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oscillation counts

Proceedings of the Edinburgh Mathematical Society (1)

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RIGHT-DEFINITE MULTIPARAMETER STURM–LIOUVILLE PROBLEMS WITH EIGENPARAMETER-DEPENDENT BOUNDARY CONDITIONS
Tirthankar Bhattacharyya, Toma$\breve{z}$ Ko$\breve{s}$ir, Bor Plestenjak
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 45 / Issue 3 / October 2002

Published online by Cambridge University Press:

14 October 2002, pp. 565-578
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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