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

Files in This Item:
File Description SizeFormat 
1003.2537.pdf190.8 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.