Please use this identifier to cite or link to this item:
https://er.nau.edu.ua/handle/NAU/19118
Title: | Approximate solution to abstract differential equations with variable domain |
Authors: | Vasylyk, V.B. |
Keywords: | First order differential equations in Banach space operator coefficient with a variable domain |
Issue Date: | Mar-2010 |
Abstract: | A new exponentially convergent algorithm is proposed for an abstract the first order differential equation with unbounded operator coefficient possessing a variable domain. The algorithm is based on a generalization of the Duhamel integral for vector-valued functions. This technique translates the initial problem to a system of integral equations. Then the system is approximated with exponential accuracy. The theoretical results are illustrated by examples associated with the heat transfer boundary value problems. |
URI: | http://er.nau.edu.ua/handle/NAU/19118 |
Appears in Collections: | Наукові роботи співробітників кафедри прикладної математики |
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File | Description | Size | Format | |
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1003.2537.pdf | 190.8 kB | Adobe PDF | View/Open |
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