A counterexample to completeness properties for indefinite Sturm-Liouville problems

Mathematische Nachrichten

Volumn 190, Issue , 1998, Pages 123-128

  Fleige, Andreas ^a  

^a UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

Riesz basis; Sturm Liouville problems

Indexed keywords

EID: 0040684085     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/mana.19981900106     Document Type: Article

References (8)

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3. ĆURGUS, B., and LANGER, H.: A Krein Space Approach to Symmetric Ordinary Differential Operators with an Indefinite Weight Function, J. Differential Equations 79 (1989), 31-61
4. FLEIGE, A.: The "Turning Point Condition" of Beals for Indefinite Sturm-Liouville Problems, Math. Nachr. 172 (1995), 109-112
5. GOHBERG, I. C., and KREIN, M. G.: Introduction to the Theory of Linear Nonselfadjoint Operators, Translations of Mathematical Monographs, Vol. 18, Am. Math. Soc., Providence, R. I., 1969
6. PYATKOV, S. G.: Certain Properties of Eigenfunctions of Linear Pencils, Mathematical Notes 51 (1992), 90-95
7. PYATKOV, S. G.: Elliptic Eigenvalue Problems with an Indefinite Weight Function, Siberian Advances in Mathematics Vol. 4, N. 2 (1994), 87-121
8. VOLKMER, H.: Sturm-Liouville Problems with Indefinite Weights and Everitt's Inequality, Proceedings of the Royal Society of Edinburgh 126A (1996), 1097-1112