Stability in discrete equations with variable delays
In this paper we study the stability of the zero solution of difference equations with variable delays. In particular we consider the scalar delay equation \begin{equation} \Delta x(n)=-a(n)x(n-\tau(n)) \end{equation} and its generalization \begin{equation} \Delta x(n)=-\sum^{N}_{j=1}a_j(n)x(n-\tau_...
| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2009-02-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=361 |
| Summary: | In this paper we study the stability of the zero solution of difference equations with variable delays. In particular we consider the scalar delay equation
\begin{equation}
\Delta x(n)=-a(n)x(n-\tau(n))
\end{equation}
and its generalization
\begin{equation}
\Delta x(n)=-\sum^{N}_{j=1}a_j(n)x(n-\tau_j(n)).
\end{equation}
Fixed point theorems are used in the analysis. |
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| ISSN: | 1417-3875 1417-3875 |