Kh. K. Ishkin, “Localization criterion for the spectrum of the Sturm–Liouville operator on a curve”, Algebra i Analiz, 28:1 (2016), 52–88; St. Petersburg Math. J., 28:1 (2017), 37

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Algebra i Analiz, 2016, Volume 28, Issue 1, Pages 52–88 (Mi aa1479)

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

Research Papers

Localization criterion for the spectrum of the Sturm–Liouville operator on a curve

Kh. K. Ishkin

Bashkir State University, Ufa, Russia

Full-text PDF (393 kB) Citations (15)

References:

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Funding agency	Grant number
Ministry of Education and Science of the Russian Federation	01201456408
Russian Foundation for Basic Research	15-01-01095

Received: 06.02.2014

English version:
St. Petersburg Mathematical Journal, 2017, Volume 28, Issue 1, Pages 37–63
DOI: https://doi.org/10.1090/spmj/1438

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: Kh. K. Ishkin, “Localization criterion for the spectrum of the Sturm–Liouville operator on a curve”, Algebra i Analiz, 28:1 (2016), 52–88; St. Petersburg Math. J., 28:1 (2017), 37–63

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Linking options:

https://www.mathnet.ru/eng/aa1479

https://www.mathnet.ru/eng/aa/v28/i1/p52

This publication is cited in the following 15 articles:

A. A. Golubkov, “Regulyarnaya tsiklicheskaya matritsa izolirovannoi osoboi tochki
uravneniya Shturma—Liuvillya standartnogo vida”, Materialy Voronezhskoi mezhdunarodnoi vesennei matematicheskoi shkoly «Sovremennye metody kraevykh zadach. Pontryaginskie chteniya—XXXIV», Voronezh, 3-9 maya 2023 g. Chast 4, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 233, VINITI RAN, M., 2024, 3–13
A. A. Golubkov, “Obratnaya zadacha dlya operatorov Shturma — Liuvillya c kucochno-tselym potentsialom i usloviyami razryva reshenii na krivoi”, Sib. matem. zhurn., 64:3 (2023), 486–499
A. A. Golubkov, “An Inverse Problem for Sturm–Liouville Operators with a Piecewise Entire Potential and Discontinuity Conditions of Solutions on a Curve”, Sib Math J, 64:3 (2023), 542
Kh. Ishkin, L. Davletova, “An Analogue of the Gelfand–Levitan Trace Formula for the Sturm–Liouville Operator with a Meromorphic Potential”, Lobachevskii J Math, 43:6 (2022), 1519
A. A. Golubkov, “Spektr operatora Shturma—Liuvillya na krivoi s parametrom v kraevykh usloviyakh i usloviyakh razryvov reshenii”, Materialy Voronezhskoi vesennei matematicheskoi shkoly «Sovremennye metody teorii kraevykh zadach. Pontryaginskie chteniya–XXX». Voronezh, 3–9 maya 2019 g. Chast 4, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 193, VINITI RAN, M., 2021, 45–68
A. A. Golubkov, “Inverse problem for the Sturm–Liouville equation with piecewise entire potential and piecewise constant weight on a curve”, Sib. elektron. matem. izv., 18:2 (2021), 951–974
Kh. Ishkin, R. Marvanov, “On the class of potentials with trivial monodromy”, Lobachevskii J. Math., 42:6, SI (2021), 1166–1174
Kh. K. Ishkin, R. I. Marvanov, “Equivalence criterion for two asymptotic formulae”, Ufa Math. J., 12:1 (2020), 30–42
Kh. K. Ishkin, R. I. Marvanov, “On localization conditions for spectrum of model operator for Orr–Sommerfeld equation”, Ufa Math. J., 12:4 (2020), 64–77
Kh. K. Ishkin, L. G. Davletova, “Regularized trace of a Sturm-Liouville operator on a curve with a regular singularity on the chord”, Differ. Equ., 56:10 (2020), 1257–1269
A. A. Golubkov, “Kraevaya zadacha dlya uravneniya Shturma—Liuvillya s kusochno-tselym potentsialom na krivoi i usloviyami razryva reshenii”, Sib. elektron. matem. izv., 16 (2019), 1005–1027
A. A. Golubkov, Yu. V. Kuryshova, “Inverse problem for Sturm-Liouville operators on a curve”, Tamkang J. Math., 50:3, SI (2019), 349–359
Kh. K. Ishkin, “Conditions of spectrum localization for operators not close to self-adjoint operators”, Dokl. Math., 97:2 (2018), 170–173
A. A. Golubkov, “Obratnaya zadacha dlya operatorov Shturma–Liuvillya v kompleksnoi ploskosti”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 18:2 (2018), 144–156
Kh. K. Ishkin, A. V. Rezbayev, “On the Davies Formula for the Distribution of Eigenvalues of a Non-Self-Adjoint Differential Operator”, J. Math. Sci. (N. Y.), 252:3 (2021), 374–383

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	128
References:	95
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