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Pàgina inicial > Articles > Articles publicats > A new Chebyshev family with applications to Abel equations |
Data: | 2012 |
Resum: | 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. |
Ajuts: | Ministerio de Ciencia e Innovación MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 |
Nota: | Agraïments: The second author is partially supported by NSFC-10831003 and by AGAUR grant number 2009PIV00064. |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Abel equation ; Chebyshev family |
Publicat a: | Journal of differential equations, Vol. 252 (2012) , p. 1635-1641, ISSN 1090-2732 |
Postprint 7 p, 310.9 KB |