Title | The estimates for solutions of difference analogues of systems of differential equations with variable coefficients |
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Authors | E. V. Afinogentova^{1}^{1}National Research Mordovia State University |

Annotation | The paper proposes a method for constructing error estimates of linearization of a nonlinear system of finite-difference equations with variable coefficients in the linear part. The method is based on a discrete analogue of the second Lyapunov method. The result can be applied to the study of stability of difference schemes for solving systems of differential equations. |

Keywords | stability, linearization error, estimation, finite difference equations. |

Citation | Afinogentova E. V. ''The estimates for solutions of difference analogues of systems of differential equations with variable coefficients'' [Electronic resource]. Proceedings of the XIV International scientific conference ''Differential equations and their applications in mathematical modeling''. (Saransk, July 9-12, 2019). Saransk: SVMO Publ, 2019. - pp. 110-115. Available at: https://conf.svmo.ru/files/2019/papers/paper34.pdf. - Date of access: 02.12.2023. |

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

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