Complete guiding sets for a class of almost-periodic differential equations (Q705963)
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scientific article; zbMATH DE number 2134393
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complete guiding sets for a class of almost-periodic differential equations |
scientific article; zbMATH DE number 2134393 |
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Complete guiding sets for a class of almost-periodic differential equations (English)
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16 February 2005
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The authors introduce the concept of complete guiding set for functional-differential equations. Using this concept, they establish conditions assuring the existence of bounded solutions for these equations. Introducing also the notion of a uniform complete guiding set, they generalize existing results from autonomous to nonautonomous equations with almost-periodic coefficients, especially a result obtained by Ortega and Tineo.
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Bounded solutions
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Guiding functions
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Exponential dichotomy
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