Malyshev P. V.
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.
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.
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.
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.