BOUNDED SOLVABILITY OF MIXED-TYPE FUNCTIONAL DIFFERENTIAL OPERATIONS FOR FIRST ORDER


YILMAZ B., İSMAİLOV Z.

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016 (Journal Indexed in SCI) identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2016
  • Title of Journal : ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

Abstract

In this article, we study all boundedly solvable extensions generated by linear mixed-type (forward-backward) functional differential-operator expressions of first order in the Hilbert space of vector-functions on a finite interval. Our main tools are methods of operator theory. Also we study the structure of the spectrum of these extensions.