Abstract
For the functional equation L n y( t) + H( t, y( g( t)) = f( t), n ⩾ 2, where L n = 1 p n(t) d dt 1 P n − 1(t) d dt … d dt 1 P 1(t) d dt · P 0(t) sufficient conditions have been found to ensure that a solution is either quickly oscillating or else it is nonoscillatory. Both canonical and noncanonical forms of L n have been studied.
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