The XVI-th Hilbert problem about limit cycles

Henryk Żołądek

Displaying similar documents to “The XVI-th Hilbert problem about limit cycles”

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.

The number of limit cycles of a quintic Hamiltonian system with perturbation.

Atabaigi, Ali, Nyamoradi, Nemat, Zangeneh, Hamid R.Z. (2008)

Balkan Journal of Geometry and its Applications (BJGA)

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Hilbert transform and singular integrals on the spaces of tempered ultradistributions

Andrzej Kamiński, Dušanka Perišić, Stevan Pilipović (2000)

Banach Center Publications

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The Hilbert transform on the spaces $S^{'} * (R^{d})$ of tempered ultradistributions is defined, uniquely in the sense of hyperfunctions, as the composition of the classical Hilbert transform with the operators of multiplying and dividing a function by a certain elliptic ultrapolynomial. We show that the Hilbert transform of tempered ultradistributions defined in this way preserves important properties of the classical Hilbert transform. We also give definitions and prove properties of singular integral...