4 papers
math.CA2008
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…
math.CA2008
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…
math.CA2008★ 1 cited
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.
math.FA2008
Lipschitz perturbations of differentiable implicit functions
Oleg Makarenkov
Let be a continuously differentiable implicit function solving the equation with continuously differentiable In this paper we show that if $F_\eps$ is a Li…