Differential inclusions with constraints in Banach spaces

Abstract

The paper provides topological characterization
for solution sets of differential inclusions with (not necessarily smooth)
functional constraints in Banach spaces.
The corresponding compactness and tangency conditions
for the right hand-side are expressed in terms of the measure of
noncompactness and the Clarke generalized gradient, respectively.
The consequences of the obtained result generalize the known
theorems about the structure of viable solution set for differential
inclusions.