✦ LIBER ✦

On exponential stability of a linear delay differential equation with an oscillating coefficient

✍ Scribed by Leonid Berezansky; Elena Braverman

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 366 KB
Volume: 22
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2009.07.007

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✦ Synopsis

New explicit exponential stability conditions are obtained for the nonautonomous linear equation

where h(t) ≤ t and a(t) is an oscillating function.

We apply the comparison method based on the Bohl-Perron type theorem. Coefficients and delays are not assumed to be continuous. Some real-world applications and several examples are also discussed.

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