Title | On Stability of Nonlinear Nonstationary Discrete Volterra Type Systems |
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Authors | A. S. Andreev^{1}, E. A. Kudashova^{1}^{1}Ulyanovsk State University |

Annotation | A new technique for investigating the stability of nonlinear nonstationary discrete systems, based on the modified direct Lyapunov method and the construction of comparison equations is proposed. The article demonstrates the effectiveness of this technique on the example of non-stationary nonlinear discrete mathematical 3D population model. The search for the global uniform asymptotic stability domain of the system solutions is realized using the Maple mathematical package. The results of numerical simulation are presented. |

Keywords | Stability of nonlinear systems, direct Lyapunov method, comparison system, Volterra nonlinear equation, discrete systems |

Citation | Andreev A. S., Kudashova E. A. ''On Stability of Nonlinear Nonstationary Discrete Volterra Type Systems'' [Electronic resource]. Proceedings of the XIII International scientific conference ''Differential equations and their applications in mathematical modeling''. (Saransk, July 12-16, 2017). Saransk: SVMO Publ, 2017. - pp. 248-254. Available at: http://conf.svmo.ru/files/deamm2017/papers/paper35.pdf. - Date of access: 24.08.2019. |

**© SVMO, National Research Mordovia State University, 2019**

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