The determinants of dissipative Sturm-Liouville operators with transmission conditions

BAYRAM E., Ugurlu E.

MATHEMATICAL AND COMPUTER MODELLING, cilt.53, sa.5-6, ss.805-813, 2011 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 53 Sayı: 5-6
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.mcm.2010.10.017
  • Dergi Adı: MATHEMATICAL AND COMPUTER MODELLING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.805-813
  • Anahtar Kelimeler: Dissipative operators, Transmission condition, Eigenvalue problem, BOUNDARY-VALUE PROBLEM
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we study the determinant of perturbation connected with the dissipative operator L generated in L(2)(I) by (1.1)-(1.5). Then using Livsic's theorem, we investigate the problem of completeness of the system of eigenfunctions and associated functions of L. (C) 2010 Elsevier Ltd. All rights reserved.