Add to ORKGWe 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
We give sufficient conditions in terms of the Melnikov functions in order that an analytic or a poly...
none3Recensito su Mathscinet http://www.ams.org/mathscinet da Octavian G. MustafamixedS. Foschi; G. ...
AbstractWe consider some analytic behaviors (convexity, monotonicity and number of critical points) ...
We prove a formula for the $n$-th derivative of the period function $T$ in a period annulus of a pla...
Given a centre of a planar differential system, we extend the use of the Lie bracket to the determin...
AbstractGiven a centre of a planar differential system, we extend the use of the Lie bracket to the ...
AbstractIn this work we study the period function T of solutions to the conservative equation x″(t)+...
We provide a criterion to determine the convexity of the period function for a class of planar Hamil...
AbstractWe consider planar differential equations of the form z˙=f(z)g(z¯) being f(z) and g(z) holom...
We are interested in the optimality of monotonicity criteria for the period function of some planar ...
The algorithm of the successive derivatives introduced in [5] was implemented in [7], [8]. This algo...
AbstractPreviously, we provided an expression which generalized the classical Melnikov function to a...
The paper deals with Hamiltonian systems with homogeneous nonlinearities We prove that such systems...
AbstractThe paper deals with Hamiltonian systems with homogeneous nonlinearities. We prove that such...
AbstractIn this paper, we study planar differential systems possessing a center at the origin. We in...
We give sufficient conditions in terms of the Melnikov functions in order that an analytic or a poly...
none3Recensito su Mathscinet http://www.ams.org/mathscinet da Octavian G. MustafamixedS. Foschi; G. ...
AbstractWe consider some analytic behaviors (convexity, monotonicity and number of critical points) ...
We prove a formula for the $n$-th derivative of the period function $T$ in a period annulus of a pla...
Given a centre of a planar differential system, we extend the use of the Lie bracket to the determin...
AbstractGiven a centre of a planar differential system, we extend the use of the Lie bracket to the ...
AbstractIn this work we study the period function T of solutions to the conservative equation x″(t)+...
We provide a criterion to determine the convexity of the period function for a class of planar Hamil...
AbstractWe consider planar differential equations of the form z˙=f(z)g(z¯) being f(z) and g(z) holom...
We are interested in the optimality of monotonicity criteria for the period function of some planar ...
The algorithm of the successive derivatives introduced in [5] was implemented in [7], [8]. This algo...
AbstractPreviously, we provided an expression which generalized the classical Melnikov function to a...
The paper deals with Hamiltonian systems with homogeneous nonlinearities We prove that such systems...
AbstractThe paper deals with Hamiltonian systems with homogeneous nonlinearities. We prove that such...
AbstractIn this paper, we study planar differential systems possessing a center at the origin. We in...
We give sufficient conditions in terms of the Melnikov functions in order that an analytic or a poly...
none3Recensito su Mathscinet http://www.ams.org/mathscinet da Octavian G. MustafamixedS. Foschi; G. ...
AbstractWe consider some analytic behaviors (convexity, monotonicity and number of critical points) ...