COMPOSITION CONDITIONS IN THE TRIGONOMETRIC ABEL EQUATION

Jaume Giné; Maite Grau; Xavier Santallusia

doi:10.11948/2013011

2013 Volume 3 Issue 2

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Jaume Giné, Maite Grau, Xavier Santallusia. COMPOSITION CONDITIONS IN THE TRIGONOMETRIC ABEL EQUATION[J]. Journal of Applied Analysis & Computation, 2013, 3(2): 133-144. doi: 10.11948/2013011

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Jaume Giné, Maite Grau, Xavier Santallusia. COMPOSITION CONDITIONS IN THE TRIGONOMETRIC ABEL EQUATION[J]. Journal of Applied Analysis & Computation, 2013, 3(2): 133-144. doi: 10.11948/2013011

COMPOSITION CONDITIONS IN THE TRIGONOMETRIC ABEL EQUATION

Departament de Matemàtica, Universitat de Lleida, Avda. Jaume Ⅱ, 69;25001 Lleida, Catalonia, Spain

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Abstract

Abstract

In this paper we deal with the center problem for the trigonometric Abel equation dρ/dθ=a₁(θ)ρ² + a₂(θ)ρ³, where a₁(θ) and a₂(θ) are trigonometric polynomials in θ. This problem is closely connected with the classical Poincaré center problem for planar polynomial vector fields.
- Center problem /
- Abel differential equation /
- universal centers /
- polynomial differential equations
MSC: 34C25;34C05;34C07

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