Herasymchuk V. Discontinuities and oscillations of separately differentiable functions

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0409U001013

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

13-02-2009

Specialized Academic Board

Д 35.051.18

Ivan Franko National University of Lviv

Essay

In the thesis the discontinuity point sets and the oscillations of separately differentiable functions are studied. In particular, the discontinuous point sets and the oscillations of separately continuously differentiable and locally Lipschitz functions, and also the discontinuity point sets of separately differentiable functions, separately pointwise Lipschitz functions, CD-functions and CL-functions are characterized.

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