| Summary: In this thesis, firstly all boundedly solvable extensions of the minimal operator generated by first order linear pantograph type delay differential-operator expression are described in terms of boundary values in Hilbert space of vector-functions defined on finite interval and structure of spectrum of such extensions is investigated. Later on, this research is generalized to first order multipoint linear pantograph type delay differential-operator expression. The results which have been obtained in this thesis are supported by examples.
Key Words: Minimal and maximal operators, Second and multipoint linear pantograph type delay differential expression and operators, Hilbert space, Hilbert space of vector-functions and the direct sum of Hilbert spaces, Operator, Boundedly solvable operator, Spectrum and resolvent sets |
