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Algebra i Analiz, 2015, Volume 27, Issue 5, Pages 117–152 (Mi aa1457)  

This article is cited in 8 scientific papers (total in 8 papers)

Research Papers

Spectral analysis of a fourth order differential operator with periodic and antiperiodic boundary conditions

D. M. Polyakov

Research Institute for Mathematics, Voronezh State University, Voronezh, Russia

Full text: PDF file (366 kB)
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English version:
St. Petersburg Mathematical Journal, 2016, 27:5, 789–811

Bibliographic databases:

Received: 21.10.2014

Citation: D. M. Polyakov, “Spectral analysis of a fourth order differential operator with periodic and antiperiodic boundary conditions”, Algebra i Analiz, 27:5 (2015), 117–152; St. Petersburg Math. J., 27:5 (2016), 789–811

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. G. Baskakov, D. M. Polyakov, “Spectral Properties of the Hill Operator”, Math. Notes, 99:4 (2016), 598–602  mathnet  crossref  crossref  mathscinet  isi  elib
    2. Polyakov D.M., “Spectral properties of an even-order differential operator”, Differ. Equ., 52:8 (2016), 1098–1103  crossref  mathscinet  zmath  isi  elib  scopus
    3. A. G. Baskakov, D. M. Polyakov, “The method of similar operators in the spectral analysis of the Hill operator with nonsmooth potential”, Sb. Math., 208:1 (2017), 1–43  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    4. D. M. Polyakov, “A one-dimensional Schrödinger operator with square-integrable potential”, Siberian Math. J., 59:3 (2018), 470–485  mathnet  crossref  crossref  isi  elib
    5. A. G. Baskakov, N. B. Uskova, “Fourier method for first order differential equations with involution and groups of operators”, Ufa Math. J., 10:3 (2018), 11–34  mathnet  crossref  isi
    6. D. M. Polyakov, “O spektralnykh kharakteristikakh nesamosopryazhennogo operatora chetvertogo poryadka s matrichnymi koeffitsientami”, Matem. zametki, 105:4 (2019), 637–642  mathnet  crossref  elib
    7. 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
    8. N. B. Uskova, “Matrichnyi analiz spektralnykh proektorov vozmuschennykh samosopryazhennykh operatorov”, Sib. elektron. matem. izv., 16 (2019), 369–405  mathnet  crossref
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