A Baire category approach to the bang-bang property

DOI10.1006/JDEQ.1995.1038zbMath0820.49002arXivfunct-an/9205001OpenAlexW2093304540WikidataQ59264177 ScholiaQ59264177MaRDI QIDQ1346228

Alberto Bressan, Benedetto Piccoli

Publication date: 22 March 1995

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/funct-an/9205001

zbMATH Keywords

differential inclusionsLyapunov convexity theorembang-bang solutionsCarathéodory solutionsHausdorff continuous multifunction

Mathematics Subject Classification ID

Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30)

Related Items (8)

Weak and generic bang-bang properties for continuous evolution inclusions and Baire's method ⋮ \(L_ p\)-continuous extreme selectors of multifunctions with decomposable values: Existence theorems ⋮ Extremal solutions of differential inclusions via Baire category: a dual approach ⋮ Baire category and boundary value problems for ordinary and partial differential inclusions under Carathéodory assumptions ⋮ The bang-bang theorem via Baire category: a dual approach ⋮ Random extremal solutions of differential inclusions ⋮ Baire's category and relaxation problems for locally Lipschitzian differential inclusions on finite and infinite time intervals ⋮ Relaxation theorem for the evolution differential inclusions

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