Article ID Journal Published Year Pages File Type
4624321 Journal of Mathematical Analysis and Applications 2006 20 Pages PDF
Abstract

In this paper we present some results on the question of existence of generalized or measure valued solutions for semilinear impulsive evolution equations on Banach spaces with the nonlinear parts being merely measurable and bounded on bounded sets. This is a far reaching generalization of the previous results of the author and others. It may be interesting to consider extension of the results of this paper to cover impulsive differential inclusions and their potential applications to control theory and uncertain dynamics.

Related Topics
Physical Sciences and Engineering Mathematics Analysis