Let non-constant 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 1049--001, Lisboa, Portugal
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