Abstract

In this paper we investigate the oscillation and asymptotic behavior of solu- tions to the n-th order neutral nonlinear differential equations of the form (x(t) + g(t,x(t(t)))) (n) + f(t,x(s(t))) = 0.

Highlights

  • In the last two decades, there has been a growing interest in the study of oscillation properties of solutions of higher order neutral differential equations, see [1,2,3,4,5,6,7,8] and the references cited therein

  • In this paper we investigate the oscillation and asymptotic behavior of solutions to the n-th order neutral nonlinear differential equations of the form

  • This paper is concerned with the oscillation of n-th order neutral type nonlinear differential equations of the form

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Summary

Introduction

In the last two decades, there has been a growing interest in the study of oscillation properties of solutions of higher order neutral differential equations, see [1,2,3,4,5,6,7,8] and the references cited therein. This interest is due to the appearance of these equations in many applications in natural science and technology.

Auxiliary lemmas
Main results
Examples

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