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
Summary
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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