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Number - 1373 |
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Date -
September 14th, 12 |
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Date -
September 14th, 12 |
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| Summary |
This work is concerned with oscillation of the second order sublinear neutral delay
dynamic equations of the form
\begin{eqnarray*}
\left(r(t)\left( (y(t)+p(t)y(\alpha(t)))^\Delta\right)^\gamma
\right)^\Delta + q(t) y^\gamma(\beta(t))=0
\end{eqnarray*}
on a time scale ${\mathcal T}$ by means of Riccati transformation technique, under
the assumptions $\int\limits_{t_0}^{\infty}\left(\frac{1}{r(t)}\right)^
{\frac{1}{\gamma}} \Delta t = \infty$ and $\int\limits_{t_0}^{\infty}\left(\frac
{1}{r(t)}\right)^{\frac{1}{\gamma}} \Delta t < \infty,$
where $0<\gamma \leq 1$ is a quotient of odd positive integers. |
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RICCATI TRANSFORMATION AND SUBLINEAR OSCILLATION FOR SECOND ORDER NEUTRAL DELAY DYNAMIC EQUATIONS
