19 citations · 33 across the 15 of their papers we have counts for
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Asymptotic stability of oscillations of two-bodies vibrating screen with one-sided obstacle without clearances
Oleg Makarenkov
We prove asymptotic stability of periodic oscillations in two-bodies vibrating screen model under assumption that the frequencies w1 and w2 of the generating system (without obstac…
Stability of non-sticking periodic oscillations obtained via the averaging method in discontinuous systems. I. Smooth outside of the discontinuity surfaces systems
Oleg Makarenkov
In this paper the statement of the second Bogolyubov's theorem on periodic solutions of smooth systems with small parameter is justified for discountinuous systems. It is assumed t…
On Mitropol'skii Yu.A.'s Theorem on Periodic Solutions of Systems of Nonlinear Differential Equations with Non-Differentiable Right-Hand-Sides
Adriana Buica, Jaume Llibre, Oleg Makarenkov
The smooth second Bogolyubov's theorem is generalized for Lipschitz systems.
Domain of attraction of asymptotically stable periodic solutions obtained via averaging principle
Oleg Makarenkov
In this paper we propose an approach to evaluate the domain of attraction of asymptotically stable periodic solutions obtained via averaging principle (second Bogolubov's theorem o…
Methods of topological degree theory in Malkin I. G. - Melnikov V. K.'s problems for periodically perturbed systems
Oleg Makarenkov
A topological degree based averaging principle has been proposed by J. Mawhin in his PhD thesis [J. Mawhin, Le Probleme des Solutions Periodiques en Mecanique non Lineaire, These d…
A new approach in the theory of ordinary differential equations with small parameter
Mikhail Kamenskii, Oleg Makarenkov, Paolo Nistri
A topological degree based averaging principle has been proposed by J. Mawhin in his PhD thesis [J. Mawhin, Le Probleme des Solutions Periodiques en Mecanique non Lineaire, These d…