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On positivity and stability of linear time-varying Volterra equations - MaRDI portal

On positivity and stability of linear time-varying Volterra equations (Q1041494)

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scientific article; zbMATH DE number 5641591
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On positivity and stability of linear time-varying Volterra equations
scientific article; zbMATH DE number 5641591

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    On positivity and stability of linear time-varying Volterra equations (English)
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    2 December 2009
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    The paper deals with the positivity and the stability of solutions to a linear time-varying Volterra integro-differential equation of non-convolution type. The positivity is characterised using Metzler matrices. Under some suitable hypotheses, it is shown that positivity implies exponential asymptotic stability.
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    positive solution
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    exponential asymptotic stability
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    linear time-varying Volterra integro-differential equation of non-convolution type
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