On the bang-bang principle for nonlinear evolution inclusions

DOI10.1007/BF01855884zbMath0780.34045MaRDI QIDQ1801345

Nikolaos S. Papageorgiou

Publication date: 23 January 1994

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137527

zbMATH Keywords

existencebang-bang principlenonlinear parabolic distributed parameter systemextremal solutions of control systemsnonlinear evolution inclusions in Hilbert spacenonlinear infinite dimensional control systems

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Nonlinear differential equations in abstract spaces (34G20) Ordinary differential inclusions (34A60) Control/observation systems in abstract spaces (93C25)

Related Items (10)

A continuous version of the relaxation theorem for nonlinear evolution inclusions ⋮ Weak and generic bang-bang properties for continuous evolution inclusions and Baire's method ⋮ Baire category and boundary value problems for ordinary and partial differential inclusions under Carathéodory assumptions ⋮ Properties of the set of admissible ``State control pair for a class of fractional semilinear evolution control systems ⋮ Baire category and the weak bang-bang property for continuous differential inclusions ⋮ Baire's category and the bang-bang property for evolution differential inclusions of contractive type ⋮ Extremal solutions and relaxation problems for fractional differential inclusions ⋮ Baire's category in existence problems for non-convex lower semicontinuous evolution differential inclusions ⋮ On the ``bang-bang principle for nonlinear evolution hemivariational inequalities control systems ⋮ Baire's category and relaxation problems for locally Lipschitzian differential inclusions on finite and infinite time intervals

Cites Work

• Non-convex-valued differential inclusions in Banach spaces
• On the theory of Banach space valued multifunctions. I: Integration and conditional expectation
• Continuous selections for a class of non-convex multivalued maps
• Extensions and selections of maps with decomposable values
• Continuous dependence results for a class of evolution inclusions
• Survey of Measurable Selection Theorems
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