Article ID Journal Published Year Pages File Type
4623451 Journal of Mathematical Analysis and Applications 2006 20 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)⩽thk(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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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