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On the Eigenvalue Accumulation of Sturm-Liouville Problems Depending Nonlinearly on the Spectral Parameter

✍ Scribed by R. Mennicken; H. Schmi; A. A. Shkalikov

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
742 KB
Volume
189
Category
Article
ISSN
0025-584X

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✦ Synopsis

A nonlinear spectral problem for a Sturm -Liouville equation

The spectral parameter X is varying in an interval A and p ( z , A), q(s, A) are real, continuous functions on [a, b] x A. Some criteria to the eigenvalue accumulation at the endpoints of A will be established. The results are applied to concrete problems arising in rnagnetohydrodynamics.

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