Exponential stability and estimates for monotone and differential-difference systems (Q1938871)

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scientific article; zbMATH DE number 6138679
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Exponential stability and estimates for monotone and differential-difference systems
scientific article; zbMATH DE number 6138679

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    Exponential stability and estimates for monotone and differential-difference systems (English)
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    25 February 2013
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    The authors obtain necessary and sufficient conditions for the exponential stability in the nonnegative cone and refine exponential estimates for solutions of systems of autonomous difference equations with monotone nondecreasing right-hand sides, including discontinuous ones, as well as for solutions of some class of systems of differential-difference equations with monotonicity. These results generalize the existing theory.
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    exponential stability
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    exponential estimate
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    systems of autonomous difference equations
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    systems of differential-difference equations
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