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Funktsional'nyi Analiz i ego Prilozheniya, 1980, Volume 14, Issue 1, Pages 14–19 (Mi faa1764)  

This article is cited in 55 scientific papers (total in 55 papers)

Spectral analysis of a class of second-order non-self-adjoint differential operators

M. G. Gasymov
References:
Received: 11.03.1979
English version:
Functional Analysis and Its Applications, 1980, Volume 14, Issue 1, Pages 11–15
DOI: https://doi.org/10.1007/BF01078408
Bibliographic databases:
Document Type: Article
UDC: 517.43
Language: Russian
Citation: M. G. Gasymov, “Spectral analysis of a class of second-order non-self-adjoint differential operators”, Funktsional. Anal. i Prilozhen., 14:1 (1980), 14–19; Funct. Anal. Appl., 14:1 (1980), 11–15
Citation in format AMSBIB
\Bibitem{Gas80}
\by M.~G.~Gasymov
\paper Spectral analysis of a class of second-order non-self-adjoint differential operators
\jour Funktsional. Anal. i Prilozhen.
\yr 1980
\vol 14
\issue 1
\pages 14--19
\mathnet{http://mi.mathnet.ru/faa1764}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=565091}
\zmath{https://zbmath.org/?q=an:0574.34012}
\transl
\jour Funct. Anal. Appl.
\yr 1980
\vol 14
\issue 1
\pages 11--15
\crossref{https://doi.org/10.1007/BF01078408}
Linking options:
  • https://www.mathnet.ru/eng/faa1764
  • https://www.mathnet.ru/eng/faa/v14/i1/p14
  • This publication is cited in the following 55 articles:
    1. Shams Annaghili, Rakib Efendiev, Davron Aslonqulovich Juraev, Mohamed Abdalla, “Spectral analysis for the almost periodic quadratic pencil with impulse”, Bound Value Probl, 2025:1 (2025)  crossref
    2. Masahiro Kaminaga, “Perturbation of discriminant for one-dimensional discrete Schrödinger operator with complex-valued sparse periodic potential”, Tohoku Math. J. (2), 77:1 (2025)  crossref
    3. Hui Lu, Jiangong You, “Global structure of spectra of periodic non-Hermitian Jacobi operators”, Sci. China Math., 2024  crossref
    4. C. Nur, “Computing Periodic and Antiperiodic Eigenvalues with a PT-Symmetric Optical Potential”, Math. Notes, 114:6 (2023), 1401–1417  mathnet  mathnet  crossref  scopus
    5. Cemile NUR, “Computing Eigenvalues of Sturm–Liouville Operators with a Family of Trigonometric Polynomial Potentials”, Mathematical Sciences and Applications E-Notes, 11:1 (2023), 29  crossref
    6. A. Kh. Khanmamedov, D. H. Orudjov, “On transformation operators for the Schrödinger equation with an additional periodic complex potential”, Bol. Soc. Mat. Mex., 29:2 (2023)  crossref
    7. P. B. Djakov, B. S. Mityagin, “Spectral triangles of non-selfadjoint Hill and Dirac operators”, Russian Math. Surveys, 75:4 (2020), 587–626  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    8. O. A. Veliev, “Spectral analysis of the Schrödinger operator with a PT-symmetric periodic optical potential”, Journal of Mathematical Physics, 61:6 (2020)  crossref
    9. Veliev O., “Spectral Expansion Series With Parenthesis For the Nonself-Adjoint Periodic Differential Operators”, Commun. Pure Appl. Anal, 18:1 (2019), 397–424  crossref  mathscinet  zmath  isi  scopus
    10. İlker Arslan, “Characterization of the potential smoothness of one-dimensional Dirac operator subject to general boundary conditions and its Riesz basis property”, Journal of Mathematical Analysis and Applications, 447:1 (2017), 84  crossref
    11. Vladimir V. Konotop, Jianke Yang, Dmitry A. Zezyulin, “Nonlinear waves inPT-symmetric systems”, Rev. Mod. Phys., 88:3 (2016)  crossref
    12. Ashraf D Orujov, “On the spectrum of the quadratic pencil of differential operators with periodic coefficients on the semi-axis”, Bound Value Probl, 2015:1 (2015)  crossref
    13. Ashraf D Orujov, “On the spectrum of the pencil of high order differential operators with almost periodic coefficients”, Bound Value Probl, 2015:1 (2015)  crossref
    14. O.A. Veliev, “Spectral problems of a class of non-self-adjoint one-dimensional Schrodinger operators”, Journal of Mathematical Analysis and Applications, 422:2 (2015), 1390  crossref
    15. Ali Mostafazadeh, “Transfer matrices as nonunitarySmatrices, multimode unidirectional invisibility, and perturbative inverse scattering”, Phys. Rev. A, 89:1 (2014)  crossref
    16. Bikashkali Midya, “Supersymmetry-generated one-way-invisiblePT-symmetric optical crystals”, Phys. Rev. A, 89:3 (2014)  crossref
    17. Oktay Veliev, “Asymptotic analysis of non-self-adjoint Hill operators”, Open Mathematics, 11:12 (2013)  crossref
    18. Ahmet Batal, “Characterization of potential smoothness and the Riesz basis property of the Hill–Schrödinger operator in terms of periodic, antiperiodic and Neumann spectra”, Journal of Mathematical Analysis and Applications, 405:2 (2013), 453  crossref
    19. Ali Mostafazadeh, “Invisibility andPTsymmetry”, Phys. Rev. A, 87:1 (2013)  crossref
    20. Djakov P., Mityagin B., “Criteria for Existence of Riesz Bases Consisting of Root Functions of Hill and 1D Dirac Operators”, J. Funct. Anal., 263:8 (2012), 2300–2332  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
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    Функциональный анализ и его приложения Functional Analysis and Its Applications
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