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La caja de polinomios.
(2011-10-13)
En este artículo se ilustra la utilización de una herramienta didáctica para la educación básica denominada La Caja de Polinomios la cual permite el desarrollo del álgebra de polinomios. Esta herramienta fue construida a ...
Every Banach ideal of polynomials is compatible with an operator ideal
(Springer Wien, 2012-01)
We show that for each Banach ideal of homogeneous polynomials, there exists a (necessarily unique) Banach operator ideal compatible with it. Analogously, we prove that any ideal of n-homogeneous polynomials belongs to a ...
LIMIT CYCLES BIFURCATING FROM THE PERIODIC ANNULUS OF CUBIC HOMOGENEOUS POLYNOMIAL CENTERS
(Texas State Univ, 2015-10-21)
We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of any cubic homogeneous polynomial center when it is perturbed inside the class of all ...
Limit cycles bifurcating from the periodic annulus of cubic homogeneous polynomial centers
(2015-10-21)
We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of any cubic homogeneous polynomial center when it is perturbed inside the class of all ...
Polynomial Differential Systems in R3 Having Invariant Weighted Homogeneous Surfaces
(2018-03-01)
In this paper we give the normal form of all polynomial differential systems in R3 having a weighted homogeneous surface f= 0 as an invariant algebraic surface and characterize among these systems those having a Darboux ...
Non-Homogeneous Thermoelastic Timoshenko Systems
(Bulletin of the Brazilian Mathematical Society, New Series, 2018)
Lineability of summing sets of homogeneous polynomials
(Taylor & Francis LtdAbingdonInglaterra, 2010)
On Lorentz nuclear homogeneous polynomials between Banach spaces
(European Mathematical SocZurichSuíça, 2010)
Extending polynomials in maximal and minimal ideals
(Kyoto Univeristy, 2010-03)
Given a homogeneous polynomial on a Banach space E belonging to some maximal or minimal polynomial ideal, we consider its iterated extension to an ultrapower of E and prove that this extension remains in the ideal and has ...
Orbits of homogeneous polynomials on Banach spaces
(Cambridge University Press, 2021-06)
We study the dynamics induced by homogeneous polynomials on Banach spaces. It is known that no homogeneous polynomial defined on a Banach space can have a dense orbit. We show a simple and natural example of a homogeneous ...