2019
Том 71
№ 11

# Trohimchuk Yu. Yu

Articles: 20
Article (Russian)

### Total differential

Ukr. Mat. Zh. - 2017. - 69, № 9. - pp. 1250-1256

We present necessary and sufficient conditions for a continuous differential form to be the total differential.

Anniversaries (Ukrainian)

### Volodymyr Leonidovych Makarov (on his 75th birthday)

Ukr. Mat. Zh. - 2016. - 68, № 12. - pp. 1715-1717

Brief Communications (Russian)

### Jacobian and the Darboux Property

Ukr. Mat. Zh. - 2015. - 67, № 10. - pp. 1439-1440

We present a simple proof of the Darboux property for the Jacobian of a differentiable mapping.

Article (Russian)

### Two Theorems of Complex Analysis

Ukr. Mat. Zh. - 2015. - 67, № 7. - pp. 973-980

We prove two fundamental theorems of multidimensional complex analysis by the methods of this analysis without using the theory of subharmonic functions. As a single violation, we can mention the use of Green’s formula.

Anniversaries (Ukrainian)

### Yurii Stephanovych Samoilenko (on his 70th birthday)

Ukr. Mat. Zh. - 2013. - 65, № 10. - pp. 1408-1409

Article (Russian)

### Mean-Value Theorem

Ukr. Mat. Zh. - 2013. - 65, № 9. - pp. 1276–1282

We propose a new approach to the classical mean-value theorem in which two mean values are used instead of one. This approach is of especial importance for complex functions because there are no available theorems of this kind for these functions.

Anniversaries (Ukrainian)

### Anatolii Mykhailovych Samoilenko (on his 75th birthday)

Ukr. Mat. Zh. - 2013. - 65, № 1. - pp. 3 - 6

Anniversaries (Ukrainian)

### Yurii Ivanovych Samoilenko (on the 80th anniversary of his birthday)

Ukr. Mat. Zh. - 2012. - 64, № 4. - pp. 574-576

Article (Russian)

### Modules of continuity and analytic functions

Ukr. Mat. Zh. - 2010. - 62, № 8. - pp. 1106–1113

For a function analytic in a compact domain and continuous in its closure, it is shown that the modules of continuity on the boundary of the domain and in its closure coincide.

Brief Communications (Ukrainian)

### Denjoy problems

Ukr. Mat. Zh. - 2008. - 60, № 5. - pp. 718–720

We solve Denjoy problems concerning the elimination of singularities of analytic functions of measure zero.

Article (Russian)

### On one criterion for analyticity of functions

Ukr. Mat. Zh. - 2007. - 59, № 10. - pp. 1410–1418

We prove a generalization of the well-known Dzyadyk theorem that gives an interesting geometric criterion for the analyticity of functions.

Anniversaries (Ukrainian)

### On the 90th birthday of Yurii Alekseevich Mitropol’skii

Ukr. Mat. Zh. - 2007. - 59, № 2. - pp. 147–151

Article (Russian)

### On one criterion of constancy of a complex function

Ukr. Mat. Zh. - 1999. - 51, № 8. - pp. 1096–1104

A new criterion of constancy of complex functions is proved.

Article (Ukrainian)

### Differential properties of real and complex functions

Ukr. Mat. Zh. - 1979. - 31, № 4. - pp.

Article (Ukrainian)

### Differential properties of functions

Ukr. Mat. Zh. - 1979. - 31, № 3. - pp. 289–294

Article (Ukrainian)

### Investigations in function theory in the Institute of Mathematics of the Academy of Sciences of the Ukrainian SSR, during the Soviet regime

Ukr. Mat. Zh. - 1967. - 19, № 6. - pp. 65–72

Article (Russian)

### On derivatives with respect to direction of functions of many variables

Ukr. Mat. Zh. - 1965. - 17, № 6. - pp. 67-79

Article (Russian)

### On continuous mappings of plane regions

Ukr. Mat. Zh. - 1965. - 17, № 1. - pp. 89-94

Article (Russian)

### On continuous mappings of regions in a Euclidian space

Ukr. Mat. Zh. - 1964. - 16, № 2. - pp. 196-211

The basic assertion of this paper is that a set of branch points in space $R^n$ with $n \geq 3$ cannot be zero-dimensional. The proof is based on applying the very important theorem on continuity, which is also presented in the article.

Brief Communications (Russian)

### On one example of a point set

Ukr. Mat. Zh. - 1961. - 13, № 1. - pp. 117-118