Strong invariance and one-sided Lipschitz multifunctions

Authors

T. Donchev, University of Architecture, Civil Engineering and Geodesy
V. Ríos, Louisiana State University
P. Wolenski, Louisiana State University

Document Type

Article

Publication Date

2-1-2005

Abstract

The strong invariance property of a differential inclusion in finite dimensions under the hypothesis of a locally one-sided Lipschitz was studied. It was found that the invariant properties of dynamical systems originate in flow-invariant theory of ordinary differential equations. It was also found that the pair of weak invariance (S,F) was equivalent to the tangential-type condition F(x) ∈ T^BS(x) for all x ∈ S. The result show that perception of weak and strong invariance are distinct unless the solutions of the dynamic equation are unique.

Publication Source (Journal or Book title)

Nonlinear Analysis Theory Methods and Applications

First Page

849

Last Page

862

Recommended Citation

Donchev, T., Ríos, V., & Wolenski, P. (2005). Strong invariance and one-sided Lipschitz multifunctions. Nonlinear Analysis Theory Methods and Applications, 60 (5), 849-862. https://doi.org/10.1016/j.na.2004.09.050