SOLVABILITY OF MULTIPOINT DIFFERENTIAL OPERATORS OF FIRST ORDER

İSMAİLOV Z., İPEK AL P.

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2015
  • Journal Name: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Karadeniz Technical University Affiliated: Yes

Abstract

Based on methods of operator theory, we describe all boundedly solvable extensions of the minimal operator generated by a linear multipoint functional differential-operator expression of first order, in a direct sum of Hilbert space of vector-functions. We also study the structure of spectrum of these extensions.