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On Stability of Solutions to One Class of Nonlinear Difference Systems

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Abstract

We consider some class of systems of nonlinear ordinary differential equations. We adjust the difference schemes corresponding to the equations under study in order to guarantee agreement between differential and difference systems in the sense of stability of the zero solution. We obtain conditions under which perturbations do not violate the asymptotic stability of solutions to difference systems.

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Authors and Affiliations

  1. St. Petersburg State University, Russia

    A. Yu. Aleksandrov & A. P. Zhabko

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  1. A. Yu. Aleksandrov
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  2. A. P. Zhabko
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Aleksandrov, A.Y., Zhabko, A.P. On Stability of Solutions to One Class of Nonlinear Difference Systems. Siberian Mathematical Journal 44, 951–958 (2003). https://doi.org/10.1023/B:SIMJ.0000007470.46246.bd

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  • DOI: https://doi.org/10.1023/B:SIMJ.0000007470.46246.bd

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