Solvability of first order functional differential operators

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

JOURNAL OF MATHEMATICAL CHEMISTRY, cilt.53, sa.9, ss.2065-2077, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 53 Sayı: 9
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s10910-015-0534-2
  • Dergi Adı: JOURNAL OF MATHEMATICAL CHEMISTRY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2065-2077
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

By using the methods of operator theory, all boundedly solvable extensions of minimal operator generated by first order functional differential-operator expression in the Hilbert space of vector-functions on finite interval have been described. The operator framework is also applied to the study of structure of spectrums of these extensions. Applications of obtained results to the concrete models are illustrated.