. Fedorov, Linear Sobolev Type Equation and Degenerate Semigroup of Operators, VSP, Utrecht (2003).

    Book  Google Scholar 

  7. V. E. Fedorov, “Degenerate strongly continuous operator groups” [in Russian], Izv. Vyssh. Uchebn. Zaved., Mat. No. 3, 54-65 (2000); English transl.,: Russ. Math. 44, No. 3, 51–62 (2000).

    Google Scholar 

  8. S. Ya. Yakubov, Linear Differential-Operator Equations and Applications [in Russian], Elm, Baku (1985).

    Google Scholar 

  9. O. A. Ladyzhenskaya and N. N. Uraltseva, Linear and Quasilinear Elliptic Equations [in Russian], Nauka, Moscow (1973); English transl.: Academic Press, New York (1968).

    Google Scholar 

  10. M. M. Smirnov, Degenerate Elliptic and Hyperbolic Equations [in Russian], Nauka, Moscow (1966).

    Google Scholar 

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Authors and Affiliations

  1. Ammosov North-Eastern Federal University, 58, Belinskogo St., Yakutsk, 677000, Russia

    N. R. Pinigina

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  1. N. R. Pinigina
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Correspondence to N. R. Pinigina.

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Translated from Vestnik Novosibirskogo Gosudarstvennogo Universiteta: Seriya Matematika, Mekhanika, Informatika 12, No. 3, 2012, pp. 127–138.

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Pinigina, N.R. Boundary Value Problem for Degenerate Sobolev Type Systems. J Math Sci 202, 80–90 (2014). https://doi.org/10.1007/s10958-014-2035-4

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  • DOI: https://doi.org/10.1007/s10958-014-2035-4

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