Operator Equations of the Second Kind: Theorems on the Existence and Uniqueness of the Solution and on the Preservation of Solvability

This paper continues the author’s research on the problem of preserving the solvability of controlled operator equations. As a preliminary result (which is of independent interest) for a general operator acting on an arbitrary Banach space , new theorems on the existence and uniqueness of a fixed po...

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Bibliographic Details

Published in:	Differential equations Vol. 58; no. 5; pp. 649 - 661
Main Author:	Chernov, A. V.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01.05.2022 Springer Springer Nature B.V
Subjects:	Banach spaces Difference and Functional Equations Differential equations Existence theorems Linear operators Lipschitz condition Mathematical analysis Mathematics Mathematics and Statistics Nonlinear control Operators (mathematics) Ordinary Differential Equations Partial Differential Equations Uniqueness
ISSN:	0012-2661, 1608-3083
Online Access:	Get full text
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