Yavors'kyj Y. Nonstandard Difference Sturm - Liouville operator

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0400U002019

Thesis Registration Form

0400U002019.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

29-06-2000

Specialized Academic Board

Д 35.051.07

Ivan Franko National University of Lviv

Essay

In the paper one consider spectral properties of a singular nonselfadjoint Sturm - Liouville operator. In the spectrum continuous and discrete parts are revealed. The asymptotical behaviour of eigenvalues and fundamental functions is described. The estimates, that have been obtained, allow to define shadows of objects under consideration. An essential analogy with properties of Naimark's singular nonselfadjoint differential operator can be observed.

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