On Stability of Linear Delay Differential Equations under Perron's Condition
The stability of the zero solution of a system of first-order linear functional differential equations with nonconstant delay is considered. Sufficient conditions for stability, uniform stability, asymptotic stability, and uniform asymptotic stability are established.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/134072 |
| Summary: | The stability of the zero solution of a system of first-order
linear functional differential equations with nonconstant delay is considered.
Sufficient conditions for stability, uniform stability, asymptotic stability, and
uniform asymptotic stability are established. |
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| ISSN: | 1085-3375 1687-0409 |