Eigenvalue problems for a non-self-adjoint Bessel-type operators in limit-point case
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.37, sa.18, ss.2946-2951, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 37 Sayı: 18
- Basım Tarihi: 2014
- Doi Numarası: 10.1002/mma.3032
- Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.2946-2951
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
It is shown in the Weyl limit-point case that system of root functions of the non-self-adjoint Bessel operator and its perturbation Sturm-Liouville operator form a complete system in the Hilbert space. Furthermore, asymptotic behavior of the eigenvalues of the non-self-adjoint Bessel operators is investigated, and it is proved that system of root functions form a Bari basis in the same Hilbert space. Copyright (c) 2013 John Wiley & Sons, Ltd.