Necessary and sufficient conditions for oscillation of first order neutral delay difference equations
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2015-04-25 https://doi.org/10.14419/gjma.v3i2.4560 -
Oscillatory behavior, Neutral, Delay difference equation, Constant coefficients. -
In this paper, we obtained some necessary and sufficient conditions for oscillation of all the solutions of the first order neutral delay difference equation with constant coefficients of the form
\begin{equation*} \quad \quad \quad \quad \Delta[x(n)-px(n-\tau)]+qx(n-\sigma)=0, \quad \quad n\geq n_0 \quad \quad \quad \quad \quad \quad {(*)} \end{equation*}
by constructing several suitable auxiliary functions. Some examples are also given to illustrate our results. -
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How to Cite
Murgesan, A., & Sowmiya, P. (2015). Necessary and sufficient conditions for oscillation of first order neutral delay difference equations. Global Journal of Mathematical Analysis, 3(2), 61-72. https://doi.org/10.14419/gjma.v3i2.4560