Asymptotic behavior of oscillatory solutions of first order functional delay difference equations
About this article
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.
Keywords
- Asymptotic behavior
- Delay difference equation
- Oscillatory solution.
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