期刊名称:International Journal of Mathematics and Mathematical Sciences
印刷版ISSN:0161-1712
电子版ISSN:1687-0425
出版年度:2006
卷号:2006
DOI:10.1155/IJMMS/2006/69562
出版社:Hindawi Publishing Corporation
摘要:We study the general sixth Painlevé 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 Painlevé equation as x→