Displaying similar documents to “The number of limit cycles of a quintic Hamiltonian system with perturbation.”

Polynomial systems: a lower bound for the weakened 16th Hilbert problem.

Chengzhi Li, Weigu Li, Jaume Llibre, Zhifen Zhang (2001)

Extracta Mathematicae

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In this paper we provide the greatest lower bound about the number of (non-infinitesimal) limit cycles surrounding a unique singular point for a planar polynomial differential system of arbitrary degree.

On elementary moves that generate all spherical latin trades

Aleš Drápal (2009)

Commentationes Mathematicae Universitatis Carolinae

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We show how to generate all spherical latin trades by elementary moves from a base set. If the base set consists only of a single trade of size four and the moves are applied only to one of the mates, then three elementary moves are needed. If the base set consists of all bicyclic trades (indecomposable latin trades with only two rows) and the moves are applied to both mates, then one move suffices. Many statements of the paper pertain to all latin trades, not only to spherical ones. ...

On the uniqueness of continuous solutions of functional equations

Bolesław Gaweł (1995)

Annales Polonici Mathematici

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We consider the problem of the vanishing of non-negative continuous solutions ψ of the functional inequalities (1)   ψ(f(x)) ≤ β(x,ψ(x)) and (2)   α(x,ψ(x)) ≤ ψ(f(x)) ≤ β(x,ψ(x)), where x varies in a fixed real interval I. As a consequence we obtain some results on the uniqueness of continuous solutions φ :I → Y of the equation (3)  φ(f(x)) = g(x,φ(x)), where Y denotes an arbitrary metric space. ...