2019
Том 71
№ 11

# Karataeva T. V.

Articles: 10
Brief Communications (Russian)

### On the existence of the Stieltjes integral for functions of bounded variation

Ukr. Mat. Zh. - 1995. - 47, № 3. - pp. 432-435

We obtain sufficient conditions of existence of the Stieltjes integral $$\int\limits_s^t {f(\tau )} d\mathcal{F}(\tau ) = \mathop {\lim }\limits_{\delta _n \to 0} \sum\limits_{k = 1}^{m_n } {f(\xi _k )(\mathcal{F}(t_k^n ) - \mathcal{F}(t_{k - 1}^n ))}$$ for functions of bounded variation taking values in a Banach algebra with identity regardless of the choice of points $ξ_k \in [t_{k−1}, t_k]$.

Article (Russian)

### On the existence of a mixed sum of additive systems

Ukr. Mat. Zh. - 1994. - 46, № 6. - pp. 699–707

A representation is obtained for a mixed sum of additive systems with values in a Banach ring X with identity and norm.

Article (Ukrainian)

### Semigroup of evolutionary discontinuous systems with respect to mixed summation

Ukr. Mat. Zh. - 1989. - 41, № 7. - pp. 905-910

Article (Ukrainian)

### Mixed product of evolutionary multiplicative systems without continuity conditions

Ukr. Mat. Zh. - 1987. - 39, № 4. - pp. 444–450

Article (Ukrainian)

### Homeomorphism of multiplicative and additive semigroups without continuity conditions

Ukr. Mat. Zh. - 1987. - 39, № 3. - pp. 309–315

Article (Ukrainian)

### Question of the mixed product of dependent multiplicative semigroups

Ukr. Mat. Zh. - 1987. - 39, № 2. - pp. 161-167

Article (Ukrainian)

### Integral representation of multiplicative systems with no continuity condition

Ukr. Mat. Zh. - 1986. - 38, № 2. - pp. 238–241

Article (Ukrainian)

### Isomorphism of multiplicative and additive parametric semigroups without the continuity condition

Ukr. Mat. Zh. - 1985. - 37, № 2. - pp. 168 – 175

Article (Ukrainian)

### A generalization of certain results from the theory of stochastic semigroups

Ukr. Mat. Zh. - 1985. - 37, № 1. - pp. 26 – 31

Article (Ukrainian)

### A class of gaussian measures on a space of operators

Ukr. Mat. Zh. - 1982. - 34, № 5. - pp. 613—616