In the fifth section, we obtain some sufficient conditions under which a class of a planar quintic system has at most two limit cycles by transforming it into Abelequation.
A new integrable condition in a kind of special Abelequation is given in this paper. We can realize the special Abelequation integrability and accurate solution by computer.
给出一类特殊阿贝尔方程新的可积条件，实现了计算机对该类方程可积性及其精确解的自动判定。
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The temperature profiles of the flames are calculated from measurements of the fringe shift by solving Abel-type integral equation with the Laplace transform.