Showing papers by "Nanyang Technological University published in 1986"
TL;DR: In this paper, the existence criteria for single, double and multiple constant-sign solutions of the system of discrete equations were established and applications to several boundary value problems were discussed, including boundary value maximization.
Abstract: We consider the following system of discrete equations ui(k) = ΣNl=0gi(k,l)fi(l, u1(l), u2(l), ..., un(l)), k ∈ {0, 1, ..., T}, 1 ≤ i ≤ n where T ≥ N > 0, 1 ≤ i ≤ n. Existence criteria for single, double and multiple constant-sign solutions of the system are established. To illustrate the generality of the results obtained, we include applications to several well known boundary value problems. The above system is also extended to that on {0, 1,...} ui(k) = Σ∞l=0gi(k, l)fi(l, u1(l), u2(l), ..., un(l)), k ∈ {0, 1, ...}, 1 ≤ i ≤ n for which the existence of constant-sign solutions is investigated.
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