Hrod I. M.
Ukr. Mat. Zh. - 2014. - 66, № 4. - pp. 551–557
We study systems of linear extensions for dynamical systems. As a result, we establish the relationship between the design matrices in the structure of Green functions and alternating Lyapunov functions.
Ukr. Mat. Zh. - 2006. - 58, № 3. - pp. 317–325
For systems of nonlinear differential equations (dx/dt) = A(x)x + f(t) in a Banach space, we establish sufficient conditions for the existence of their solutions bounded on the entire real axis R.
Ukr. Mat. Zh. - 2000. - 52, № 2. - pp. 282-287
We investigate the problem of preservation of regularity of linear extensions of dynamic systems on a torus under perturbations.
On the smoothness of bounded invariant manifolds of linear inhomogeneous extensions of dynamical systems
Ukr. Mat. Zh. - 1996. - 48, № 1. - pp. 136-139
We establish sufficient conditions for the existence of smooth bounded invariant manifolds of dynamical systems.