A new Chebyshev family with applications to Abel equations

Authors :: Joan Torregrosa
Chengzhi Li
Armengol Gasull
Source :: Recercat. Dipósit de la Recerca de Catalunya, instname, Dipòsit Digital de Documents de la UAB, Universitat Autònoma de Barcelona, Recercat: Dipósit de la Recerca de Catalunya, Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Publication Year :: 2012
Publisher :: Elsevier BV, 2012.
Abstract: Agraïments: The second author is partially supported by NSFC-10831003 and by AGAUR grant number 2009PIV00064. 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.