Multiple Solutions for a System of $(n_i, p_i) Boundary Value Problems

We consider the system of boundary value problems u (ni) i (t) + fi(t, u1(t), . . . , um(t)) = 0 u (j) i (0) = 0 u (pi) i (1) = 0 9 >= >; for t ∈ [0, 1], i = 1, . . . , m and 0 ≤ j ≤ ni−2 where ni ≥ 2 and 1 ≤ pi ≤ ni−1. Several criteria are offered for the existence of single and twin solutions of the system that are of fixed signs.

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