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|Title:||Eigenvalue characterization for (n,p) boundary-value problems|
|Source:||Wong, P.J.Y.,Agarwal, R.P. (1998-01). Eigenvalue characterization for (n,p) boundary-value problems. Journal of the Australian Mathematical Society Series B-Applied Mathematics 39 (3) : 386-407. ScholarBank@NUS Repository.|
|Abstract:||We consider the (n, p) boundary value problem y(n) + λH(t, y) = λK(t, y), n ≥ 2, t ∈ (0-1), y(p) (1) = y(i) (0) = 0, 0 ≤ i ≤ n - 2, where λ > 0 and 0 ≤ p ≤ n - I is fixed. We characterize the values of λ such that the boundary value problem has a positive solution. For the special case λ = 1, we also offer sufficient conditions for the existence of positive solutions of the boundary value problem. © Australian Mathematical Society, 1998.|
|Source Title:||Journal of the Australian Mathematical Society Series B-Applied Mathematics|
|Appears in Collections:||Staff Publications|
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