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Asymptotic behavior of eigenvalues when the potential depends on a parameter

✍ Scribed by B. M. Levitan; A. G. Ramm


Publisher
SP MAIK Nauka/Interperiodica
Year
1967
Tongue
English
Weight
283 KB
Volume
1
Category
Article
ISSN
0001-4346

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## Abstract We consider the Sturm–Liouville problem (1.1) and (1.2) with a potential depending rationally on the eigenvalue parameter. With these equations a __Ξ»__ ‐linear eigenvalue problem is associated in such a way that __L__~2~‐solutions of (1.1), (1.2) correspond to eigenvectors of a linear o