6 citations · 15 across the 9 of their papers we have counts for
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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>…
Periodic solutions for a class of singulary perturbated systems
Mikhail Kamenskii, Oleg Makarenkov, Paolo Nistri
In this paper we provide conditions to ensure the existence, for sufficiently small, of periodic solutions of given period in a prescribed domain for a class of sin…
Periodic bifurcation from families of periodic solutions for semilinear differential equations with Lipschitzian perturbations in Banach spaces
Mikhail Kamenskii, Oleg Makarenkov, Paolo Nistri
Let A:D(A)\to E be an infinitesimal generator either of an analytic compact semigroup or of a contractive C_0-semigroup of linear operators acting in a Banach space E. In this pape…
A continuation principle for a class of periodically perturbed autonomous systems
Mikhail Kamenskii, Oleg Makarenkov, Paolo Nistri
In this paper we evaluate the topological index of periodic solutions otained via the Malkin-Loud bifurcation result. Incidentally, we do not assume that the perturbation is differ…