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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.
Appears in Collections:Наукові роботи співробітників кафедри прикладної математики

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