Functions of shift operator and their applications to difference equations |
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Authors: | A V Chaikovs’kyi |
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Institution: | (1) Departments of Mathematics and Computer Science, University of Miami, Coral Gables, FL 3124, USA;(2) Department of Mathematics, National Taiwan University, Taipei, Taiwan |
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Abstract: | We study the representation for functions of shift operator acting upon bounded sequences of elements of a Banach space. An
estimate is obtained for the bounded solution of a linear difference equation in the Banach space. For two types of differential
equations in Banach spaces, we present sufficient conditions for their bounded solutions to be limits of bounded solutions
of the corresponding difference equations and establish estimates for the rate of convergence. |
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Keywords: | |
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