A uniform asymptotic stability theorem for fading memory spaces (Q803380)
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scientific article; zbMATH DE number 4200679
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A uniform asymptotic stability theorem for fading memory spaces |
scientific article; zbMATH DE number 4200679 |
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A uniform asymptotic stability theorem for fading memory spaces (English)
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1991
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The authors prove a new uniform asymptotic stability theorem for infinite delay functional differential equations based upon a Lyapunov functional. The general theorem was motivated by the equations of the form \(x'(t)=- a(t)x(t)+\int^{t}_{-\infty}k(t,s-t,x(s))ds,\) where k is not supposed to decay exponentially with respect to its second argument.
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uniform asymptotic stability
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infinite delay functional differential equations
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Lyapunov functional
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