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On some qualitative properties of monotone linear extensions of dynamical systems

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Ukrainian Mathematical Journal Aims and scope

We study monotone linear extensions of dynamical systems. The problem of the existence of invariant manifolds and exponential separation is investigated for linear extensions that preserve the order structure. We also study the relationship between the monotonicity of linear extensions and the existence (weak regularity, quasiregularity) of bounded solutions of inhomogeneous linear extensions.

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Authors and Affiliations

  1. “Kyiv Polytechnic Institute” National Technical University, Kyiv, Ukraine

    A. L. Grechko

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  1. A. L. Grechko
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 10, pp. 1326–1335, October, 2011.

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Grechko, A.L. On some qualitative properties of monotone linear extensions of dynamical systems. Ukr Math J 63, 1506–1516 (2012). https://doi.org/10.1007/s11253-012-0596-2

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  • DOI: https://doi.org/10.1007/s11253-012-0596-2

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