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Resultats globals: 3 registres trobats en 0.03 segons.
Articles, 3 registres trobats

Articles	3 registres trobats

14 p, 293.9 KB

Center Problem for trigonometric Liénard systems / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Valls, Clàudia 1973- (Universidade de Lisboa. Departamento de Matemàtica)
We give a complete algebraic characterization of the non-degenerated centers for planar trigonometric Liénard systems. The main tools used in our proof are the classical results of Cherkas on planar analytic Liénard systems and the characterization of some subfields of the quotient field of the ring of trigonometric polynomials. [...]
2017 - DOI (Digital Object Identifier)

10.1016/j.jde.2017.05.008
Journal of differential equations, Vol. 263 (2017) , p. 3928-3942

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21 p, 377.6 KB

The number of polynomial solutions of polynomial Riccati equations / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Zhang, Xiang (Shanghai Jiao Tong University. Department of Mathematics)
Consider real or complex polynomial Riccati differential equations a(x) y=b_0(x) b_1(x)y b_2(x)y^2 with all the involved functions being polynomials of degree at most . We prove that the maximum number of polynomial solutions is 1 (resp. [...]
2016 - DOI (Digital Object Identifier)

10.1016/j.jde.2016.07.019
Journal of differential equations, Vol. 261 (2016) , p. 5071-5093

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6 p, 614.7 KB

The Hilbert number of a class of differential equations / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Makhlouf, Ammar (UBMA University Annaba (Algeria). Department of mathematics)
The notion of Hilbert number from polynomial differential systems in the plane of degree n can be extended to the differential equations of the form dr/dθ = a(θ) /∑n j=0 aj (θ)r j (∗) defined in the region of the cylinder where ∑n j=0 aj (θ)r j ̸= 0 as follows. [...]
2015
Journal of Applied Analysis and Computation, Vol. 5 Núm. 1 (2015) , p. 141-145

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