Title : On a functional-differential equation of A. F. Beardon and functional-differential equations of Briot-Bouquet type
Language : English
Author, co-author : 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 >]
Publication date : Sep-2013
Journal title : Computational Methods and Function Theory
Publisher : Springer
Volume : 13
Issue/season : 3
Pages : 383-395
Peer reviewed : Yes (verified by ORBi^{lu} )
Audience : International
ISSN : 1617-9447
e-ISSN : 2195-3724
Country : Germany
Keywords : [en] Functional-differential equations ; Briot–Bouquet equations
Abstract : [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.
Permalink : http://hdl.handle.net/10993/6519
DOI : 10.1007/s40315-013-0025-z
Other URL : http://link.springer.com/article/10.1007/s40315-013-0025-z