Abstract
The paper discusses stability regions for exact and discretized differential equations with a constant lag. These regions are described in terms of explicit necessary and sufficient conditions guaranteeing the asymptotic stability of the studied equations. Using these conditions we also present several important properties of the derived stability sets.
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Acknowledgments
The research was supported by the Grant P201/11/0768 of the Czech Science Foundation and by the project FSI-S-11-3 of Brno University of Technology.
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Čermák, J., Hrabalová, J. On stability regions for some delay differential equations and their discretizations. Period Math Hung 68, 193–206 (2014). https://doi.org/10.1007/s10998-014-0030-7
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DOI: https://doi.org/10.1007/s10998-014-0030-7