On the Riesz basis property of the eigen- and associated functions of periodic and antiperiodic Sturm-Liouville problems

Mathematical Notes ◽

10.1134/s0001434609050058 ◽

2009 ◽

Vol 85 (5-6) ◽

pp. 647-660 ◽

Author(s):

A. A. Shkalikov ◽

O. A. Veliev

Keyword(s):

Riesz Basis ◽

Basis Property ◽

Riesz Basis Property ◽

Associated Functions ◽

Sturm Liouville

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Riesz basis property of the system of eigenfunctions for a non-linear problem of Sturm-Liouville type

Sbornik Mathematics ◽

10.1070/sm2000v191n03abeh000461 ◽

2000 ◽

Vol 191 (3) ◽

pp. 359-368 ◽

Author(s):

P E Zhidkov

Keyword(s):

Riesz Basis ◽

Linear Problem ◽

Basis Property ◽

Liouville Type ◽

Riesz Basis Property ◽

Sturm Liouville

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Necessary and sufficient conditions for the Riesz basis property of the eigen- and associated functions of high-order differential operators on an interval

Doklady Mathematics ◽

10.1134/s1064562408020336 ◽

2008 ◽

Vol 77 (2) ◽

pp. 290-292 ◽

Author(s):

A. M. Sarsenbi

Keyword(s):

Riesz Basis ◽

Differential Operators ◽

Sufficient Conditions ◽

Basis Property ◽

Necessary And Sufficient Conditions ◽

Riesz Basis Property ◽

Associated Functions ◽

Necessary And Sufficient

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A review of a Riesz basis property for indefinite Sturm-Liouville problems

Operators and Matrices ◽

10.7153/oam-05-52 ◽

2011 ◽

pp. 735-755 ◽

Author(s):

Paul A. Binding ◽

Andreas Fleige

Keyword(s):

Riesz Basis ◽

Basis Property ◽

Riesz Basis Property ◽

Sturm Liouville

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The Riesz Basis Property of an Indefinite Sturm–Liouville Problem with Non-Separated Boundary Conditions

Integral Equations and Operator Theory ◽

10.1007/s00020-013-2093-x ◽

2013 ◽

Vol 77 (4) ◽

pp. 533-557 ◽

Author(s):

Branko Ćurgus ◽

Andreas Fleige ◽

Aleksey Kostenko

Keyword(s):

Boundary Conditions ◽

Riesz Basis ◽

Liouville Problem ◽

Basis Property ◽

Riesz Basis Property ◽

Separated Boundary Conditions ◽

Sturm Liouville

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On a necessary aspect for the Riesz basis property for indefinite Sturm-Liouville problems

Mathematische Nachrichten ◽

10.1002/mana.201300104 ◽

2014 ◽

Vol 287 (14-15) ◽

pp. 1710-1732 ◽

Author(s):

Aleksey Kostenko

Keyword(s):

Riesz Basis ◽

Basis Property ◽

Riesz Basis Property ◽

Sturm Liouville

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The Riesz Basis Property of an Indefinite Sturm-Liouville Problem with a Non-Odd Weight Function

Integral Equations and Operator Theory ◽

10.1007/s00020-007-1545-6 ◽

2007 ◽

Vol 60 (2) ◽

pp. 237-246 ◽

Author(s):

Andreas Fleige

Keyword(s):

Weight Function ◽

Riesz Basis ◽

Liouville Problem ◽

Basis Property ◽

Riesz Basis Property ◽

Sturm Liouville

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Conditions for an Indefinite Sturm-Liouville Riesz Basis Property

Recent Advances in Operator Theory in Hilbert and Krein Spaces ◽

10.1007/978-3-0346-0180-1_6 ◽

2009 ◽

pp. 87-95 ◽

Author(s):

Paul Binding ◽

Andreas Fleige

Keyword(s):

Riesz Basis ◽

Basis Property ◽

Riesz Basis Property ◽

Sturm Liouville

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Completeness and Riesz basis property of systems of eigenfunctions and associated functions of Dirac-type operators with boundary conditions depending on the spectral parameter

Mathematical Notes ◽

10.1007/s11006-006-0067-x ◽

2006 ◽

Vol 79 (3-4) ◽

pp. 589-593 ◽

Author(s):

L. L. Oridoroga ◽

S. Hassi

Keyword(s):

Boundary Conditions ◽

Spectral Parameter ◽

Riesz Basis ◽

Basis Property ◽

Riesz Basis Property ◽

Associated Functions ◽

Eigenfunctions And Associated Functions

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A Necessary Aspect of the Generalized Beals Condition for the Riesz Basis Property of Indefinite Sturm-Liouville Problems

Operator Theory in Inner Product Spaces - Operator Theory: Advances and Applications ◽

10.1007/978-3-7643-8270-4_5 ◽

2007 ◽

pp. 89-94 ◽

Author(s):

Andreas Fleige

Keyword(s):

Riesz Basis ◽

Basis Property ◽

Riesz Basis Property ◽

Sturm Liouville

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A criterion of Riesz basis property for L2 space

10.1063/1.4854776 ◽

2013 ◽

Author(s):

A. M. Sarsenbi

Keyword(s):

Riesz Basis ◽

Basis Property ◽

Riesz Basis Property

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