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Asymptotic profiles of variational eigenvalues of two‐parameter non‐linear Sturm–Liouville problems
Author(s) -
Shibata Tetsutaro
Publication year - 1998
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(199812)21:18<1619::aid-mma929>3.0.co;2-e
Subject(s) - sturm–liouville theory , mathematics , eigenvalues and eigenvectors , variational method , mathematical analysis , variational analysis , boundary value problem , physics , quantum mechanics
We consider the two‐parameter non‐linear Sturm–Liouville problems. By using the variational method on general level sets, the variational eigenvalues are obtained. The purpose of this paper is to study the properties of these variational eigenvalues with respect to the parameter of general level sets. © 1998 B. G. Teubner Stuttgart—John Wiley & Sons, Ltd.