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On the stability of a class of kinetic equations

  • Part I. Invited Papers Dedicated to Günther Ludwig
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Abstract

Stability properties of kinetic model equations (including discrete versions of the master equation and Boltzmann's equation) are derived by means of Lyapunov's direct method. The construction of suitable Lyapunov functions leads to results about the structural stability of the dynamical systems and makes it possible to compose more complicated systems from the given ones, preserving automatically some form of stability.

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Authors and Affiliations

  1. Fachbereich Physik der Philipps-Universität, Marburg, D-3550, Marburg, West Germany

    W. Maass

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  1. W. Maass
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Maass, W. On the stability of a class of kinetic equations. Found Phys 13, 715–729 (1983). https://doi.org/10.1007/BF01889350

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  • DOI: https://doi.org/10.1007/BF01889350

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