19 citations · 36 across the 9 of their papers we have counts for
12 papers
Non-trivial, non-negative periodic solutions of a system of singular-degenerate parabolic equations with nonlocal terms
Genni Fragnelli, Dimitri Mugnai, Paolo Nistri +1
We study the existence of non-trivial, non-negative periodic solutions for systems of singular-degenerate parabolic equations with nonlocal terms and satisfying Dirichlet boundary…
On the behavior of periodic solutions of planar autonomous Hamiltonian systems with multivalued periodic perturbations
Oleg Makarenkov, Luisa Malaguti, Paolo Nistri
Aim of the paper is to provide a method to analyze the behavior of -periodic solutions $x_\eps, \eps>0$, of a perturbed planar Hamiltonian system near a cycle , of smallest…
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…