NORMAL EXTENSIONS OF A SINGULAR MULTIPOINT DIFFERENTIAL OPERATOR OF FIRST ORDER

İSMAİLOV Z., Mert R. O.

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2012
  • Journal Name: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this work, we describe all normal extensions of the minimal operator generated by linear singular multipoint formally normal differential expression l - (l(1), l(2), l(3)), l(k) - d/dt + A(k) with selfadjoint operator coefficients A(k) in a Hilbert space. This is done as a direct sum of Hilbert spaces of vector-functions