| Stability Analysis of $n$-Dimensional Neutral Differential Equations with Multiple Delays |
| Received:August 12, 2012 Revised:October 12, 2012 |
| Key Words:
stability analysis neutral differential equation multiple delays.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.\,11371027; 11071001; 11201248), Research Fund for Doctoral Program of Higher Education of China (Grant No.\,20123401120001), Program of Natural Science Research in Anhui Universities (Grant Nos.\,KJ2013A032; KJ2011A020), Anhui Provincial Natural Science Foundation (Grant No.\,1208085MA13), Scientific Research Starting Fund for Doctor of Anhui University (Grant Nos.\,023033190001; 023033190181) and the 211 Project of Anhui University (Grant Nos.\,KJQN1001; 02303050055). |
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| Abstract: |
| This paper is mainly concerned with stability analysis of neutral differential equations with multiple delays. Some criteria on instability, stability, asymptotic stability and exponential stability are obtained. The criterion on asymptotic stability is necessary and sufficient. Two examples are provided to illustrate the applications of our results. Some previous results are extended. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2013.06.001 |
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