Asymptotic theory for a class of nonautonomous delay differential equations (Q1206834)
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scientific article; zbMATH DE number 150582
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic theory for a class of nonautonomous delay differential equations |
scientific article; zbMATH DE number 150582 |
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Asymptotic theory for a class of nonautonomous delay differential equations (English)
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1 April 1993
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For the following nonlinear delay integro-differential equation \(x'(t)=- \int^ t_{t-r(t)}f(t,x(s))d\mu(t,s)\) the authors establish sufficient conditions for the solutions to be bounded and locally or globally asymptotically stable. In addition, estimates on the supreme bound of solutions and the size of the region of attraction are given.
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bounded solutions
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global asymptotic stability
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nonlinear delay integro- differential equation
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supreme bound of solutions
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region of attraction
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