6 citations · 15 across the 9 of their papers we have counts for
11 papers
A continuation principle for periodic BV-continuous state-dependent sweeping processes
Mikhail Kamenskii, Oleg Makarenkov, Lakmi Niwanthi Wadippuli
We consider a Caratheodory differential equation with a state-dependent convex constraint that changes BV-continuously in time (a perturbed BV-continuous state-dependent sweeping p…
Global stability of almost periodic solutions of monotone sweeping processes and their response to non-monotone perturbations
Mikhail Kamenskii, Oleg Makarenkov, Lakmi Niwanthi +1
We develop a theory which allows making qualitative conclusions about the dynamics of both monotone and non-monotone Moreau sweeping processes. Specifically, we first prove that an…
Stochastic differential equations of second order with a small parameter
Mikhail Kamenskii, Marc Quincampoix, Serguei Pergamenchtchikov
We consider boundary value problems for stochastic differential equations of second order with a small parameter. For this case we prove a special existence and unicity theorem for…
Variables Scaling to Solve a Singular Bifurcation Problem with Applications to Periodically Perturbed Autonomous Systems
Mikhail Kamenskii, Oleg Makarenkov, Paolo Nistri
By means of a linear scaling of the variables we convert a singular bifurcation equation in into an equivalent equation to which the classical implicit function theorem can…
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…
Small parameter perturbations of nonlinear periodic systems
Mikhail Kamenskii, Oleg Makarenkov, Paolo Nistri
In this paper we consider a class of nonlinear periodic differential systems perturbed by two nonlinear periodic terms with multiplicative different powers of a small parameter $e>…