Puyda D. Direct and inverse spectral problems for Dirac operators on a finite interval.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0414U003365

Thesis Registration Form

0414U003365.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

23-05-2014

Specialized Academic Board

К 20.051.09

Kolomyia Educational-Scientific Institute The Vasyl Stefanyk Precarpathian National University

Essay

The dissertation is devoted to solving the direct and inverse spectral problems for self-adjoint Dirac operators on a finite interval with matrix-valued potentials. For such operators, we introduce the notion of the spectral data - eigenvalues and suitably defined norming matrices. We then provide a complete description of the class of the spectral data, prove that the operator is uniquely determined by the spectral data and suggest how to find the operator from the spectral data using the Krein accelerant method.

Read more

Files

aref.doc

dis.pdf

Similar theses

0524U000127

Andrii O. Kuryliak

Asymptotic properties and value distribution of random analytic functions.

0821U101801

Petrova Iryna Leonidivna

"Interpolatory estimates for comonotone approximation

0421U102744

Volkov Sergiy V

To the theory of boundary behavior of mappings on Riemann surfaces

0421U102723

Petkov Ihor Vasylovich

The boundary behavior of solutions and the Dirichlet problem for the Beltrami equations

0421U102684

Holubchak Oleh Mykhailovych

Operators on Hilbert spaces of symmetric analytic functions on a Banach space with a symmetric structure.