Abstract

We are concerned with the oscillation of the forced second‐order neutral nonlinear differential equations with delayed argument in the form . No restriction is imposed on the potentials p(t), qi(t), ande(t) to be nonnegative. Our methodology is somewhat different from those of previous authors.

Highlights

  • In this paper, we study the oscillatory behavior of the forced neutral nonlinear functional differential equation of the form rt xt atxσt n ptf xτ t qi t |x t |λi sgn x t e t, i1 where t ≥ t0

  • No restriction is imposed on the potentials p t, qi t, ande t to be nonnegative

  • We study the oscillatory behavior of the forced neutral nonlinear functional differential equation of the form rt xt atxσt n ptf xτ t qi t |x t |λi sgn x t e t, 1.1

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Summary

Introduction

We study the oscillatory behavior of the forced neutral nonlinear functional differential equation of the form rt xt atxσt n ptf xτ t qi t |x t |λi sgn x t e t , i1 where t ≥ t0. We study the oscillatory behavior of the forced neutral nonlinear functional differential equation of the form rt xt atxσt n ptf xτ t qi t |x t |λi sgn x t e t , 1.1 There has been an increasing interest in obtaining sufficient conditions for the oscillation and/or nonoscillation of second-order linear and nonlinear delay differential equations see, for example, 1–22 and the references therein .

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