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Positive and Monotone Systems in a Partially Ordered Space

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Abstract

We investigate properties of positive and monotone differential systems with respect to a given cone in the phase space. We formulate criteria for the stability of linear positive systems in terms of monotonically invertible operators and develop methods for the comparison of systems in a partially ordered space.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    A. G. Mazko

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  1. A. G. Mazko
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Mazko, A.G. Positive and Monotone Systems in a Partially Ordered Space. Ukrainian Mathematical Journal 55, 199–211 (2003). https://doi.org/10.1023/A:1025460111682

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  • DOI: https://doi.org/10.1023/A:1025460111682

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