Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/102820
Title: An application of topological transversality to non-positive higher order difference equations
Authors: Agarwal, R.P. 
Wong, F.-H.
Keywords: A priori bounds
Difference equations
Fixed point
Non-positive higher order boundary value problem
Operator equation
Positive solution
Issue Date: 15-Mar-1999
Citation: Agarwal, R.P.,Wong, F.-H. (1999-03-15). An application of topological transversality to non-positive higher order difference equations. Applied Mathematics and Computation 99 (2-3) : 167-178. ScholarBank@NUS Repository.
Abstract: In this paper we shall provide sufficient conditions on the non-positive function f(i, u1 , ⋯ , un-1) so that the boundary value problem (BVP) given by (E) Δnu(i) + μf(i,u (i), Δu(i), ⋯ , Δn-2(i)) = 0, and (BC) Δmu(0) = 0, 0 ≤ m ≤ n - 3, αΔn-2(0) - βΔn-1u(0) = 0, γΔn-2u(T + 1) + δΔn-1u(T + 1) = 0, has at least one positive solution. © 1999 Published by Elsevier Science Inc. All rights reserved.
Source Title: Applied Mathematics and Computation
URI: http://scholarbank.nus.edu.sg/handle/10635/102820
ISSN: 00963003
Appears in Collections:Staff Publications

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