On exponential stability of linear differential equations with several delays

[摘要] New explicit conditions of exponential stability are obtained for the nonautonomous linear equation i(t) + (k=1)Sigma(m) a(k)(t)x(h(k)(t)) = 0 where Sigma(m)(k=1) a(k)(t) >= 0, h(k)(t) <= t, in particular, for equations with positive and negative coefficients. We apply the comparison method based on the Bohl-Perron type theorem. Exponentially stable delay equations with a positive fundamental function are used for comparison. (c) 2006 Elsevier Inc. All rights reserved.

[发布日期] 2006-12-15

[关键词] delay equations;exponential stability;positive fundamental function