Asymptotic behavior of oscillatory solutions of first order functional delay difference equations
DOI:
https://doi.org/10.14419/ijamr.v4i2.4234Keywords:
Asymptotic behavior, Delay difference equation, Oscillatory solution.Abstract
In this paper, we study the asymptotic behavior of oscillatory solutions of the first order functional delay difference equation
\begin{equation*} \quad \quad \quad \quad \quad \quad\quad \quad \quad \Delta x(n)=f(n, x(n-\tau)),\quad n\geq n_0. \quad \quad \quad \quad \quad \quad \quad \quad \quad\quad \quad \quad \quad \quad \quad\quad \quad \quad\quad \quad (*)\end{equation*}
A new sufficient condition is established under which every oscillatory solution of (*) tends to zero asymptotically.
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Received date: January 29, 2015
Accepted date: February 23, 2015
Published date: March 8, 2015