Triple positive solutions of conjugate boundary value problems II

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 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.