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Matematicheskie Zametki, 1998, Volume 64, Issue 4, Pages 558–563
DOI: https://doi.org/10.4213/mzm1430 (Mi mzm1430) 		 
This article is cited in 47 scientific papers (total in 47 papers)

On the Riesz basis property of the root functions in certain regular boundary value problems

N. B. Kerimov, Kh. R. Mamedov

M. V. Lomonosov Moscow State University
Full-text PDF (153 kB) Citations (47)
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DOI: https://doi.org/10.4213/mzm1430
Abstract: The differential operator $ly=y''+q(x)y$ with periodic (antiperiodic) boundary conditions that are not strongly regular is studied. It is assumed that $q(x)$ is a complex-valued function of class $C^{(4)}[0,1]$ and $q(0)\ne q(1)$. We prove that the system of root functions of this operator forms a Riesz basis in the space $L_2(0,1)$.
Received: 29.04.1996
Revised: 01.04.1998
English version:
Mathematical Notes, 1998, Volume 64, Issue 4, Pages 483–487
DOI: https://doi.org/10.1007/BF02314629
Bibliographic databases:
UDC: 517.984
Language: Russian
Citation: N. B. Kerimov, Kh. R. Mamedov, “On the Riesz basis property of the root functions in certain regular boundary value problems”, Mat. Zametki, 64:4 (1998), 558–563; Math. Notes, 64:4 (1998), 483–487
Citation in format AMSBIB
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    • This publication is cited in the following 47 articles:
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