Bhattacharyya, Tirthankar ; Kosir, T. ; Plestenjak, Bor (2002) Right-definite multiparameter sturm–liouville problems with eigenparameter-dependent boundary conditions Proceedings of the Edinburgh Mathematical Society, 45 (03). pp. 565-578. ISSN 0013-0915
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Related URL: http://dx.doi.org/10.1017/S0013091501000207
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: | Article |
|---|---|
| Source: | Copyright of this article belongs to Edinburgh Mathematical Society. |
| Keywords: | Multiparameter Sturm–Liouville Boundary-Value Problems; Eigenparameter-Dependent Boundary Conditions; Eigenvalues; Oscillation Counts; Minkowski Definiteness Conditions |
| ID Code: | 99549 |
| Deposited On: | 27 Nov 2016 12:53 |
| Last Modified: | 29 Nov 2016 09:22 |
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