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|Title:||An application of topological transversality to non-positive higher order difference equations|
|Authors:||Agarwal, R.P. |
|Keywords:||A priori bounds|
Non-positive higher order boundary value problem
|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|
|Appears in Collections:||Staff Publications|
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