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	A new Chebyshev family with applications to Abel equations
	Gasull, Annengol ; Li, Chengzhi ; Torregrosa, Joan
	2012
关键词	Chebyshev system Abel equation Wronskian Integral Gram determinant Periodic solution Number of zeroes of real analytic functions LIMIT-CYCLES
英文摘要	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. (C) 2011 Elsevier Inc. All rights reserved.; Mathematics; SCI(E); 0; ARTICLE; 2; 1635-1641; 252
语种	英语
出处	SCI
出版者	微分方程杂志
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/235240]
专题	数学科学学院
推荐引用方式 GB/T 7714	Gasull, Annengol,Li, Chengzhi,Torregrosa, Joan. A new Chebyshev family with applications to Abel equations. 2012-01-01.

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