A new Chebyshev family with applications to Abel equations
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 upp...
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2012 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150548 |
| Acesso em linha: | https://ddd.uab.cat/record/150548 https://dx.doi.org/urn:doi:10.1016/j.jde.2011.06.010 |
| Access Level: | acceso abierto |
| Palavra-chave: | Abel equation Chebyshev family |
| Resumo: | 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. |
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