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