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:2004
卷号:2004
DOI:10.1155/S0161171204402385
出版社:Hindawi Publishing Corporation
摘要:There are several existing ways in developing the asymptotics of
the Painlevé transcendents. But it is always a hard task to
justify the existence of these asymptotics. In this note, we
apply the successive approximation to the general fifth
Painlevé equation and rigorously prove the existence of a
group of asymptotics of its solutions.