E. A. Shiryaev, A. A. Shkalikov, “Regular and Completely Regular Differential Operators”, Mat. Zametki, 81:4 (2007), 636–640; Math. Notes, 81:4 (2007), 566

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Matematicheskie Zametki, 2007, Volume 81, Issue 4, Pages 636–640
DOI: https://doi.org/10.4213/mzm3708 (Mi mzm3708)

This article is cited in 14 scientific papers (total in 14 papers)

Brief Communications

Regular and Completely Regular Differential Operators

E. A. Shiryaev, A. A. Shkalikov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Full-text PDF (304 kB) Citations (14)

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DOI: https://doi.org/10.4213/mzm3708

Keywords: ordinary differential operator, Birkhoff regularity, complete regularity, eigenfunction expansion theorem, Green kernel.

Received: 10.11.2006

English version:
Mathematical Notes, 2007, Volume 81, Issue 4, Pages 566–570
DOI: https://doi.org/10.1134/S0001434607030352

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: E. A. Shiryaev, A. A. Shkalikov, “Regular and Completely Regular Differential Operators”, Mat. Zametki, 81:4 (2007), 636–640; Math. Notes, 81:4 (2007), 566–570

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This publication is cited in the following 14 articles:

Akhtyamov A.M., “Nonexistence of Degenerate Boundary Conditions in a Spectral Problem”, Differ. Equ., 57:1 (2021), 117–121
A. M. Akhtyamov, “O konechnom spektre trekhtochechnykh kraevykh zadach”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 13:2 (2020), 130–135
Ya. O. Baranetskij, P. I. Kalenyuk, “Nonlocal Multipoint Problem with Multiple Spectrum for an Ordinary (2n)TH Order Differential Equation”, J Math Sci, 246:2 (2020), 152
Akhtyamov A.M., “Finiteness of the Spectrum of Boundary Value Problems”, Differ. Equ., 55:1 (2019), 142–144
Sadovnichii V.A. Sultanaev Ya.T. Akhtyamov A.M., “Degenerate Boundary Conditions For the Sturm-Liouville Problem on a Geometric Graph”, Differ. Equ., 55:4 (2019), 500–509
Sadovnichii V.A. Sultanaev Ya.T. Akhtyamov A.M., “Degenerate Boundary Conditions on a Geometric Graph”, Dokl. Math., 99:2 (2019), 167–170
V. A. Sadovnichii, Ya. T. Sultanaev, A. M. Akhtyamov, “The finiteness of the spectrum of boundary value problems defined on a geometric graph”, Trans. Moscow Math. Soc., 80 (2019), 123–131
A. M. Akhtyamov, “Survey of studies on degenerate boundary conditions and finite spectrum”, Proceedings of the Mavlyutov Institute of Mechanics, 14:3 (2019), 184–291
A. M. Akhtyamov, “Degenerate boundary conditions for a third-order differential equation”, Differ. Equ., 54:4 (2018), 419–426
Baranets'kyi Ya.O. Kalenyuk P.I. Kolyasa L.I., “Spectral Properties of Nonself-Adjoint Nonlocal Boundary-Value Problems For the Operator of Differentiation of Even Order”, Ukr. Math. J., 70:6 (2018), 851–865
A. M. Akhtyamov, “On the Spectrum of an Odd-Order Differential Operator”, Math. Notes, 101:5 (2017), 755–758
Freiling G., “Irregular boundary value problems revisited”, Results Math., 62:3-4 (2012), 265–294
Gesztesy F. Tkachenko V., “A Schauder and Riesz basis criterion for non-self-adjoint Schrödinger operators with periodic and antiperiodic boundary conditions”, J. Differential Equations, 253:2 (2012), 400–437
Yu. V. Pokornyi, M. B. Zvereva, S. A. Shabrov, “Sturm–Liouville oscillation theory for impulsive problems”, Russian Math. Surveys, 63:1 (2008), 109–153

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

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