Article ID Journal Published Year Pages File Type
4611672 Journal of Differential Equations 2012 7 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis