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Resultats globals: 3 registres trobats en 0.04 segons.
Articles, 3 registres trobats

Articles	3 registres trobats

11 p, 363.3 KB

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)
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.
2020 - DOI (Digital Object Identifier)

10.1007/s13226-020-0396-6
Indian Journal of Pure and Applied Mathematics, Vol. 51, Issue 1 (March 2020) , p. 217-232

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24 p, 357.3 KB

On the number of polynomial solutions of Bernoulli and Abel polynomial differential equations / Cimà, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mañosas Capellades, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we determine the maximum number of polynomial solutions of Bernoulli differential equations and of some integrable polynomial Abel differential equations. As far as we know, the tools used to prove our results have not been utilized before for studying this type of questions. [...]
2017 - DOI (Digital Object Identifier)

10.1016/j.jde.2017.08.003
Journal of differential equations, Vol. 263 (2017) , p. 7099-7122

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16 p, 396.6 KB

Explicit traveling waves and invariant algebraic curves / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Giacomini, Hector (Université de Tours (France). Laboratoire de Mathématiques et Physique Théorique)
We introduce a precise definition of algebraic travelling wave solution of n-th order partial differential equations and prove that the only algebraic travelling waves solutions for the celebrated Fisher-Kolmogorov equation are the ones found in 1979 by Ablowitz and Zeppetella. [...]
2015
Nonlinearity, Vol. 28 (2015) , p. 1597-1606

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