Exponential stability in a scalar functional differential equation
<p/> <p>We establish a criterion for the global exponential stability of the zero solution of the scalar retarded functional differential equation <inline-formula><graphic file="1029-242X-2006-37195-i1.gif"/></inline-formula> whose linear part <inline-formu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2006-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2006/37195 |
| Summary: | <p/> <p>We establish a criterion for the global exponential stability of the zero solution of the scalar retarded functional differential equation <inline-formula><graphic file="1029-242X-2006-37195-i1.gif"/></inline-formula> whose linear part <inline-formula><graphic file="1029-242X-2006-37195-i2.gif"/></inline-formula> generates a monotone semiflow on the phase space <inline-formula><graphic file="1029-242X-2006-37195-i3.gif"/></inline-formula> with respect to the exponential ordering, and the nonlinearity <inline-formula><graphic file="1029-242X-2006-37195-i4.gif"/></inline-formula> has at most linear growth.</p> |
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| ISSN: | 1025-5834 1029-242X |