Abstract
For the system of differential equations (fx1113-1) where a(t) > 0, r(t) > 0 for t ≥ t0; f(x) > 0 and is decreasing for x > 0, g(y) > 0, we give necessary and sufficient condition of the existence of a proper solution, a bounded proper solution or solutions of two kinds of boundary value problems on an infinite interval [c, ∞) c ≥ t0. Several examples are given to illustrate the conditions of these results.
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