Deficiency indices and spectrum of fourth order difference equations with unbounded coefficients

Using subspace theory together with appropriate smoothness and decay conditions, we calculated the deficiency indices and absolutely continuous spectrum of fourth order difference equations with unbounded coefficients. In particular, we found the absolutely continuous spectrum to be \documentclass{a...

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Bibliographic Details
Published inMathematische Nachrichten Vol. 286; no. 4; pp. 323 - 339
Main Authors Agure, John Ogonji, Ambogo, David Otieno, Nyamwala, Fredrick Oluoch
Format Journal Article
LanguageEnglish
French
German
Published Germany WILEY-VCH Verlag 01.03.2013
WILEY‐VCH Verlag
Wiley Subscription Services, Inc
Subjects
absolutely continuous spectrum
deficiency indices
Eigenvalues
MSC Primary: 39A20
Secondary: 47A55
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Summary:Using subspace theory together with appropriate smoothness and decay conditions, we calculated the deficiency indices and absolutely continuous spectrum of fourth order difference equations with unbounded coefficients. In particular, we found the absolutely continuous spectrum to be \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}${\mathbb {R}}$\end{document} with a spectral multiplicity one.
Bibliography:ArticleID:MANA201200161
istex:9582756AD5C78BC85988F7422AFCAB5A0005F761
ark:/67375/WNG-C0W39JS9-3
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Phone: +254 723 843 943, Fax: +254 57 351221
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.201200161