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Accuracy of Approximation of a Solution to an Abstract Cauchy Problem

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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.

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Translated from Kibernetika i Sistemnyi Analiz, No. 3, pp. 145–152, May–June 2005.

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Mayko, N.V., Ryabichev, V.L. Accuracy of Approximation of a Solution to an Abstract Cauchy Problem. Cybern Syst Anal 41, 437–444 (2005). https://doi.org/10.1007/s10559-005-0077-9

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  • DOI: https://doi.org/10.1007/s10559-005-0077-9

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