Differential inclusions with constraints in Banach spaces
KeywordsSet-valued map, Clarke derivative, generalized gradient, topological structure, solution set
AbstractThe 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.
How to Cite
ĆWISZEWSKI, Aleksander. Differential inclusions with constraints in Banach spaces. Topological Methods in Nonlinear Analysis [online]. 1 September 2002, T. 20, nr 1, s. 119–134. [accessed 8.2.2023].
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