Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 66, pp. 1-12.

Title: Impulsive differential inclusions with constrains

Author: Tzanko Donchev (Univ. of Architecture, Sofia, Bulgaria)

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.
 
Submitted March 27, 2006. Published May 26, 2006.
Math Subject Classifications: 34A60, 34A37, 34B15, 49K24.
Key Words: Impulsive differential inclusions; constrains; 
           invariant solutions.