Controllability for impulsive semilinear functional differential inclusions with a non-compact evolution operator

DOI10.7151/dmdico.1127zbMath1264.93022OpenAlexW2324502594MaRDI QIDQ2906251

Irene Benedetti, Pietro Zecca, Valerii V. Obukhovskij

Publication date: 5 September 2012

Published in: Discussiones Mathematicae. Differential Inclusions, Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5e060b421c2a45e5067974a98c94f54b1cb70841

zbMATH Keywords

controllabilitywave equationfixed-pointmild solutionHausdorff measurecontrol systemimpulsive semilinear functional differential inclusionscondensing multimapjump functionsmultivalued nonlinearitynon-compact evolution operatornoncompact evolution operator

Mathematics Subject Classification ID

Controllability (93B05) Functional-differential equations with impulses (34K45) Fixed-point theorems (47H10) Set-valued operators (47H04) Degree theory for nonlinear operators (47H11) Evolution inclusions (34G25) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08) Functional-differential inclusions (34K09)

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