Valls, Claudia2022-08-082022-08-082017-10-16Valls, C. (2017). Trigonometric polynomial solutions of equivariant trigonometric polynomial Abel differential equations. <i>Electronic Journal of Differential Equations, 2017</i>(261), pp. 1-9.1072-6691https://hdl.handle.net/10877/16055Let A(θ) non-constant and Bj(θ) for j = 0, 1, 2, 3 be real trigonometric polynomials of degree at most η ≥ 1 in the variable x. Then the real equivariant trigonometric polynomial Abel differential equations A(θ)y′ = B1(θ)y + B3(θ)y3 with B3(θ) ≠ 0, and the real polynomial equivariant trigonometric polynomial Abel differential equations of second kind A(θ)yy′ = B0(θ) + B2(θ)y2 with B2(θ) ≠ 0 have at most 7 real trigonometric polynomial solutions. Moreover there are real trigonometric polynomial equations of these type having these maximum number of trigonometric polynomial solutions.Text9 pages1 file (.pdf)enAttribution 4.0 InternationalTrigonometric polynomial Abel equationsEquivariant trigonometric polynomial equationTrigonometric polynomial solutionsArticle