このエントリーをはてなブックマークに追加
ID 21528
file
creator
NDC
Mathematics
abstract
We consider the nonlinear Sturm–Liouville problem-u″(t)+u(t)p=λu(t), u(t)>0, tI(0, 1), u(0)=u(1)=0, where p>1 is a constant and λ>0 is an eigenvalue parameter. To understand the global structure of the bifurcation diagram in R+×L2(I) completely, we establish the asymptotic expansion of λ(α) (associated with eigenfunction uα with uα2=α) as α→∞. We also obtain the corresponding asymptotics of the width of the boundary layer of uα as α→∞.
journal title
Journal of Differential Equations
volume
Volume 180
issue
Issue 2
start page
374
end page
394
date of issued
2002-04-10
publisher
Elsevier Science
issn
0022-0396
ncid
publisher doi
language
eng
nii type
Journal Article
HU type
Journal Articles
DCMI type
text
format
application/pdf
text version
author
rights
Copyright (c) 2002 Elsevier Science (USA).
relation url
department
Graduate School of Engineering