Molyboga V. The spectra of periodic problems with distributions

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0405U002799

Thesis Registration Form

0405U002799.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

21-06-2005

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

In dissertation on the classes of 1-periodic distributions the spectral problems are investigated. Using the isospectral transformation method the uniform on the classes of 1-periodic distributions the non-asymptotic (effective) and asymptotic estimates for eigenvalues are proved. Obtained results are used for investigation spectral properties of the 1-D periodic self-adjoint Schrodinger operator.

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