6 citations · 9 across the 3 of their papers we have counts for
3 papers
math.CA2012★ 6 cited
The period functions' higher order derivatives
Marco Sabatini
We prove a formula for the -th derivative of the period function in a period annulus of a planar differential system. For , we obtain Freire, Gasull and Guillamon for…
math.CA2010★ 1 cited
Asymptotic stability and periodic solutions of vector Liénard equations
F. Briata, M. Sabatini
We prove the asymptotic stability of the equilibrium solution of a class of vector Liénard equations by means of LaSalle invariance principle. The key hypothesis consists in assumi…
math.DS2010★ 2 cited
Existence and uniqueness of limit cycles in a class of second order ODE's
M. Sabatini
We prove a uniqueness result for limit cycles of a class of second order ODE's. As a special case, we prove limit cycle's uniqueness for an ODE studied in \cite{ETBA}.