Stability of Iterative Roots
首发时间:2012-01-11
Abstract:Since many results on existence of continuous iterative roots were obtained, stability of iterative roots becomes an important subject in order to compute iterative roots numerically. This paper discusses on continuous stability and continuously differentiable stability of monotone iterative roots, showing results of the Hyers-Ulam stability, results of approximation which actually give continuous stability, and a comparison between local continuously differentiable stablility and global continuously differentiable unstability for iterative roots.
keywords: dynamical system iterative root stability perturbation
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