Reference : On a functional-differential equation of A. F. Beardon and functional-differential eq...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/6519
On a functional-differential equation of A. F. Beardon and functional-differential equations of Briot-Bouquet type
English
Reich, Ludwig mailto [Karl-Franzens-Universität (Graz) > Institute for Mathematics and Scientific Computations]
Tomaschek, Jörg mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Sep-2013
Computational Methods and Function Theory
Springer
13
3
383-395
Yes (verified by ORBilu)
International
1617-9447
2195-3724
Germany
[en] Functional-differential equations ; Briot–Bouquet equations
[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.
http://hdl.handle.net/10993/6519
10.1007/s40315-013-0025-z
http://link.springer.com/article/10.1007/s40315-013-0025-z

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