Integral Oscillation Criteria for Second-Order Linear Neutral Delay Dynamic Equations on Time Scales

Hassan Agwo, Manahel Al-Sosui


In this paper we present several sufficient conditions for
oscillation of the second-order linear neutral delay dynamic
(y(t)+p(t)y(t-\tau))^{\Delta\Delta}+q(t)y(t-\delta)=0 \nonumber
on a time scale $\mathbb{T}$. Here $p(t) , q(t)$ are
\textit{rd}-continuous functions defined on on a time scale
$\mathbb{T}$. Our results as a special case when $\mathbb{T=R}$ and
$\mathbb{T=N}$ improve some well-known oscillation results for
second-order neutral delay differential and difference equations.

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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