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New Type of Sturm-Liouville Problems in Associated Hilbert Spaces
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-16
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We introduce a new type of discontinuous Sturm-Liouville problems, involving an abstract linear operator in equation.
By suggesting own approaches we define some new Hilbert spaces to establish such properties as isomorphism, coerciveness, and maximal decreasing of resolvent operator with respect to spectral parameter.
Then we find sufficient conditions for discreteness of the spectrum and examine asymptotic behaviour of eigenvalues.
Obtained results are new even for continuous case, that is, without transmission conditions.
American Psychological Association (APA)
Mukhtarov, O. Sh.& Aydemir, K.. 2014. New Type of Sturm-Liouville Problems in Associated Hilbert Spaces. Journal of Function Spaces،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1040691
Modern Language Association (MLA)
Mukhtarov, O. Sh.& Aydemir, K.. New Type of Sturm-Liouville Problems in Associated Hilbert Spaces. Journal of Function Spaces No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1040691
American Medical Association (AMA)
Mukhtarov, O. Sh.& Aydemir, K.. New Type of Sturm-Liouville Problems in Associated Hilbert Spaces. Journal of Function Spaces. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1040691
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1040691