The period functions’ higher order derivatives
نویسنده
چکیده
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 formula for the period’s first derivative [17]. We apply such a result to hamiltonian systems with separable variables and other systems. We give some sufficient conditions for the period function of conservative second order O.D.E.’s to be convex.
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تاریخ انتشار 2012