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Left-definite spaces of singular Sturm–Liouville problems

✍ Scribed by Guangsheng Wei; Shouzhong Fu


Book ID
108178188
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
201 KB
Volume
345
Category
Article
ISSN
0022-247X

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We consider a Sturm -Liouville operator Lu = -(r(t)u ) +p(t)u, where r is a (strictly) positive continuous function on ]a, b[ and p is locally integrable on ]a, b[ . Let r 1 (t) = t a (1/r) ds and choose any c ∈ ]a, b[ . We are interested in the eigenvalue problem Lu = λm(t)u, u(a) = u(b) = 0, and t