Ph.D. Tezi Görüntüleme

Student:	Elif BAŞKAYA
Supervisor:	Prof. Dr. Haskız COŞKUN
Department:	Matematik
Institution:	Graduate School of Natural and Applied Sciences
University:	Karadeniz Technical University Turkey

Title of the Thesis:	Regular Sturm-Liouville Problems with Eigenvalue Parameter in the Boundary Conditions
Level:	Ph.D.
Acceptance Date:	25/4/2013
Number of Pages:	128
Registration Number:	Di952

Summary:

In this thesis, some asymptotic estimates are obtained for the eigenvalues of regular Sturm-Liouville problems with eigenvalue parameter in the boundary conditions with different choices of potential function.

In the first part, Sturm-Liouville problem and related theory are introduced, some important theorems are stated without proof. Also, some examples of the related problems arising from physical phenomena which emphasize the importance of this study are given.

In the second part, the method is presented and estimated eigenvalues are evaluated when potential function is integrable and differentiable. Finally, derivative of spectral function of the problem is investigated.

Key Words: Regular Sturm-Liouville Problems, Eigenvalue Parameter, Asymptotic Estimates,

Derivative of Spectral Function