Please use this identifier to cite or link to this item: https://doi.org/10.1016/S0898-1221(99)00112-1
Title: Multiple solutions for higher-order difference equations
Authors: Agarwal, R.P. 
O'Regan, D.
Issue Date: May-1999
Citation: Agarwal, R.P., O'Regan, D. (1999-05). Multiple solutions for higher-order difference equations. Computers and Mathematics with Applications 37 (9) : 39-48. ScholarBank@NUS Repository. https://doi.org/10.1016/S0898-1221(99)00112-1
Abstract: The nth (n≥2) order discrete conjugate problem (-1)n-pΔny(k) = f(k,y(k)), k∈I0, Δiy(0) = 0, 0≤i≤p-1 (here 1≤p≤n-1), Δi(T+n-i) = 0, 0≤i≤n-p-1, and the nth (n≥2) order discrete (n,p) problem Δny(k)+f(k,y(k)) = 0, k∈I0, Δiy(0) = 0, 0≤i≤n-2, Δpy(T+n-p) = 0, 0≤p≤n-1 is fixed, are discussed. Let T∈{1,2, ... }, I0 = {0,1, ..., T}, and y:In = {0,1, ..., T+n}→R. Let C(In) denote the class of maps w continuous on In (discrete topology) with norm |m|0 = maxi∈I(n) |w(i)|.
Source Title: Computers and Mathematics with Applications
URI: http://scholarbank.nus.edu.sg/handle/10635/103582
ISSN: 08981221
DOI: 10.1016/S0898-1221(99)00112-1
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