Krein's Theorems for a Dissipative Boundary Value Transmission Problem

BAYRAM E., Ugurlu E.

COMPLEX ANALYSIS AND OPERATOR THEORY, cilt.7, sa.4, ss.831-842, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 4
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1007/s11785-011-0180-z
  • Dergi Adı: COMPLEX ANALYSIS AND OPERATOR THEORY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.831-842
  • Anahtar Kelimeler: Boundary value problem, Transmission condition, Eigenvalue problem, Krein's theorem, OPERATORS
  • Ankara Üniversitesi Adresli: Evet

Özet

Let us consider the differential expression where c is a transmission point and is regular for the differential expression a""(y). We assume that Weyl's limit-circle case holds for the differential expression a""(y) on I. In this paper, using Krein's theorems, we investigate the completeness of the root vectors of a singular dissipative boundary value transmission problem generated by a""(y).