Structure of spectrum of solvable pantograph differential operators for the first order

İSMAİLOV Z., Cevik E. O., GÜLER B. Ö., Ipek P.

2nd International Conference on Analysis and Applied Mathematics (ICAAM), Shymkent, Kazakhstan, 11 - 13 September 2014, vol.1611, pp.89-94 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1611
  • Doi Number: 10.1063/1.4893810
  • City: Shymkent
  • Country: Kazakhstan
  • Page Numbers: pp.89-94
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this work, based on M. I. Visik's result all solvable extensions of the minimal operator generated by the linear pantograph-type delay differential-operator expression for the first order in the Hilbert space of vector-functions at finite interval in terms of boundary values are described. Later on, the structure of spectrum of these extensions is investigated.