Viability for nonautonomous semilinear differential equations

DOI10.1006/jdeq.2000.3807zbMath0966.34053OpenAlexW1968998982MaRDI QIDQ1586114

Manuel D. P. Monteiro Marques, Ovidiu Cârjǎ

Publication date: 12 March 2001

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

Full work available at URL: https://doi.org/10.1006/jdeq.2000.3807

zbMATH Keywords

mild solutioninfinitesimal generatorviabilitycompact \(C_0\)-semigroupnonautonomous semilinear differential equations

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (11)

Viability for semilinear differential equations with infinite delay ⋮ Viability for a class of semilinear differential equations of retarded type ⋮ Viability for stochastic functional differential equations with infinite memory driven by a fractional Brownian motion ⋮ Invariant sets for a class of semilinear delay differential equations with non-dense domain ⋮ Evolution equations on locally closed graphs and applications mihai necula, marius popescu, ioan I. Vrabie ⋮ A Viability Result for Nonlinear Evolution Equations on Locally Closed Graphs ⋮ Flow invariance for semilinear evolution equations under generalized dissipativity conditions ⋮ Viability for coupled SDEs driven by fractional Brownian motion ⋮ Viability for stochastic functional differential equations in Hilbert spaces driven by fractional Brownian motion ⋮ Viability for differential inclusions on graphs ⋮ Viability property for multi-dimensional stochastic differential equation and its applications to comparison theorem

Cites Work

• Viability theorems for a class of differential-operator inclusions
• Semigroups of linear operators and applications to partial differential equations
• Monotone trajectories of differential inclusions and functional differential inclusions with memory
• A general principle on ordered sets in nonlinear functional analysis
• Measurable viability theorems and the Hamilton-Jacobi-Bellman equation
• Some new viability results for semilinear differential inclusions
• Contingent solutions for the Bellmann equation in infinite dimensions
• A Generalization of Peano's Existence Theorem and Flow Invariance
• Scorza Dragoni type theorems
• Differential Equations on Closed Subsets of a Banach Space
• Invariant sets for a class of semi-linear equations of evolution
• Intégrandes normales et mesures paramétrées en calcul des variations
• On Invariant Sets and on a Theorem of Wazewski
• On a characterization of flow‐invariant sets
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