Abstract
© 2018 Walter de Gruyter GmbH, Berlin/Boston. Let a(x) be non-constant and let bj(x), for j = 0, 1, 2, 3, be real or complex polynomials in the variable x. Then the real or complex equivariant polynomial Abel differential equation a(x)y = b1(x)y + b3(x)y3, with b3(x) =/ 0, and the real or complex polynomial equivariant polynomial Abel differential equation of the second kind a(x)yy = b0(x) + b2(x)y2, with b2(x) =/ 0, have at most 7 polynomial solutions. Moreover, there exist equations of this type having this maximum number of polynomial solutions.
Original language | English |
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Pages (from-to) | 537-542 |
Journal | Advanced Nonlinear Studies |
Volume | 18 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Aug 2018 |
Keywords
- Equivariant Polynomial Equation
- Polynomial Abel Equations
- Polynomial Solutions