Abstract
Some new results are presented for the oscillatory and asymptotic behavior of higher-order half-linear differential equations with a noncanonical operator. We study the delayed and advanced equations subject to various conditions.MSC:34C10, 34K11.
Highlights
Over the past few years, there has been much research activity concerning the oscillation and asymptotic behavior of various classes of differential equations; we refer the reader to [ – ] and the references cited therein
Half-linear differential equations occur in a variety of real world problems such as in the study of p-Laplace equations, non-Newtonian fluid theory, and the turbulent flow of a polytrophic gas in a porous medium; see the related background details reported in [ ]
Many authors have studied the properties of solutions of the higher-order differential equation
Summary
Over the past few years, there has been much research activity concerning the oscillation and asymptotic behavior of various classes of differential equations; we refer the reader to [ – ] and the references cited therein. Many authors have studied the properties of solutions of the higher-order differential equation (P) Is it possible to establish asymptotic criteria for equation
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