Solvability of first order functional differential operators


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

JOURNAL OF MATHEMATICAL CHEMISTRY, cilt.53, ss.2065-2077, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 53 Konu: 9
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s10910-015-0534-2
  • Dergi Adı: JOURNAL OF MATHEMATICAL CHEMISTRY
  • Sayfa Sayıları: ss.2065-2077

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.