A new Chebyshev family with applications to Abel equations

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Títol:	A new Chebyshev family with applications to Abel equations
Autor/a:	Gasull, Armengol; Torregrosa, Joan
Abstract:	Agraïments: The second author is partially supported by NSFC-10831003 and by AGAUR grant number 2009PIV00064.
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.
Matèries:	-Abel equation -Chebyshev family
Drets:	open access Tots els drets reservats. https://rightsstatements.org/vocab/InC/1.0/
Tipus de document:	Article
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Uri:	https://ddd.uab.cat/record/150548

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