Ph.D. Tezi Görüntüleme

Student:	Meltem EROL
Supervisor:	Prof.Dr. Zameddin İSMAYİLOV
Department:	Matematik
Institution:	Graduate School of Natural and Applied Sciences
University:	Karadeniz Technical University, Turkey

Title of the Thesis:	One Class of Normal Differential Operators and Some of Their Spectral Problems
Level:	Ph.D.
Acceptance Date:	29/4/2011
Number of Pages:	125
Registration Number:	Di839

Summary:

One Class of Normal Differential Operators

and Some of Their Spectral Problems

In this study, firstly, the general representation of all normal extensions of formally normal minimal operator, generated by linear differential-operator expression of first, second and third-order with selfadjoint operator coefficients, is described in the Hilbert space of vector-functions in a finite interval in terms of boundary values in different versions.

Then, some of spectral properties of these normal extensions are investigated. Additionally, the obtained results are supported by applications.

Key Words: Formally Normal and Normal Operator; Spectrum and Resolvent Sets;

Resolvent Operator; Asymptotical Behavior of Eigenvalues.