Convergence of regular approximations to the spectra of singular fourth-order Sturm-Liouville problems

被引:11
作者
Brown, M
Greenberg, L
Marletta, M
机构
[1] Univ Wales, Dept Comp Sci, Cardiff CF2 3XF, S Glam, Wales
[2] Univ Maryland, Dept Math, College Pk, MD 20742 USA
[3] Univ Leicester, Dept Math, Leicester LE1 7RH, Leics, England
关键词
D O I
10.1017/S0308210500029991
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove some new results which justify the use of interval truncation as a means of regularising a singular fourth-order Sturm-Liouville problem near a singular endpoint. Of particular interest are the results in the so-called lim-3 case, which has no analogue in second-order singular problems.
引用
收藏
页码:907 / 944
页数:38
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