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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

Characterization of the potential smoothness of one-dimensional Dirac operator subject to general boundary conditions and its Riesz basis property

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2016.09.068 ◽

2017 ◽

Vol 447 (1) ◽

pp. 84-108 ◽

Author(s):

İlker Arslan

Keyword(s):

Dirac Operator ◽

Boundary Conditions ◽

Riesz Basis ◽

Basis Property ◽

General Boundary ◽

General Boundary Conditions ◽

One Dimensional ◽

Riesz Basis Property

Download Full-text

Riesz basis property of weak eigenfunctions for boundary-value problem with discontinuities at two interior points

10.1063/1.4981680 ◽

2017 ◽

Author(s):

H. Olğar ◽

O. Sh. Mukhtarov ◽

K. Aydemir

Keyword(s):

Boundary Value Problem ◽

Riesz Basis ◽

Boundary Value ◽

Basis Property ◽

Riesz Basis Property ◽

Interior Points

Download Full-text