Title | Correctness of the linearization method for the discrete system in one critical case |
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Authors | E. V. Afinogentova^{1}^{1}National Research Mordovia State University |

Annotation | The linearization method is widely used for the study of nonlinear models. The article considers the question of the correctness of such a method in the case of a discrete system for which the question of stability is not solved by a linear approximation, i.e. there is a critical case. A method is proposed for estimating the deviation of the nonlinear system solution from its linearized version in the critical case of a single unit root. |

Keywords | discrete system, stability, critical case |

Citation | Afinogentova E. V. ''Correctness of the linearization method for the discrete system in one critical case'' [Electronic resource]. Proceedings of the XV International scientific conference "Differential equations and their applications in mathematical modeling". (Saransk, July 15-18, 2021). Saransk: SVMO Publ, 2021. - pp. 134-138. Available at: https://conf.svmo.ru/files/2021/papers/article01.pdf. - Date of access: 31.01.2023. |

**© SVMO, National Research Mordovia State University, 2023**

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