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Accuracy of Approximation of a Solution to an Abstract Cauchy Problem
Authors:N V Mayko  V L Ryabichev
Affiliation:(1) Taras Shevchenko University, Kiev, Ukraine
Abstract:A constructive image of the solution to a homogeneous Cauchy problem in a Banach space with a densely specified linear closed logarithmically-sector operator is investigated. The uniform accuracy of estimation of an approximate solution in t ≥ 0 is proved. __________ Translated from Kibernetika i Sistemnyi Analiz, No. 3, pp. 145–152, May–June 2005.
Keywords:differential equation of the first order  Banach space  logarithmically-sector operator  constructive representation of a solution  accuracy of an approximate solution
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