Marco Sabatini

most citedThe period functions' higher order derivatives

6 citations · 9 across the 3 of their papers we have counts for

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math.CA2012★ 6 cited

The period functions' higher order derivatives

Marco Sabatini

We prove a formula for the $n$ -th derivative of the period function $T$ in a period annulus of a planar differential system. For $n = 1$ , 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…