Rational General Solutions of Trivariate Rational Systems of Autonomous ODEs

摘要：

We generalize the method of Ngo and Winkler 5 for finding rational general solutions of a plane rational differential system to the case of a trivariate rational differential system. We give necessary and sufficient conditions for the trivariate rational differential system to have a rational solution based on proper reparametrization of invariant algebraic space curves. We also present a criterion for a rational solution to be a rational general solution.

作者: Yanli Huang L.X.Ch(a)u Ng(o) Franz Winkler

作者单位: LMIB-SKLSDE-School of Mathematics and Systems Science Beihang University 100191 Beijing China Resear Research Institute for Symbolic Computation Johannes Kepler University Linz 4040, Linz Austria

会议类型: 国际会议

会议名称: The Fourth International Conference on Mathematical Aspects of Computer and Information Sciences(第四届计算机与信息科学中的数学方法国际会议 MACIS 2011)

会议地点: 北京

会议语种:英文

页码: 93-100

在线出版日期: 2011-10-21（万方平台首次上网日期，不代表论文的发表时间）