Electron. J. Differential Equations,
Vol. 2017 (2017), No. 261, pp. 19.
Trigonometric polynomial solutions of equivariant trigonometric polynomial
Abel differential equations
Claudia Valls
Abstract:
Let
nonconstant and
for
be real
trigonometric polynomials of degree at most
in the variable x.
Then the real equivariant trigonometric polynomial Abel differential equations
with
,
and the real polynomial equivariant trigonometric polynomial Abel differential
equations of second kind
with
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.
Submitted August 27, 2017. Published October 16, 2017.
Math Subject Classifications: 34A05, 34C05, 37C10.
Key Words: Trigonometric polynomial Abel equations;
equivariant trigonometric polynomial equation;
trigonometric polynomial solutions
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Clàudia Valls
Departamento de Matemática
Instituto Superior Técnico
Universidade de Lisboa
Av. Rovisco Pais 1049001, Lisboa, Portugal
email: cvalls@math.ist.utl.pt

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