On the polynomial approximation of solution for the Cauchy problem

The Cauchy problem for a nonhomogeneous first-order differential-operator equation of parabolic type in a Hilbert space is considered. Polynomial approximations and estimates of their convergence are obtained which depend on the character of the right-hand side and the initial conditions.

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Bibliographic Details
Date:1991
Main Authors: Ismailov , Z. I., Исмаилов , З. И.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 1991
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/9627
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal