摘要

The linear scalar differential equation with several delays x'(t) = -Sigma(N)(i=1) b(i)(t)x(t - tau(i)(t)) is investigated, where b(i)(t) is an element of C(R( ), R) and tau(i)(t) is an element of C(R( ), R( )) for i = 1, 2, ..., N. Using fixed point theory, some new conditions for asymptotic stability of the zero solution are established. For N = 1, our theory improves the results in the earlier publications. For N = 2, two examples, which the results in the literature can not be applied to, are given to show the feasibility and effectiveness of our result..

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