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Inverse Problem for a Differential Operator with Nonseparated Boundary Conditions

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Abstract

Uniqueness theorems for the solution of an inverse problem for a fourth-order differential operator with nonseparated boundary conditions are proved. The spectral data for the problem is specified as the spectrum of the problem itself (or its three eigenvalues) and the spectral data of a system of three problems.

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References

  1. M. A. Naimark, Linear Differential Operators (Ungar, New York, 1967; Nauka, Moscow, 1969).

    MATH  Google Scholar 

  2. Z. L. Leibenzon, Tr. Mosk. Mat. O–va 15, 70–145 (1966).

    MathSciNet  Google Scholar 

  3. E. A. Baranova, Dokl. Akad. Nauk SSSR 205 (6), 1271–1273 (1972).

    MathSciNet  Google Scholar 

  4. E. L. Korotyaev and D. S. Chelkak, St. Petersburg Math. J. 21 (5), 761–778 (2009).

    Article  Google Scholar 

  5. Kh. R. Mamedov and F. A. Cetinkaya, Appl. Math. Inf. Sci. 9 (2), 981–988 (2015).

    MathSciNet  Google Scholar 

  6. A. M. Savchuk and A. A. Shkalikov, Funct. Anal. Appl. 44 (4), 270–285 (2010).

    Article  MathSciNet  Google Scholar 

  7. V. A. Sadovnichii, Dokl. Akad. Nauk SSSR 206 (2), 293–296 (1972).

    MathSciNet  Google Scholar 

  8. O. A. Plaksina, Math. USSR Sb. 59 (1), 1–23 (1988).

    Article  MathSciNet  Google Scholar 

  9. O. A. Plaksina, Math. USSR Sb. 64 (1), 141–160 (1989).

    Article  MathSciNet  Google Scholar 

  10. V. A. Yurko, J. Math. Anal. Appl. 250, 266–289 (2000).

    Article  MathSciNet  Google Scholar 

  11. M. G. Gasymov, I. M. Guseinov, and I. M. Nabiev, Sib. Mat. Zh. 31 (6), 46–54 (1990).

    Google Scholar 

  12. V. A. Sadovnichii, Ya. T. Sultanaev, and A. M. Akhtyamov, Az. J. Math. 5 (2), 96–108 (2015).

    Google Scholar 

  13. A. M. Akhtyamov, V. A. Sadovnichy, and Ya. T. Sultanaev, Eurasian Math. J. 8 (1), 10–22 (2017).

    MathSciNet  Google Scholar 

  14. L. Collatz, Eigenwertaufgaben mit technischen Anwendungen (Geest and Portig, Leipzig, 1963).

    MATH  Google Scholar 

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119991, Russia

    V. A. Sadovnichii

  2. Bashkir State Pedagogical University, Ufa, 450000, Bashkortostan, Russia

    Ya. T. Sultanaev

  3. Institute of Mechanics, Russian Academy of Sciences, Ufa, 450025, Bashkortostan, Russia

    Ya. T. Sultanaev & A. M. Akhtyamov

  4. Bashkir State University, Ufa, 450074, Bashkortostan, Russia

    A. M. Akhtyamov

Authors
  1. V. A. Sadovnichii
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  2. Ya. T. Sultanaev
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  3. A. M. Akhtyamov
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Corresponding author

Correspondence to A. M. Akhtyamov.

Additional information

Original Russian Text © V.A. Sadovnichii, Ya.T. Sultanaev, A.M. Akhtyamov, 2018, published in Doklady Akademii Nauk, 2018, Vol. 479, No. 6, pp. 616–619.

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Sadovnichii, V.A., Sultanaev, Y.T. & Akhtyamov, A.M. Inverse Problem for a Differential Operator with Nonseparated Boundary Conditions. Dokl. Math. 97, 181–183 (2018). https://doi.org/10.1134/S1064562418020229

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  • DOI: https://doi.org/10.1134/S1064562418020229

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