Existence of slow solutions for a class of differential inclusions
From MaRDI portal
Publication:762662
DOI10.1016/0022-247X(83)90032-XzbMath0558.34011MaRDI QIDQ762662
Publication date: 1983
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Related Items
Lyapunov functions for evolution variational inequalities with uniformly prox-regular sets ⋮ Asymptotical well behaviour for constrained minimisation problems ⋮ The problem of optimal control with reflection studied through a linear optimization problem stated on occupational measures ⋮ Viscosity solutions for partial differential equations with Neumann type boundary conditions and some aspects of Aubry-Mather theory ⋮ Existence theory for nonlinear distributed parameter optimal control problems ⋮ Regularization of differential variational inequalities with locally prox-regular sets ⋮ Optimality conditions for reflecting boundary control problems ⋮ On the Solution Set of Differential Inclusions with State Constraints ⋮ Sweeping processes with prescribed behavior on jumps ⋮ Multivalued perturbations of subdifferential type evolution equations in Hilbert spaces ⋮ Well-posedness, stability and invariance results for a class of multivalued Lur'e dynamical systems ⋮ Differential inclusions with state constraints ⋮ Projection Process with Definable Right-Hand Side ⋮ Slow and Quasi-slow solutions of differential inclusions ⋮ Sweeping process with regular and nonregular sets. ⋮ Double-layered dynamics: a unified theory of projected dynamical systems and evolutionary variational inequalities ⋮ A continuous gradient-like dynamical approach to Pareto-optimization in Hilbert spaces ⋮ A dynamic gradient approach to Pareto optimization with nonsmooth convex objective functions ⋮ New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ Minimax control of nonlinear evolution equations ⋮ Existence and relaxation for finite-dimensional optimal control problems driven by maximal monotone operators ⋮ Regularization of nonconvex sweeping process in Hilbert space ⋮ Convex sweeping process in the framework of measure differential inclusions and evolution variational inequalities ⋮ Nonconvex sweeping process with a moving set depending on the state ⋮ On smoothness of solutions to projected differential equations ⋮ Monotonicity and existence of periodic orbits for projected dynamical systems on Hilbert spaces ⋮ Existence of solutions for a second order boundary value problem with the Clarke subdifferential ⋮ Periodic solutions for time-dependent subdifferential evolution inclusions ⋮ Semiconcave solutions of partial differential inclusions ⋮ Efficient, Pareto-improving processes ⋮ An approximation scheme for reflected stochastic differential equations ⋮ Convex valued geodesics and applications to sweeping processes with bounded retraction ⋮ Projected dynamical systems and evolutionary variational inequalities via Hilbert spaces with applications ⋮ On the equivalence between complementarity systems, projected systems and differential inclusions ⋮ On Parametric Evolution Inclusions of the Subdifferential Type with Applications to Optimal Control Problems ⋮ Reflected dynamics: viscosity analysis for \(\mathbb{L}^\infty\) cost, relaxation and abstract dynamic programming ⋮ Solvability of unilateral parabolic problems and variational inequalities ⋮ Parametrized relaxation for evolution inclusions of the subdifferential type ⋮ Nonsmooth dynamics of generalized Nash games ⋮ Projected Dynamical Systems on Irregular, Non-Euclidean Domains for Nonlinear Optimization ⋮ Sweeping process with right uniformly lower semicontinuous mappings ⋮ Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability ⋮ Some results associated to first-order set-valued evolution problems with subdifferentials ⋮ Almost mixed semi-continuous perturbation of Moreau's sweeping process ⋮ The Minimum Time Function for the Controlled Moreau's Sweeping Process ⋮ On characterizations of submanifolds via smoothness of the distance function in Hilbert spaces ⋮ Existence and Lyapunov pairs for the perturbed sweeping process governed by a fixed set ⋮ Existence of monotone and slow solutions for differential inclusions ⋮ Optimal control and admissible relaxation for subdifferential evolution inclusions ⋮ On the existence of solutions of a class of differential inclusions on a compact set ⋮ Optimal Control of the Sweeping Process with a Nonsmooth Moving Set ⋮ Optimal control, sensitivity analysis and relaxation of maximal monotone integro-differential inclusions in \(\mathbb{R}^ N\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Monotone trajectories of differential inclusions and functional differential inclusions with memory
- Generalized gradients of Lipschitz functionals
- Monotone trajectories of multivalued dynamical systems
- On multivalued evolution equations in Hilbert spaces
- An existence theorem for a class of differential equations with multivalued right-hand side
- Strong and Weak Convexity of Sets and Functions
- Clarke's tangent cones and the boundaries of closed sets in Rn
- Topological properties of the sets of solutions for functional differential inclusions
- Generalized Gradients and Applications
- Stability Theorems with Economic Applications
- Multivalued Differential Equations and Ordinary Differential Equations