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Title: Existence of positive solutions for non-positive higher-order BVPs
Authors: Agarwal, R.P. 
Wong, F.-H.
Keywords: Cone
Fixed point
Non-positive higher-order boundary value problem
Operator equation
Positive solution
Issue Date: 23-Feb-1998
Citation: Agarwal, R.P.,Wong, F.-H. (1998-02-23). Existence of positive solutions for non-positive higher-order BVPs. Journal of Computational and Applied Mathematics 88 (1) : 3-14. ScholarBank@NUS Repository.
Abstract: We shall provide conditions on non-positive function f(t, u1, . . . , un-1) so that the boundary value problem {(E) u(n)(t) + f(t, u(t), u′(t), . . . , u(n-2)(t)) = 0 for t ∈ (0, 1) and n ≥ 2, (BVP) {u(i)(0) = 0, 0≤i≤n - 3, (BC) αu(n-2)(0) - βu(n-1)(0) = 0, γu(n-2)(1) + δu(n-1)(1) = 0, has at least one positive solution. Then, we shall apply this result to establish several existence theorems which guarantee the multiple positive solutions. © 1998 Elsevier Science B.V. All rights reserved.
Source Title: Journal of Computational and Applied Mathematics
ISSN: 03770427
Appears in Collections:Staff Publications

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