On the solvability of implicit differential inclusions

In the paper, the set-valued covering mappings are studied. The statements on solvability, solution estimates, and well-posedness of inclusions with conditionally covering mappings are proved. The results obtained are applied to the investigation of differential inclusions unsolved for the unknown f...

Full description

Saved in:

Bibliographic Details
Published in:	Applicable analysis Vol. 94; no. 1; pp. 129 - 143
Main Authors:	Arutyunov, Aram, de Oliveira, Valeriano Antunes, Lobo Pereira, Fernando, Zhukovskiy, Evgeniy, Zhukovskiy, Sergey
Format:	Journal Article
Language:	English
Published:	Abingdon Taylor & Francis 02-01-2015 Taylor & Francis Ltd
Subjects:	conditionally covering mapping Covering Differential equations Estimates Estimating techniques implicit differential inclusion Inclusions Lipschitz perturbation Mapping Problem solving
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	In the paper, the set-valued covering mappings are studied. The statements on solvability, solution estimates, and well-posedness of inclusions with conditionally covering mappings are proved. The results obtained are applied to the investigation of differential inclusions unsolved for the unknown function. The statements on solvability, solution estimates, and well-posedness of these inclusions are derived.
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
ISSN:	0003-6811 1563-504X
DOI:	10.1080/00036811.2014.891732