Solvable time-delay differential operators for first order and their spectrums

Ismailov Z. I., Guler B. O., Ipek P.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.45, sa.3, ss.755-764, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 3
  • Basım Tarihi: 2016
  • Doi Numarası: 10.15672/hjms.20164513098
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.755-764
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this work, firstly based on the M.I. Vishik's results and using methods of operator theory all solvable extensions of a minimal operator generated by linear delay differential-operator expression of first order in the Hilbert space of vector-functions in finite interval are described. Later on, sharp formulas for the spectrums of these solvable extensions have been found. Finally, the obtained results has been supported by applications.