Djilali Behloul, Sui Sun Cheng
Abstract:
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 [4].
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 email: dbehloul@yahoo.fr | |
Sui Sun Cheng Department of Mathematics, Hua University Hsinchu 30043, Taiwan email: sscheng@math.nthu.edu.tw |
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