Trigonometric polynomial solutions of equivariant trigonometric polynomial Abel differential equations
| dc.contributor.author | Valls, Claudia | |
| dc.date.accessioned | 2022-08-08T21:23:27Z | |
| dc.date.available | 2022-08-08T21:23:27Z | |
| dc.date.issued | 2017-10-16 | |
| dc.description.abstract | Let 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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 9 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Valls, C. (2017). Trigonometric polynomial solutions of equivariant trigonometric polynomial Abel differential equations. <i>Electronic Journal of Differential Equations, 2017</i>(261), pp. 1-9. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16055 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Trigonometric polynomial Abel equations | |
| dc.subject | Equivariant trigonometric polynomial equation | |
| dc.subject | Trigonometric polynomial solutions | |
| dc.title | Trigonometric polynomial solutions of equivariant trigonometric polynomial Abel differential equations | |
| dc.type | Article |