Djilali Behloul, Sui Sun Cheng
In this article, we study differential equations of the form which can be elliptic, hyperbolic, parabolic, Riccati, or quasi-linear. We show how rational solutions can be computed in a systematic manner. Such results are most likely to find applications in the theory of limit cycles as indicated by Gine et al .
Submitted August 23, 2011. Published September 19, 2011.
Math Subject Classifications: 34A05.
Key Words: Polynomial solution; rational solution; nonlinear differential equation.
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| Djilali Behloul |
Faculté Génie Electrique
Département informatique, USTHB, BP32
El Alia, Bab Ezzouar, 16111, Algiers, Algeria
| Sui Sun Cheng |
Department of Mathematics, Hua University
Hsinchu 30043, Taiwan
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