Generators of Analytic Resolving Families for Distributed Order Equations and Perturbations

Linear differential equations of a distributed order with an unbounded operator in a Banach space are studied in this paper. A theorem on the generation of analytic resolving families of operators for such equations is proved. It makes it possible to study the unique solvability of inhomogeneous equ...

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Bibliographic Details

Published in:	Mathematics
Main Author:	Vladimir E. Fedorov
Format:	Article
Language:	English
Published:	MDPI AG 2020-08-01
Subjects:	distributed order equation analytic resolving family of operators generator of resolving family perturbation theorem
Online Access:	https://www.mdpi.com/2227-7390/8/8/1306