On exponential stability of a linear delay differential equation with an oscillating coefficient
نویسندگان
چکیده
Keywords: Delay equations Exponential stability Oscillating coefficient Bohl–Perron type theorem a b s t r a c t New explicit exponential stability conditions are obtained for the nonautonomous linear equation ˙ x(t) + a(t)x(h(t)) = 0, 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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ورودعنوان ژورنال:
- Appl. Math. Lett.
دوره 22 شماره
صفحات -
تاریخ انتشار 2009