A majorant criterion for the total preservation of global solvability of controlled functional operator equation
type: Item
instance of: scholarly article
title: A majorant criterion for the total preservation of global solvability of controlled functional operator equation
zbMATH Open document ID: 1244.47064
DOI: 10.3103/S1066369X11030108
author: A. V. Chernov
published in: Russian Mathematics
publication date: 2011-11-21T00:00:00Z
review text: The author formulates a nonlinear controlled functional operator equation in a Banach ideal space. The unique solvability proved by applied techniques from nonlinear functional analysis. Sufficient conditions for the global solvability of all controls from a pointwise bounded set are given. It should be noted here that the paper includes some examples which are of particular value, because the corresponding controlled value problems are reduced step by step to the considered equation for which one can obtain results applying classical techniques.
reviewed by: John T. Coletsos
Mathematics Subject Classification ID: 47N10
Mathematics Subject Classification ID: 49J15
Mathematics Subject Classification ID: 39B42
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 34K30
Mathematics Subject Classification ID: 93C25
zbMATH DE Number: 5975524
zbMATH Keywords: majorant criterion
zbMATH Keywords: global solvability
zbMATH Keywords: controlled functional operator equation
zbMATH Keywords: convex set
zbMATH Keywords: superposition
zbMATH Keywords: absolutely continuous
zbMATH Keywords: Volterra \(\delta\)-chain
MaRDI profile type: Publication
cites work: On functional Volterra equations
cites work: Q3218622
cites work: Q3836653
cites work: Q3785473
description: scientific article; zbMATH DE number 5975524