Non-self-adjoint Bessel and Sturm-Liouville boundary value problems in limit-circle case
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.38, sa.7, ss.1273-1281, 2015 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 38 Sayı: 7
- Basım Tarihi: 2015
- Doi Numarası: 10.1002/mma.3144
- Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1273-1281
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
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 (c) 2014 John Wiley & Sons, Ltd.