Solvability of first order functional differential operators

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

JOURNAL OF MATHEMATICAL CHEMISTRY, vol.53, no.9, pp.2065-2077, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 53 Issue: 9
  • Publication Date: 2015
  • Doi Number: 10.1007/s10910-015-0534-2
  • Journal Name: JOURNAL OF MATHEMATICAL CHEMISTRY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2065-2077
  • Karadeniz Technical University Affiliated: Yes

Abstract

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.