Abstract

The authors present some new oscillation criteria for higher order nonlinear difference equations with nonnegative real coefficients of the form ... Both of the cases n even and n odd are considered. They give examples to illustrate their results.

Highlights

  • We study the oscillatory behavior of all solutions of the higher order nonlinear difference equation

  • We conclude this paper with a suggestion for future research, namely, to study the oscillatory behavior of solutions of Equation (1.1) in case β > α

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Summary

Introduction

We study the oscillatory behavior of all solutions of the higher order nonlinear difference equation. We assume throughout that: (i) α and β are the ratios of odd positive integers with α ≥ β; Copyright c 2020 The Author(s).

We let v
Now let
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