Bhattacharyya, Tirthankar and Ko$\breve{s}$ir, Tomasbreve{z} and Plestenjak, Bor (2002) Right-Definite Multiparameter Sturm–Liouville Problems With Eigenparameter-Dependent Boundary Conditions. In: Proceedings of the Edinburgh Mathematical Society (Series 2), 45 (3). pp. 565-578.
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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.
Item Type: | Journal Article |
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Publication: | Proceedings of the Edinburgh Mathematical Society (Series 2) |
Publisher: | Cambridge University Press |
Additional Information: | Copyright of this article belongs to Cambridge University Press. |
Keywords: | multiparameter Sturm–Liouville boundary-value problems; eigenparameter-dependent boundary conditions; eigenvalues; oscillation counts;Minkowski definiteness conditions |
Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
Date Deposited: | 25 Aug 2011 10:16 |
Last Modified: | 25 Aug 2011 10:16 |
URI: | http://eprints.iisc.ac.in/id/eprint/40321 |
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