Krein's Theorem for the Dissipative Operators with Finite Impulsive Effects

Ugurlu E., BAYRAM E.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, cilt.36, sa.2, ss.256-270, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 2
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1080/01630563.2014.970642
  • Dergi Adı: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.256-270
  • Anahtar Kelimeler: 34B20, 34B24, 34B37, Dissipative operators, Krein's theorem, Impulsive condition, Completeness, STURM-LIOUVILLE PROBLEMS, BOUNDARY-VALUE PROBLEM, LIMIT-CIRCLE CRITERIA, TRANSMISSION CONDITIONS
  • Ankara Üniversitesi Adresli: Evet

Özet

In this article, singular dissipative operators with finite impulsive conditions are investigated. In particular, after passing to the inverse operators, it is obtained that the imaginary parts of the inverse operators are nuclear. Finally, using Krein's theorem, it is proved that all root vectors of the singular dissipative operators with finite impulsive conditions are complete in the Hilbert space.