For a quasilinear system of difference-differential equations we obtain an estimate for the linearization error. The method is based on the difference analog of the second Lyapunov method and comparison theorem.
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P. I. Koval’, “Reducible systems of difference equations and stability of their solutions” [in Russian], Uspekhi Mat. Nauk 12, No. 6, 143–146 (1957).
A. Halanay and D. Wexler, Qualitative Theory of Impulse Systems [Russian translation], Moscow, Mir (1971).
S. Sugiyama, “Difference inequalities and their applications to stability problems,” Lect. Notes Math. 243, 1–15 (1971).
E. V. Afinogentova and V. N. Shchennikov, “Construction of error estimates for the linearization of systems of finite difference equations,” Russ. Math. 46, No. 8, 71-74 (2002).
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Translated from Problemy Matematicheskogo Analiza 103, 2020, pp. 17-19.
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Afinogentova, E.V. Error Estimate for Linearization of a Quasilinear Periodic System of Finite-Difference Equations. J Math Sci 249, 834–837 (2020). https://doi.org/10.1007/s10958-020-04977-w
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DOI: https://doi.org/10.1007/s10958-020-04977-w