The instability of the solution to a system with constant delay (Q2703924)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The instability of the solution to a system with constant delay |
scientific article |
Statements
12 June 2002
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delay differential equation
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linear equation
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unstable solution
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The instability of the solution to a system with constant delay (English)
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The author deals with the linear delay differential system NEWLINE\[NEWLINE\dot x(t)= e^t B(t) x(t-\sigma),NEWLINE\]NEWLINE where \(\sigma> 0\) is a constant and \(B\) is a continuous \(\sigma\)-periodic \(m\times m\)-matrix function on \([t_0,\infty)\). The main result shows that under the above hypotheses, the zero solution is unstable.
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