安徽大学学报(自然科学版)2017,Vol.41Issue(2):68-71,4.DOI:10.3969/j.issn.1000-2162.2017.02.009
一致渐近在特征值问题中的应用
Application of uniform asymptotics in the eigenvalue problem
摘要
Abstract
The large eigenvalue problem with a simple turning point was studied by virtue of the method of uniform asymptotics introduced by Bassom et al.A rigorous Airy asymptotic solution that holds uniformly on the Stokes lines to the large eigenvalue problem was presented.Besides the asymptotic expressions for the large eigenvalues were also obtained.关键词
热方程/一致渐近/Airy函数/特征值Key words
heat equation/uniform asymptotics/Airy functions/eigenvalues分类
数理科学引用本文复制引用
胡琳,曾招云,别群益..一致渐近在特征值问题中的应用[J].安徽大学学报(自然科学版),2017,41(2):68-71,4.基金项目
国家自然科学基金资助项目(61174216) (61174216)
井冈山大学博士科研启动项目(JZB16001) (JZB16001)