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Published online by Cambridge University Press: 20 November 2018
Consider the differential equation
1
where n is even and f(t, y) is subject to the following conditions:
(a) f(t, y) is continuous on [0, ∞)× R;
(2) (b) f(t, y) is nondecreasing in y for each fixed t∈[0,∞);
(c) yf(t, y ) > 0 for y ≠ 0 and t∈[0,∞).