Accurate estimates for the fundamental solutions of discrete boundary value problems
The solutions of a linear differential equation are estimated by discretizing the equation and considering a perturbed recursion (the perturbations arising from errors) and obvious boundary conditions. In particular the preservation of dichotomy under perturbations is considered. This analysis may be considered as the discrete analogue of continuous perturbation theory [see \textit{W. A. Coppel}, Lect. Notes Math. 629 (1978; Zbl 0376.34001)].
scientific article; zbMATH DE number 3887025
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