The composition conjecture for Abel equation
نویسندگان
چکیده
منابع مشابه
Center and Composition Conditions for Abel Differential Equation, and Rational Curves
We consider the Abel Equation ρ′ = p(θ)ρ2 + q(θ)ρ3 (*) with p(θ), q(θ) polynomials in sin θ, cos θ. The center problem for this equation (which is closely related to the classical center problem for polynomial vector fields on the plane) is to find conditions on p and q under which all the solutions ρ(θ) of this equation are periodic, i.e. ρ(0) = ρ(2π) for all initial values ρ(0). We consider t...
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ژورنال
عنوان ژورنال: Expositiones Mathematicae
سال: 2009
ISSN: 0723-0869
DOI: 10.1016/j.exmath.2009.02.002