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

Hassan Agwo, Manahel Al-Sosui,

Abstract


In this paper we present several sufficient conditions for
oscillation of the second-order linear neutral delay dynamic
equation
\begin{eqnarray}
(y(t)+p(t)y(t-\tau))^{\Delta\Delta}+q(t)y(t-\delta)=0 \nonumber
\end{eqnarray}
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.

Full Text: PDF

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.

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

Copyright © Canadian Center of Science and Education

To make sure that you can receive messages from us, please add the 'ccsenet.org' domain to your e-mail 'safe list'. If you do not receive e-mail in your 'inbox', check your 'bulk mail' or 'junk mail' folders.