Bodnarchuk S. V.
Ukr. Mat. Zh. - 2012. - 64, № 2. - pp. 268-274
Necessary and sufficient conditions for the controllability of solutions of linear inhomogeneous integral equations are obtained.
Conditions of smoothness for the distribution density of a solution of a multidimensional linear stochastic differential equation with levy noise
Ukr. Mat. Zh. - 2011. - 63, № 4. - pp. 435-447
A sufficient condition is obtained for smoothness of the density of distribution for a multidimensional Levy-driven Ornstein-Uhlenbeck process, i.e., a solution to a linear stochastic differential equation with Levy noise.
On parameter dependence of bounded invariant manifolds of autonomous systems of differential equations
Ukr. Mat. Zh. - 1996. - 48, № 6. - pp. 747-752
We consider bounded invariant manifolds of autonomous systems of differential equations and study the problem of their continuity and continuous differentiability with respect to a parameter.