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_...
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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 |
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doaj-dc1fdb8e47944eda82f0afc20b62267c2021-07-14T07:21:20ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752009-02-01200981710.14232/ejqtde.2009.1.8361Stability in discrete equations with variable delaysErnest Yankson0University of Cape CoastIn 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.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=361 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ernest Yankson |
| spellingShingle |
Ernest Yankson Stability in discrete equations with variable delays Electronic Journal of Qualitative Theory of Differential Equations |
| author_facet |
Ernest Yankson |
| author_sort |
Ernest Yankson |
| title |
Stability in discrete equations with variable delays |
| title_short |
Stability in discrete equations with variable delays |
| title_full |
Stability in discrete equations with variable delays |
| title_fullStr |
Stability in discrete equations with variable delays |
| title_full_unstemmed |
Stability in discrete equations with variable delays |
| title_sort |
stability in discrete equations with variable delays |
| publisher |
University of Szeged |
| series |
Electronic Journal of Qualitative Theory of Differential Equations |
| issn |
1417-3875 1417-3875 |
| publishDate |
2009-02-01 |
| description |
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. |
| url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=361 |
| work_keys_str_mv |
AT ernestyankson stabilityindiscreteequationswithvariabledelays |
| _version_ |
1721303870301274112 |