2017
Том 69
№ 9

All Issues

Malyshev P. V.

Articles: 4
Article (Ukrainian)

Approximation by Finite Potentials

Malyshev P. V.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2013. - 65, № 10. - pp. 1342–1349

We consider an infinite system of point particles whose interaction is described by a stable two-body interaction potential ϕ of infinite range. A sequence of finite interaction potentials ϕ R pointwise convergent to ϕ as R → ∞ is introduced. It is shown that the corresponding sequence of correlation functions ρ R converges to ρ in the norm of the Ruelle space E ξ.

Article (Russian)

On locally perturbed equilibrium distribution functions

Malyshev D. V., Malyshev P. V.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2004. - 56, № 6. - pp. 774–781

We construct a new class of locally perturbed equilibrium distribution functions for which local (in time) solutions of the BBGKY equations can be extended onto the entire time axis.

Article (Ukrainian)

Creative Contribution of D. Ya. Petrina to the Development of Contemporary Mathematical Physics

Gerasimenko V. I., Malyshev P. V.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2004. - 56, № 3. - pp. 293-308

This is a brief survey of the results obtained by Prof. D. Ya. Petrina in various branches of contemporary mathematical physics.

Article (Ukrainian)

On D. Ya. Petrina's works in contemporary mathematical physics

Gerasimenko V. I., Malyshev P. V., Rebenko A. L.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1994. - 46, № 4. - pp. 317–328

This is a brief survey of the works of Prof. D. Ya. Petrina in various branches of contemporary mathematical physics.