Ukr. Mat. Zh. - 2008. - 60, № 2. - pp. 183–191
We consider the problem of controllability in oscillation dynamical systems. A solution of the local control problem is obtained for one class of systems of differential equations. An example of application of the main results is given.
Ukr. Mat. Zh. - 1998. - 50, № 1. - pp. 13–21
We establish conditions for the existence, uniqueness, and smoothness of the toroidal manifolds of differential equations with unbounded operator coefficients.
Ukr. Mat. Zh. - 1993. - 45, № 4. - pp. 481–486
A new modification of Galerkin's approximation scheme is proposed for evolutionary equations with pulse influence and its convergence is proved. The result obtained is extended to the pulse evolutionary equations with deviating argument.