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A new Chebyshev family with applications to Abel equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2012
Authors: Gasull, Armengol; Torregrosa, Joan;

A new Chebyshev family with applications to Abel equations

Abstract

We prove that a family of functions defined through some definite integrals forms an extended complete Chebyshev system. The key point of our proof consists of reducing the study of certain Wronskians to the Gram determinants of a suitable set of new functions. Our result is then applied to give upper bounds for the number of isolated periodic solutions of some perturbed Abel equations.

Agraïments: The second author is partially supported by NSFC-10831003 and by AGAUR grant number 2009PIV00064.

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Keywords

Chebyshev family, Abel equation

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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