Necessary and sufficient conditions for local invariance for semilinear differential inclusions

DOI10.1007/s11228-011-0173-0zbMath1257.34045OpenAlexW2077934454MaRDI QIDQ763336

Victor Postolache, Ovidiu Cârjǎ

Publication date: 9 March 2012

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-011-0173-0

zbMATH Keywords

optimal controlinvariancedifferential inclusionLipschitzsemilineartangency

Mathematics Subject Classification ID

Evolution inclusions (34G25) Optimality conditions for problems in abstract spaces (49K27) Optimality conditions for problems involving relations other than differential equations (49K21)

Related Items (4)

Nonlinear evolution inclusions with one-sided Perron right-hand side ⋮ Near viability for fully nonlinear differential inclusions ⋮ Lyapunov pairs in semilinear differential problems with state-dependent impulses ⋮ Invariance and strict invariance for nonlinear evolution problems with applications

Cites Work

• A priori estimates for operational differential inclusions
• Convex analysis and measurable multifunctions
• Measurable viability theorems and the Hamilton-Jacobi-Bellman equation
• Strong invariance and one-sided Lipschitz multifunctions
• Approximate invariance and differential inclusions in Hilbert spaces
• The Minimum Time Function for Semilinear Evolutions
• Functional differential inclusion with monotone right-hand side
• Necessary and sufficient conditions for viability for semilinear differential inclusions
• Viability theory

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