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Accuracy of Approximation of a Solution to an Abstract Cauchy Problem |
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| 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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