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AuthorAnnaby, Mahmoud H.
AuthorMansour, Zeinab S.
Available date2015-11-05T07:03:40Z
Publication Date2011
Publication NameMathematische Nachrichten
CitationAnnaby, M. H. and Mansour, Z. S. (2011), Asymptotic formulae for eigenvalues and eigenfunctions ofq-Sturm-Liouville problems. Math. Nachr., 284:�443�470
ISSN1522-2616
URIhttp://dx.doi.org/10.1002/mana.200810037
URIhttp://hdl.handle.net/10576/3641
AbstractWe investigate the asymptotic behavior of the eigenvalues and the eigenfunctions of q-Sturm-Liouville eigenvalue problems. For this aim we study the asymptotic behavior of q-trigonometric functions as well as fundamental sets of solutions of the associated second order q-difference equation. As in classical Sturm-Liouville theory, the eigenvalues behave like zeros of q-trigonometric functions and the eigenfunctions behave like q-trigonometric functions.
Languageen
PublisherWILEY-VCH Verlag
SubjectSturm-Liouville systems
Subjectq-difference equations
Subjecttheta functions
Subjectq-series
TitleAsymptotic formulae for eigenvalues and eigenfunctions of q-Sturm-Liouville problems
TypeArticle
Issue Number4
Volume Number284


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