We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Non-self-adjoint Bessel and Sturm-Liouville boundary value problems in limit-circle case.
- Authors
Allahverdiev, Bilender P.
- Abstract
It is shown in the limit-circle case that system of root functions of the non-self-adjoint maximal dissipative (accumulative) Bessel operator and its perturbation Sturm-Liouville operator form a complete system in the Hilbert space. Furthermore, asymptotic behavior of the eigenvalues of the maximal dissipative (accumulative) Bessel operators is investigated, and it is proved that system of root functions form a basis (Riesz and Bari bases) in the same Hilbert space. Copyright © 2014 John Wiley & Sons, Ltd.
- Subjects
NONSELFADJOINT operators; BESSEL functions; STURM-Liouville equation; BOUNDARY value problems; RIESZ spaces
- Publication
Mathematical Methods in the Applied Sciences, 2015, Vol 38, Issue 7, p1273
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.3144