On the polynomial solutions of the polynomial differential equations y y' = a 0(x) + a 1(x) y + a 2(x) y 2 + … + an(x) y n
Ferragut Amengual, Antoni Manel (Universitat Jaume I. Institut Universitari de Matemàtiques i Aplicacions de Castelló)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2020
Abstract:	In this paper we deal with differential equations of the form yy' = P(x, y) where y' = dy/dx and P(x, y) is a polynomial in the variables x and y of degree n in the variable y. We provide an upper bound for the number of polynomial solutions of this class of differential equations, and for some particular classes we study properties of their polynomial solutions.
Grants:	Ministerio de Economía y Competitividad MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 Ministerio de Economía y Competitividad MTM2013-40998-P European Commission 318999
Note:	Altres ajuts: Universitat Jaume I grant P1-1B2015-16
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Polynomial differential equation ; Polynomial solution ; Linear differential equation ; Riccati differential equation ; Abel differential equation
Published in:	Indian Journal of Pure and Applied Mathematics, Vol. 51, Issue 1 (March 2020) , p. 217-232, ISSN 0975-7465

DOI: 10.1007/s13226-020-0396-6

Postprint 11 p, 363.3 KB

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