Necessary and sufficient conditions for viability for semilinear differential inclusions

DOI10.1090/S0002-9947-08-04668-0zbMath1172.34040MaRDI QIDQ3600642

Ioan I. Vrabie, Ovidiu Cârjǎ, Mihai Necula

Publication date: 5 February 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

differential inclusionapproximate solutionviabilitytangency condition

Mathematics Subject Classification ID

Evolution inclusions (34G25) Nonlinear evolution equations (47J35)

Related Items (14)

Approximate and near weak invariance for nonautonomous differential inclusions ⋮ Viability for quasi-autonomous semilinear evolution inclusions ⋮ Approximate weak invariance for differential inclusions in Banach spaces ⋮ Tangent sets, viability for differential inclusions and applications ⋮ Evolution equations on locally closed graphs and applications mihai necula, marius popescu, ioan I. Vrabie ⋮ Lower semi-continuity of the solution set for semilinear differential inclusions ⋮ Viability for nonlinear multi-valued reaction-diffusion systems ⋮ Nonsmooth Lyapunov pairs for infinite-dimensional first-order differential inclusions ⋮ Approximate weak invariance for semilinear differential inclusions in Banach spaces ⋮ One-sided Perron differential inclusions ⋮ Nonlinear evolution equations on locally closed graphs ⋮ Lyapunov pairs for multi-valued semi-linear evolutions ⋮ Extremal shift rule and viability property for mean field-type control systems ⋮ Necessary and sufficient conditions for local invariance for semilinear differential inclusions

Cites Work

• Viability theorems for a class of differential-operator inclusions
• A general principle on ordered sets in nonlinear functional analysis
• Some new viability results for semilinear differential inclusions
• Weak tangency, weak invariance, and Carathéodory mappings
• Approximate invariance and differential inclusions in Hilbert spaces
• On the minimum time function and the minimum energy problem; a nonlinear case
• The Wazewski topological method for contingent equations
• Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
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