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Distribution of the spectrum and representation of solutions of degenerate dynamical systems

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Abstract

We propose algebraic methods for the investigation of the spectrum and structure of solutions of degenerate dynamical systems. These methods are based on the construction and solution of new classes of matrix equations. We prove theorems on the inertia of solutions of the matrix equations, which generalize the well-known properties of the Lyapunov equation.

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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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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 7, pp. 930–936, July, 1998.

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Mazko, A.G. Distribution of the spectrum and representation of solutions of degenerate dynamical systems. Ukr Math J 50, 1058–1066 (1998). https://doi.org/10.1007/BF02528834

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  • DOI: https://doi.org/10.1007/BF02528834

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