The estimates for solutions of difference analogues of systems of differential equations with variable coefficients

Title	The estimates for solutions of difference analogues of systems of differential equations with variable coefficients
Authors	E. V. Afinogentova¹ ¹National 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: 21.11.2024.