Locating Theorems of Differential Inclusions Governed by Maximally Monotone Operators

DOI10.1137/22m1523030zbMath1529.37011arXiv2210.08950OpenAlexW4306802959MaRDI QIDQ6076866

Michel Théra, Minh N. Dao, Hassan Saoud

Publication date: 17 October 2023

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.08950

zbMATH Keywords

Lyapunov functionsinvariance principle\(\omega\)-limit setmaximally monotone operatornonsmooth dynamical systemslocation theorem

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Evolution inclusions (34G25) Nonlinear evolution equations (47J35) Variational and other types of inclusions (47J22)

Cites Work

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• Nonsmooth Lyapunov pairs for differential inclusions governed by operators with nonempty interior domain
• Asymptotic behavior of a class of evolution variational inequalities
• Nonsmooth Lyapunov pairs for infinite-dimensional first-order differential inclusions
• Continuous dynamics related to monotone inclusions and non-smooth optimization problems
• Locating omega-limit sets using height functions
• Asymptotic convergence of nonlinear contraction semigroups in Hilbert space
• A second-order gradient-like dissipative dynamical system with Hessian-driven damping. Application to optimization and mechanics.
• A stability theory for second-order nonsmooth dynamical systems with application to friction problems.
• Lyapunov stability of differential inclusions with Lipschitz Cusco perturbations of maximal monotone operators
• Study of a driven and braked wheel using maximal monotone differential inclusions: applications to the nonlinear dynamics of wheeled vehicles
• Nonlinear semigroups in Hilbert space
• Local boundedness of nonlinear, monotone operators
• Semi-groups of nonlinear contractions and dissipative sets
• Solutions faibles d'équations d'évolution dans les espaces de Hilbert. (Weak solution of evolution equations in Hilbert spaces)
• The Convergence Problem for Dissipative Autonomous Systems
• Evolution equations for maximal monotone operators: asymptotic analysis in continuous and discrete time
• A Variational Approach to Nonsmooth Dynamics
• Functional Analysis, Calculus of Variations and Optimal Control
• Extensions of Lipschitz selections and an application to differential inclusions
• ω-Limit Sets for Differential Inclusions
• Computing Omega-Limit Sets in Linear Dynamical Systems
• Variational Analysis
• Variational Analysis and Applications
• Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability
• Nonlinear Differential Equations of Monotone Types in Banach Spaces
• Convex analysis and monotone operator theory in Hilbert spaces
• Numerical optimization. Theoretical and practical aspects. Transl. from the French