Viability theorems for a class of differential-operator inclusions

DOI10.1016/0022-0396(89)90101-0zbMath0694.34011OpenAlexW2095599807MaRDI QIDQ909082

Shuzhong Shi

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-0396(89)90101-0

zbMATH Keywords

differential inclusionglobal solutionviability

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) General theory of ordinary differential operators (47E05)

Related Items (20)

Invariance for quasi-dissipative systems in Banach spaces ⋮ A viability theorem for set-valued states in a Hilbert space ⋮ Partial asymptotic null controllability for semilinear evolution equations in Hilbert spaces ⋮ Viability in a non-local population model structured by size and spatial position ⋮ Tangent sets, viability for differential inclusions and applications ⋮ Viability Kernels and Capture Basins for Analyzing the Dynamic Behavior: Lorenz Attractors, Julia Sets, and Hutchinson’s Maps ⋮ Viability for nonlinear multi-valued reaction-diffusion systems ⋮ Cadenced runs of impulse and hybrid control systems ⋮ Feedback spreading controls for semilinar parabolic systems ⋮ Domain invariance for local solutions of semilinear evolution equations in Hilbert spaces ⋮ Partial differential inclusions of transport type with state constraints ⋮ A remark on flow invariance for semilinear parabolic equations ⋮ Necessary and sufficient conditions for viability for semilinear differential inclusions ⋮ Viability for semilinear differential inclusions via the weak sequential tangency condition ⋮ Necessary and sufficient conditions for viability for nonlinear evolution inclusions ⋮ Feedback spreading control laws for semilinear distributed parameter systems ⋮ Invariance and strict invariance for nonlinear evolution problems with applications ⋮ Viability for nonautonomous semilinear differential equations ⋮ Impulse capture basins of sets under impulse control systems ⋮ Conditional viability for impulse differential games

Cites Work

• Semilinear equations with dissipative time-dependent domain perturbations
• Semigroups of linear operators and applications to partial differential equations
• Monotone trajectories of differential inclusions and functional differential inclusions with memory
• Nagumo type condition for partial differential inclusions
• Differential Equations on Closed Subsets of a Banach Space
• Invariant sets for a class of semi-linear equations of evolution
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