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 in reducing the study of certain wronskians to the Gram determinants of a suitable set of new functions. Our result is applied to give upper bounds for the number of isolated periodic solutions that some perturbed generalized Abel equations can exhibit.
This is a joint work with Armengol Gasull and Chengzhi Li.