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|Title:||Approximate solution to abstract differential equations with variable domain|
|Keywords:||First order differential equations in Banach space|
operator coefficient with a variable domain
|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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