The asymptotic estimates of solutions of difference equations |
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| Authors: | Zhao-hua Li |
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| Affiliation: | 1. Lefschetz Center for Dynamical Systems, Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912 USA;2. Department of Mathematics, Zhejiang University, Hangzhou, People''s Republic of China |
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| Abstract: | The asymptotic estimate of the solution y(t) of linear difference equations with almost constant coefficients and the condition of asymptotic equivalence between y(t) and y0(t) are given, where y0(t) is the corresponding solution of linear equations with constant coefficients. A brief and elementary proof of the results is presented. The method of proof carries over to differential equations in which some similar results are stated. |
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