We consider here a
generalization of the equation
where a(t) is a continuous non-negative function on [0,+∞) and n ≧ 0 is
an integer. Necessary and sufficient conditions are given for the existence
of
(1) a bounded nonoscillatory solution with prescribed limit at ∞;
(2) a nonoscillatory solution whose derivative has a positive limit at
∞.
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