Asymptotic stability for equations with unbounded delay (Q1103811)
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scientific article; zbMATH DE number 4054282
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic stability for equations with unbounded delay |
scientific article; zbMATH DE number 4054282 |
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Asymptotic stability for equations with unbounded delay (English)
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1988
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The objective of this paper is to investigate sufficient conditions for the asymptotic stability of the zero solution of the integro-differential system with infinite memory of the form \[ x'=A(t)x+\int^{t}_{- \infty}K(t,s)x(s)ds+f(t,x),\quad x\in {\mathbb{R}}^ n,\quad f(t,0)=0, \] in which A is not necessary stable.
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unbounded delay
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asymptotic stability
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integro-differential system with infinite memory
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