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RIGHT-DEFINITE MULTIPARAMETER STURM–LIOUVILLE PROBLEMS WITH EIGENPARAMETER-DEPENDENT BOUNDARY CONDITIONS
Published online by Cambridge University Press: 14 October 2002
Abstract
We study a system of ordinary differential equations linked by parameters and subject to boundary conditions depending on parameters. We assume certain definiteness conditions on the coefficient functions and on the boundary conditions that yield, in the corresponding abstract setting, a right-definite case. We give results on location of the eigenvalues and oscillation of the eigenfunctions.
AMS 2000 Mathematics subject classification: Primary 34B08; 34B24
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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 45 , Issue 3 , October 2002 , pp. 565 - 578
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- Copyright © Edinburgh Mathematical Society 2002
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