2019
Том 71
№ 11

### All Issues

Articles: 3
Article (Russian)

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

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

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

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.