Uniform boundedness by averaging (Q1603248)
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scientific article; zbMATH DE number 1759086
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniform boundedness by averaging |
scientific article; zbMATH DE number 1759086 |
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Uniform boundedness by averaging (English)
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25 June 2002
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The authors study a system of functional-differential equations with infinite delay. By using Lyapunov functionals, conditions are given for uniform boundedness and uniform ultimate boundedness. The results are based on the method of finding a bound on the averaged values of the unknown solutions and the application of Jensen's inequality. A comparison with earlier results and nice examples make this paper very interesting.
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functional-differential equations
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Lyapunov functionals
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boundedness by averaging
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