On the asymptotics of the real solutions to the general sixth Painlev谷 equation

作者:Huizeng Qin; Youmin Lu
来源:International Journal of Mathematics and Mathematical Sciences, 2006.
DOI:10.1155/ijmms/2006/69562

摘要

We study the general sixth Painlev%26#233; equation, develop, and justify the existence of several groups of asymptotics of its real solutions. Our methods also justify the differentiability of the asymptotics. Particular attention is paid to the solutions between 0 and 1. We find the asymptotics of all real solutions between 0 and 1 of the sixth Painlev%26#233; equation as x%26#x2192;

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