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Representation of solutions to delayed linear discrete systems with constant coefficients and with second-order differences
Applied Mathematics Letters ( IF 2.9 ) Pub Date : 2020-02-29 , DOI: 10.1016/j.aml.2020.106309
Josef Diblík , Kristýna Mencáková

Linear higher-order delayed systems of discrete equations Δ2x(k)+Ax(km)=f(k),k=0,1,are considered where m is a positive integer, x:{m,m+1,}Rn, Δ2 is the second-order forward difference, A is an n×n constant real matrix and f:{0,1,}Rn. Representations of solutions are derived by means of new types of matrix functions of delayed type. Advantages over previous results are discussed with open problems for future research formulated.



中文翻译:

具有常数系数和二阶差分的时滞线性离散系统解的表示

离散方程的线性高阶时滞系统 Δ2Xķ+一种Xķ-=Fķķ=01个被认为在哪里 是一个正整数, X{--+1个}[RñΔ2 是二阶前向差, 一种 是一个 ñ×ñ 常数实矩阵和 F{01个}[Rñ。解决方案的表示是通过延迟类型的新型矩阵函数得出的。讨论了相对于先前结果的优势,并提出了尚待解决的问题,以供将来研究。

更新日期:2020-02-29
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