Existence of positive solutions for non-positive higher-order BVPs

Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/103232

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
URI:	http://scholarbank.nus.edu.sg/handle/10635/103232
ISSN:	03770427
Appears in Collections:	Staff Publications

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