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Resultats globals: 4 registres trobats en 0.02 segons.
Articles, 4 registres trobats

Articles	4 registres trobats

18 p, 333.3 KB

Solving polynomials with ordinary differential equations / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Giacomini, Hector (Université de Tours. Institut Denis Poisson)
In this work we consider a given root of a family of n-degree polynomials as a one-variable function that depends only on the independent term. Then we prove that this function satisfies several ordinary differential equations (ODE). [...]
2021 - DOI (Digital Object Identifier)

10.1016/j.exmath.2021.06.001
Expositiones Mathematicae, Vol. 39, Issue 4 (December 2021) , p. 624-643

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25 p, 744.8 KB

Differential equations with a given set of solutions / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Ramírez, Rafael Orlando (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques) ; Sadovskaia, Natalia (Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II)
The aim of this paper is to study the following inverse problem of ordinary differential equations: For a given set of analytic functions ω={z(t),…,z(t)}, with z(t)=x(t)+iy(t) and z¯(t)=x(t)−iy(t) for j=1,…,r, defined in the open interval I⊆R, we want to determine the differential equation F(t,z¯,z,z˙,z¯˙,…,z,z¯)=0,where [Formula presented] for j=1,…,n, in such a way that the given set of functions ω is a set of solutions of this differential equation.
2020 - DOI (Digital Object Identifier)

10.1016/j.amc.2019.124659
Applied Mathematics and Computation, Vol. 365 (January 2020) , art. 124659

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17 p, 389.6 KB

Periodic solutions of linear, Riccati, and Abel dynamic equations / Bohner, Martin (Missouri S&T) ; Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade de Lisboa. Departamento de Matemàtica)
We study the number of periodic solutions of linear, Riccati and Abel dynamic equations in the time scales setting. In this way, we recover known results for corresponding differential equations and obtain new results for associated difference equations. [...]
2019 - DOI (Digital Object Identifier)

10.1016/j.jmaa.2018.10.018
Journal of mathematical analysis and applications, Vol. 470, Núm. 2 (February 2019) , p. 733-749

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11 p, 683.1 KB

Generalized Weierstrass integrability of the Abel differential equations / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)
We study the Abel differential equations that admits either a generalized Weierstrass first integral or a generalized Weierstrass inverse integrating factor.
2013 - DOI (Digital Object Identifier)

10.1007/s00009-013-0266-0
Mediterranean Journal of Mathematics, Vol. 10 Núm. 4 (2013) , p. 1749-1760

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