Article ID Journal Published Year Pages File Type
4622655 Journal of Mathematical Analysis and Applications 2007 19 Pages PDF
Abstract

New explicit conditions of exponential stability are obtained for the nonautonomous linear equationx˙(t)+∑k=1mak(t)x(hk(t))=0, where ∑k=1mak(t)⩾0,hk(t)⩽t, by comparing this equation with a nonoscillatory exponentially stable equation of the formx˙(t)+∑k∈Iak(t)x(gk(t))=0, where I⊂{1,…,m}I⊂{1,…,m}, gk(t)⩽tgk(t)⩽t. Every comparison result gives m2−12m−1 different stability conditions due to the a priori choice of a subset I.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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