Polynomial Solutions of Equivariant Polynomial Abel Differential Equations

Let a⁢(x){a(x)} be non-constant and let bj⁢(x){b_{j}(x)}, for j=0,1,2,3{j=0,1,2,3}, be real or complex polynomials in the variable x. Then the real or complex equivariant polynomial Abel differential equation a⁢(x)⁢y˙=b1⁢(x)⁢y+b3⁢(x)⁢y3{a(x)\dot{y}=b_{1}(x)y+b_{3}(x)y^{3}}, with b3⁢(x)≠0{b_{3}(x)\ne...

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Bibliographic Details
Main Authors: Llibre Jaume, Valls Clàudia
Format: Article
Language:English
Published: De Gruyter 2018-08-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2017-6043