[en] We look for solutions of the functional-differential equation f(φ(z))=a(z)f(z)f′(z) for given series φ and a . We show that all formal solutions f of this equation are local analytic. In order to do this we transform the equation to a special type of Briot–Bouquet differential equation.
Disciplines :
Mathématiques
Auteur, co-auteur :
Reich, Ludwig; Karl-Franzens-Universität (Graz) > Institute for Mathematics and Scientific Computations
TOMASCHEK, Jörg ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Langue du document :
Anglais
Titre :
On a functional-differential equation of A. F. Beardon and functional-differential equations of Briot-Bouquet type
