Shavala O. Some properties of linear differential equations of the second order with meromorphic coefficients

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0409U001150

Thesis Registration Form

0409U001150.pdf

Applicant for

Shavala Olena Vasylivna

Specialization

01.01.01 - Математичний аналіз

Date of defense

05-03-2009

Specialized Academic Board

Д 35.051.18

Ivan Franko National University of Lviv

Essay

In dissertation description of sequences of complex points is given, which can be sequences of zeros of holomorphic solution of equation f''+a(z)f=0. It is investigated conditions, when linear differential equation of the second order with meromorphic coefficients has holomorphic and bounded solutions in a unit disk. An approximation properties of systems of first kind Bessel function of order -3/2 and -5/2 are found out.

Thesis supervisor

Vynnyts'kyi Bohdan Vasyljovych

Official opponents

Мохонько Анатолій Захарович
Гринів Ростислав Олегович

Files

aref.doc

diss1.doc

diss2.doc

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