Differential inclusions with constraints in Banach spaces | Zendy

Aleksander Ćwiszewski | Zendy

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Differential inclusions with constraints in Banach spaces

Author(s) -

Aleksander Ćwiszewski

Publication year - 2002

Publication title -

topological methods in nonlinear analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.623

H-Index - 23

ISSN - 1230-3429

DOI - 10.12775/tmna.2002.028

Subject(s) - differential inclusion , mathematics , banach space , pure mathematics , compact space , solution set , measure (data warehouse) , mathematical analysis , set (abstract data type) , differential (mechanical device) , tangent , characterization (materials science) , geometry , computer science , materials science , database , engineering , nanotechnology , programming language , aerospace engineering

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

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