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Matematicheskie Zametki, 2007, Volume 81, Issue 4, Pages 496–506
DOI: https://doi.org/10.4213/mzm3704 (Mi mzm3704) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Non-Self-Adjoint Sturm–Liouville Operators with Matrix Potentials

O. A. Veliev

Dogus University
Full-text PDF (455 kB) Citations (15)
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DOI: https://doi.org/10.4213/mzm3704
Abstract: We obtain asymptotic formulas for non-self-adjoint operators generated by the Sturm–Liouville system and quasiperiodic boundary conditions. Using these asymptotic formulas, we obtain conditions on the potential for which the system of root vectors of the operator under consideration forms a Riesz basis.
Keywords: Sturm–Liouville operator, non-self-adjoint operator, quasiperiodic boundary condition, Riesz basis, root function, Jordan chain, Bessel operator.
Received: 05.08.2005
English version:
Mathematical Notes, 2007, Volume 81, Issue 4, Pages 440–448
DOI: https://doi.org/10.1134/S0001434607030200
Bibliographic databases:
UDC: 517.953
Language: Russian
Citation: O. A. Veliev, “Non-Self-Adjoint Sturm–Liouville Operators with Matrix Potentials”, Mat. Zametki, 81:4 (2007), 496–506; Math. Notes, 81:4 (2007), 440–448
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
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