A new Chebyshev family with applications to Abel equations
Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2012
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.
Grants:	Ministerio de Ciencia e Innovación MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Note:	Agraïments: The second author is partially supported by NSFC-10831003 and by AGAUR grant number 2009PIV00064.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Abel equation ; Chebyshev family
Published in:	Journal of differential equations, Vol. 252 (2012) , p. 1635-1641, ISSN 1090-2732

DOI: 10.1016/j.jde.2011.06.010

Postprint 7 p, 310.9 KB

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