Malyshev P. V.
Approximation by Finite Potentials
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.
On locally perturbed equilibrium distribution functions
Malyshev D. V., Malyshev P. V.
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.
Creative Contribution of D. Ya. Petrina to the Development of Contemporary Mathematical Physics
Gerasimenko V. I., Malyshev P. V.
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.
On D. Ya. Petrina's works in contemporary mathematical physics
Gerasimenko V. I., Malyshev P. V., Rebenko A. L.
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.
