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Trudy Moskovskogo Matematicheskogo Obshchestva
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Trudy Moskovskogo Matematicheskogo Obshchestva, 1952, Volume 1, Pages 327–420 (Mi mmo7)  

This article is cited in 30 scientific papers (total in 30 papers)

Some questions of the theory of one-dimensional linear differential operators of the second order. I

V. A. Marchenko
Received: 08.05.1951
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. A. Marchenko, “Some questions of the theory of one-dimensional linear differential operators of the second order. I”, Tr. Mosk. Mat. Obs., 1, GITTL, Moscow–Leningrad, 1952, 327–420
Citation in format AMSBIB
\Bibitem{Mar52}
\by V.~A.~Marchenko
\paper Some questions of the theory of one-dimensional linear differential operators of the second order.~I
\serial Tr. Mosk. Mat. Obs.
\yr 1952
\vol 1
\pages 327--420
\publ GITTL
\publaddr Moscow–Leningrad
\mathnet{http://mi.mathnet.ru/mmo7}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=58064}
\zmath{https://zbmath.org/?q=an:0048.32501}
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  • https://www.mathnet.ru/eng/mmo7
  • https://www.mathnet.ru/eng/mmo/v1/p327
    Cycle of papers Remarks
    This publication is cited in the following 30 articles:
    1. P. G. Grinevich, “Riemann Surfaces Close to Degenerate Ones in the Theory of Rogue Waves”, Proc. Steklov Inst. Math., 325 (2024), 86–110  mathnet  crossref  crossref  zmath  isi
    2. O. E. Mirzaev, “Chastichno-izospektralnye operatory Shturma — Liuvillya na konechnom otrezke”, Chebyshevskii sb., 24:1 (2023), 104–113  mathnet  crossref
    3. A. M. Savchuk, I. V. Sadovnichaya, “Spektralnyi analiz odnomernoi sistemy Diraka s summiruemym potentsialom i operatora Shturma—Liuvillya s koeffitsientami-raspredeleniyami”, Spektralnyi analiz, SMFN, 66, no. 3, Rossiiskii universitet druzhby narodov, M., 2020, 373–530  mathnet  crossref
    4. O. E. Mirzaev, A. B. Khasanov, “On families of isospectral Sturm–Liouville boundary value problems”, Ufa Math. J., 12:2 (2020), 28–34  mathnet  crossref  isi
    5. S. I. Mitrokhin, “Asimptotika spektra periodicheskoi kraevoi zadachi dlya differentsialnogo operatora s summiruemym potentsialom”, Tr. IMM UrO RAN, 25, no. 1, 2019, 136–149  mathnet  crossref  elib
    6. Guo Y., Wei G., Yao R., “Inverse Problems For Dirac Operator With the Potential Known on An Interior Subinterval”, Anal. Math. Phys., 9:1 (2019), 155–163  crossref  mathscinet  zmath  isi  scopus
    7. V. V. Katrakhov, S. M. Sitnik, “Metod operatorov preobrazovaniya i kraevye zadachi dlya singulyarnykh ellipticheskikh uravnenii”, Singulyarnye differentsialnye uravneniya, SMFN, 64, no. 2, Rossiiskii universitet druzhby narodov, M., 2018, 211–426  mathnet  crossref
    8. A. M. Savchuk, “Reconstruction of the Potential of the Sturm–Liouville Operator from a Finite Set of Eigenvalues and Normalizing Constants”, Math. Notes, 99:5 (2016), 715–728  mathnet  crossref  crossref  mathscinet  isi  elib
    9. Hryniv R.O. Manko S.S., “Inverse Scattering on the Half-Line For ZS-AKNS Systems With Integrable Potentials”, Integr. Equ. Oper. Theory, 84:3 (2016), 323–355  crossref  isi  elib
    10. M. L. Blank, “Interlacing and smoothing: combinatorial aspects”, Problems Inform. Transmission, 50:4 (2014), 350–363  mathnet  crossref  isi
    11. Brunnhuber R., Eckhardt J., Kostenko A., Teschl G., “Singular Weyl-Titchmarsh-Kodaira Theory For One-Dimensional Dirac Operators”, Mon.heft. Math., 174:4 (2014), 515–547  crossref  isi
    12. A. Yu. Trynin, “On inverse nodal problem for Sturm-Liouville operator”, Ufa Math. J., 5:4 (2013), 112–124  mathnet  crossref  elib
    13. Guldu Y., Amirov R.Kh., Topsakal N., “On Impulsive Sturm-Liouville Operators with Singularity and Spectral Parameter in Boundary Conditions”, Ukr. Math. J., 64:12 (2013), 1816–1838  crossref  mathscinet  zmath  isi  elib
    14. T. N. Harutyunyan, “Asymptotics of the norming constants of the Sturm–Liouville problem”, Uch. zapiski EGU, ser. Fizika i Matematika, 2013, no. 3, 3–11  mathnet
    15. Hryniv R.O., Mykytyuk Ya.V., Perry P.A., “Inverse Scattering for Schrodinger Operators with Miura Potentials, II. Different Riccati Representatives”, Commun. Partial Differ. Equ., 36:9 (2011), 1587–1623  crossref  mathscinet  zmath  isi  elib
    16. T. N. Harutyunyan, “The eigenvalue function of a family of Sturm–Liouville operators”, Izv. Math., 74:3 (2010), 439–459  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    17. A. M. Savchuk, A. A. Shkalikov, “Inverse Problems for Sturm–Liouville Operators with Potentials in Sobolev Spaces: Uniform Stability”, Funct. Anal. Appl., 44:4 (2010), 270–285  mathnet  crossref  crossref  mathscinet  zmath  isi
    18. A. M. Savchuk, A. A. Shkalikov, “On the Properties of Maps Connected with Inverse Sturm–Liouville Problems”, Proc. Steklov Inst. Math., 260 (2008), 218–237  mathnet  crossref  mathscinet  zmath  isi  elib  elib
    19. 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
    20. A. S. Pechentsov, A. Yu. Popov, “Asymptotic Behavior of the Spectral Measure of a Singular Sturm–Liouville Operator”, Math. Notes, 75:3 (2004), 420–425  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
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    Trudy Moskovskogo Matematicheskogo Obshchestva
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