2019
Том 71
№ 5

All Issues

Ostapenko V. V.

Articles: 7
Brief Communications (Ukrainian)

On the Solution of a Locally Finite System of Linear Inequalities with Graph Structure

Finin G. S., Ostapenko V. V.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2001. - 53, № 4. - pp. 568-571

We propose a method for the solution of a locally finite system of linear inequalities that arises in the course of solution of problems of control over resource in networks with generalized Kirchhoff law. We present a criterion for a system of inequalities to have the graph structure.

Article (Russian)

Methods for the Elimination of Unknowns from Systems of Linear Inequalities and Their Applications

Finin G. S., Ostapenko V. V.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2001. - 53, № 1. - pp. 50-56

We study methods for the elimination of an unknown or a group of unknowns from systems of linear inequalities. We justify these methods by using the Helly theorem. The methods considered are applied to the calculation of streams in networks with a generalized conservation law.

Article (Russian)

Matrix convexity

Ostapenko V. V.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1995. - 47, № 1. - pp. 64–69

The notion of a convex set is generalized. In the definition of ordinary convexity, sums of products of vectors and numbers are used. In the generalization considered in this paper, the role of numbers is played by matrices; this is why we call it “matrix convexity.”

Article (Ukrainian)

H-convex sets and integration of many-valued mappings

Ostapenko V. V.

Full text (.pdf)

Ukr. Mat. Zh. - 1987. - 39, № 5. - pp. 588–592

Article (Ukrainian)

A certain condition of almost convexity

Ostapenko V. V.

Full text (.pdf)

Ukr. Mat. Zh. - 1983. - 35, № 2. - pp. 169—172

Article (Ukrainian)

Topological nilgroups of matrices

Kozeratskaya, Ostapenko V. V.

Full text (.pdf)

Ukr. Mat. Zh. - 1980. - 32, № 2. - pp. 175 - 178

Article (Ukrainian)

Linear topological N-groups

Ostapenko V. V.

Full text (.pdf)

Ukr. Mat. Zh. - 1978. - 30, № 3. - pp. 400– 403