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https://scholarbank.nus.edu.sg/handle/10635/103191
| Title: | Eigenvalues of Lidstone boundary value problems | Authors: | Wong, P.J.Y. Agarwal, R.P. |
Keywords: | Boundary value problems Eigenvalues Positive solutions |
Issue Date: | 1-Sep-1999 | Citation: | Wong, P.J.Y.,Agarwal, R.P. (1999-09-01). Eigenvalues of Lidstone boundary value problems. Applied Mathematics and Computation 104 (1) : 15-31. ScholarBank@NUS Repository. | Abstract: | We consider the following boundary value problem: (-1)ny(2n) = λF(t,y), n ≥ 1, t ∈ (0,1), y(2i)(0) = y(2i)(1) = 0, 0 ≤ i ≤ n - 1, where λ > 0. The values of λ are characterized so that the boundary value problem has a positive solution. In addition, we derive explicit intervals of λ such that for any λ in the interval, existence of a positive solution of the boundary value problem is guaranteed. Several examples are also included to dwell upon the importance of the results obtained. © 1999 Elsevier Science Inc. All rights reserved. | Source Title: | Applied Mathematics and Computation | URI: | http://scholarbank.nus.edu.sg/handle/10635/103191 | ISSN: | 00963003 |
| Appears in Collections: | Staff Publications |
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