2019
Том 71
№ 9

All Issues

Ilmuradov D. D.

Articles: 3
Article (Russian)

Solution of Luzin's category problem on the existence of a primitive function

Ilmuradov D. D.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1994. - 46, № 10. - pp. 1369–1374

N. N. Luzin's problem on the existence of a primitive function is considered. We present a more precise formulation of the solution of this problem obtained by Landis.

Article (Russian)

On differential properties of real functions

Ilmuradov D. D.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1994. - 46, № 7. - pp. 842–848

We study the categorical analog of the Stepanov theorem and new criteria of asymptotic differentiability of real functions.

Article (Ukrainian)

Category theorem on contingencies of hypersurfaces in Euclidean space

Ilmuradov D. D.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1993. - 45, № 3. - pp. 378–383

A thorough investigation of the characteristic of contingency of a second-category set in $ℝ^{m+1}$ is presented. In particular, the graph of a Lipschitz function is studied.