Abstract
We shall employ some fixed-point theorems for operators on a cone to obtain existence criteria for (at least) three positive solutions of the following continuous and discrete systems of boundary value problems: ▪ and ▪ where y ̄ i=(Δy i…,Δ n-1y i) 1≤ i≤ m. As an application of the results obtained, we establish the existence of (at least) three positive radial solutions for a system of partial difference equations. Examples are included to illustrate the usefulness of the various criteria obtained.
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