In this paper, new effective technique for investigation of the higher order differential equation {equation*}{E} y⁽ⁿ⁾(t)=p(t)y(τ(t)). {E} {equation*} is established. We offer new criteria for excluding certain types of nonoscillatory solutions which improve all existing results from the literature. Examples are provided to illustrate the importance of the main results.
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BACULĺCOVÁ et al. (2023) studied this question.
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