Some results on stability of retarded functional-differential equations using dichotomic map techniques (Q1265495)
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scientific article; zbMATH DE number 1203811
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some results on stability of retarded functional-differential equations using dichotomic map techniques |
scientific article; zbMATH DE number 1203811 |
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Some results on stability of retarded functional-differential equations using dichotomic map techniques (English)
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17 March 1999
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The stability of nonautonomous retarded functional-differential equations is studied using dichotomic maps. Theorems on simple and asymptotic stability are proved. The results are illustrated by examples. In particular, results on stability of the equation \(x'(t)=-b(t)x(t-r)\) and more general \(x'(t)=-b(t)f(x(t-r))\) are established.
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asymptotic stability
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dichotomic maps
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retarded functional-differential equations
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stability
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