On a class of implicit differential inclusions
type: Item
instance of: scholarly article
title: On a class of implicit differential inclusions
zbMATH Open document ID: 0603.34011
DOI: 10.1016/0022-0396(86)90046-X
author: Georg Wenzel
published in: Journal of Differential Equations
publication date: 1986-01-01T00:00:00Z
review text: The author establishes existence of solutions for a class of implicit differential inclusions equivalent to explicit relations with nonconvex- valued, yet only upper semicontinuous right-hand side. Moreover, the set of stationary points is shown to be asymptotically stable if both of the set-valued maps involved are monotone and one of them is a subdifferential. Essentially, the primitive of the latter can be used as a natural Lyapunov function.
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 34A12
zbMATH DE Number: 3973326
zbMATH Keywords: implicit differential inclusions
zbMATH Keywords: Lyapunov function
reviewed by: V. Lakshmikantham
MaRDI profile type: Publication
cites work: Q3324260
cites work: Q5665783
cites work: Contributions to the theory of generalized differential equations. II
cites work: Generalized Gradients and Applications
cites work: On Certain Questions in the Theory of Optimal Control
cites work: Q5598785
cites work: Q4084565
cites work: On the fundamental theory of multivalued differential equations
cites work: Q5638112
cites work: Local boundedness of nonlinear, monotone operators
cites work: Stability theory by Liapunov's direct method
cites work: Q5760557
description: scientific article; zbMATH DE number 3973326