Impulsive differential inclusions with constrains
Date
2006-05-26
Authors
Donchev, Tzanko
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In the paper, we study weak invariance of differential inclusions with non-fixed time impulses under compactness type assumptions. When the right-hand side is one sided Lipschitz an extension of the well known relaxation theorem is proved. In this case also necessary and sufficient condition for strong invariance of upper semi continuous systems are obtained. Some properties of the solution set of impulsive system (without constrains) in appropriate topology are investigated.
Description
Keywords
Impulsive differential inclusions, Constrains, Invariant solutions
Citation
Donchev, T. (2006). Impulsive differential inclusions with constrains. Electronic Journal of Differential Equations, 2006(66), pp. 1-12.
Rights
Attribution 4.0 International