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Trudy Moskovskogo Matematicheskogo Obshchestva
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Trudy Moskovskogo Matematicheskogo Obshchestva, 1966, Volume 15, Pages 70–144 (Mi mmo167)  

This article is cited in 15 scientific papers (total in 15 papers)

The inverse problem of the spectral analysis of ordinary differential operators of higher orders

Z. I. Leĭbenzon

Kiev
Received: 24.01.1965
Bibliographic databases:
Document Type: Article
UDC: 517.4
MSC: Primary 47.60; Secondary 34.30
Language: Russian
Citation: Z. I. Leǐbenzon, “The inverse problem of the spectral analysis of ordinary differential operators of higher orders”, Tr. Mosk. Mat. Obs., 15, MSU, M., 1966, 70–144
Citation in format AMSBIB
\Bibitem{Lei66}
\by Z.~I.~Le{\v\i}benzon
\paper The inverse problem of the spectral analysis of ordinary differential operators of higher orders
\serial Tr. Mosk. Mat. Obs.
\yr 1966
\vol 15
\pages 70--144
\publ MSU
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo167}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=205116}
\zmath{https://zbmath.org/?q=an:0206.44601}
Linking options:
  • https://www.mathnet.ru/eng/mmo167
  • https://www.mathnet.ru/eng/mmo/v15/p70
  • This publication is cited in the following 15 articles:
    1. Bondarenko N.P., “Inverse Spectral Problems For Arbitrary-Order Differential Operators With Distribution Coefficients”, Mathematics, 9:22 (2021), 2989  crossref  mathscinet  isi  scopus
    2. Bondarenko N.P., “Solving An Inverse Problem For the Sturm-Liouville Operator With Singular Potential By Yurko'S Method”, Tamkang J. Math., 52:1, SI (2021), 125–154  crossref  mathscinet  isi  scopus
    3. B. E. Kanguzhin, “Recovering of two-point boundary conditions by finite set of eigenvalues of boundary value problems for higher order differential equations”, Ufa Math. J., 12:3 (2020), 22–29  mathnet  crossref  isi
    4. V. A. Sadovnichii, Ya. T. Sultanaev, A. M. Akhtyamov, “Uniqueness of reconstruction of an $n$th-order differential operator with nonseparated boundary conditions by several spectra”, Dokl. Math., 101:1 (2020), 46–48  mathnet  crossref  crossref  zmath  elib
    5. V. A. Tkachenko, “Eigenfunction Expansions Associated with One-Dimensional Periodic Differential Operators of Order $2n$”, Funct. Anal. Appl., 41:1 (2007), 54–72  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    6. V. A. Yurko, “Recovering singular differential pencils with a turning point”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 5:1-2 (2005), 71–81  mathnet
    7. V. A. Yurko, “An inverse spectral problem for singular non-self-adjoint differential systems”, Sb. Math., 195:12 (2004), 1823–1854  mathnet  crossref  crossref  mathscinet  zmath  isi
    8. V. A. Yurko, “Reconstruction of Sturm–Liouville differential operators with singularities inside the interval”, Math. Notes, 64:1 (1998), 121–132  mathnet  crossref  crossref  mathscinet  zmath  isi
    9. V. A. Yurko, “On determination of self-adjoint differential operators on a semiaxis”, Math. Notes, 57:3 (1995), 310–318  mathnet  crossref  mathscinet  zmath  isi  elib
    10. V. A. Yurko, “On higher-order differential operators with a regular singularity”, Sb. Math., 186:6 (1995), 901–928  mathnet  crossref  mathscinet  zmath  isi
    11. S. E. Bekhiri, A. R. Kazaryan, I. G. Khachatryan, “O vosstanovlenii regulyarnogo dvuchlennogo differentsialnogo operatora proizvolnogo chetnogo poryadka po spektru”, Uch. zapiski EGU, ser. Fizika i Matematika, 1994, no. 2, 8–22  mathnet
    12. V. A. Yurko, “Recovery of nonselfadjoint differential operators on the half-line from the Weyl matrix”, Math. USSR-Sb., 72:2 (1992), 413–438  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    13. I. G. Khachatryan, “Certain inverse problems for differential operators of higher orders on the semiaxis”, Funct. Anal. Appl., 17:1 (1983), 30–40  mathnet  crossref  mathscinet  zmath  isi
    14. Z. I. Leibenzon, “Algebraic-differential transformations of linear differential operators of arbitrary order and their spectral properties applicable to the inverse problem. I. The case of finite $\mathfrak N$”, Math. USSR-Sb., 16:3 (1972), 408–428  mathnet  crossref  mathscinet  zmath
    15. Z. I. Leibenzon, “Algebraic-differential transformations of linear differential operators of arbitrary order and their spectral properties applicable to the inverse problem”, Math. USSR-Sb., 18:3 (1972), 425–471  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
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    Trudy Moskovskogo Matematicheskogo Obshchestva
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