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|Title:||Eigenvalues of Lidstone boundary value problems||Authors:||Wong, P.J.Y.
|Keywords:||Boundary value problems
|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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