Uniform asymptotic stability of functional differential equations (Q1109212)

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scientific article; zbMATH DE number 4069387
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Uniform asymptotic stability of functional differential equations
scientific article; zbMATH DE number 4069387

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    Uniform asymptotic stability of functional differential equations (English)
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    1988
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    With the help of a Lyapunov functional with semi-negative definite derivative, Barbashin-Krasovskij's theorem is extended to nonautonomous functional differential equations, a reducing dimension approach is presented for the uniform asymptotic stability of high dimension systems, and some sufficient conditions of uniform asymptotic stability are obtained.
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    Lyapunov functional
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    nonautonomous functional differential equations
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    uniform asymptotic stability
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