Approximate Controllability for Nonlinear Evolution Hemivariational Inequalities in Hilbert Spaces
From MaRDI portal
Publication:3195294
DOI10.1137/140994058zbMath1330.47074OpenAlexW1924182126MaRDI QIDQ3195294
Motreanu, Dumitru, Xiuwen Li, Zhen-Hai Liu
Publication date: 16 October 2015
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/140994058
fixed pointdifferential inclusionhemivariational inequalityapproximate controllabilitymultivalued map
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Evolution inclusions (34G25) Control/observation systems in abstract spaces (93C25)
Related Items
Nonsmooth dynamical systems: from the existence of solutions to optimal and feedback control ⋮ Time-varying integro-differential inclusions with Clarke sub-differential and non-local initial conditions: existence and approximate controllability ⋮ Evolutionary quasi-variational-hemivariational inequalities. I: Existence and optimal control ⋮ Optimal feedback control for a class of second-order evolution differential inclusions with Clarke’s subdifferential ⋮ An analysis regarding to approximate controllability for Hilfer fractional neutral evolution hemivariational inequality ⋮ Results on approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type ⋮ Existence and approximate controllability of fractional evolution equations with nonlocal conditions via resolvent operators ⋮ Approximate controllability of non-autonomous second-order evolution hemivariational inequalities with nonlocal conditions ⋮ Approximate controllability analysis of impulsive neutral functional hemivariational inequalities ⋮ On the existence of solutions and Tikhonov regularization of hemivariational inequality problems ⋮ A new class of generalized quasi-variational inequalities with applications to Oseen problems under nonsmooth boundary conditions ⋮ Weak solutions to the generalized Navier-Stokes equations with mixed boundary conditions and implicit obstacle constraints ⋮ Optimal Obstacle Control Problems Involving Nonsmooth Cost Functionals and Quasilinear Variational Inequalities ⋮ Approximate controllability for fractional semilinear parabolic equations ⋮ Second order evolutionary problems driven by mixed quasi-variational-hemivariational inequalities ⋮ On solving general split equality variational inclusion problems in Banach space ⋮ Existence of solutions for space-fractional parabolic hemivariational inequalities ⋮ Approximate controllability for a class of second-order stochastic evolution inclusions of Clarke's subdifferential type ⋮ Optimal control of an evolution hemivariational inequality involving history-dependent operators ⋮ On the approximate controllability for fractional evolution hemivariational inequalities ⋮ Application of penalty methods to generalized variational inequalities in Banach spaces ⋮ Relaxation in nonconvex optimal control for nonlinear evolution hemivariational inequalities ⋮ Evolutionary problems driven by variational inequalities ⋮ Controllability of nonlinear impulsive integro-differential fractional time-invariant systems ⋮ Degenerate type fractional evolution hemivariational inequalities and optimal controls via fractional resolvent operators ⋮ Existence and approximate controllability of non-autonomous functional impulsive evolution inclusions in Banach spaces ⋮ A system of evolutionary problems driven by a system of hemivariational inequalities ⋮ On the ``bang-bang principle for nonlinear evolution hemivariational inequalities control systems ⋮ Simultaneous distributed-boundary optimal control problems driven by nonlinear complementarity systems ⋮ Sensitivity analysis of optimal control problems driven by dynamic history-dependent variational-hemivariational inequalities ⋮ Solvability and pullback attractor for a class of differential hemivariational inequalities with its applications
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Systems of nonlinear hemivariational inequalities and applications
- Existence theorems of the hemivariational inequality governed by a multi-valued map perturbed with a nonlinear term in Banach spaces
- Approximate controllability of differential inclusions in Hilbert spaces
- Inequality problems of quasi-hemivariational type involving set-valued operators and a nonlinear term
- Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems
- Approximate controllability for a class of hemivariational inequalities
- Variational-hemivariational inequalities with small perturbations of nonhomogeneous Neumann boundary conditions
- Relaxation in nonconvex optimal control problems with subdifferential operators
- Existence results for variational-hemivariational problems with lack of convexity
- Semigroups of linear operators and applications to partial differential equations
- Non-convex superpotentials in the sense of F. H. Clarke and applications
- Infinite dimensional linear systems theory
- Semilinear functional differential equations in Banach space
- Minimax theorems and qualitative properties of the solutions of hemivariational inequalities
- Variational and non-variational methods in nonlinear analysis and boundary value problems
- Extremal solutions of quasilinear parabolic inclusions with generalized Clarke's gradient.
- Boundary hemivariational inequality problems with doubly nonlinear operators
- Exact null controllability of non-autonomous functional evolution systems with nonlocal conditions
- A class of quasilinear elliptic hemivariational inequality problems
- Approximate controllability of evolution systems with nonlocal conditions
- Existence results for quasilinear parabolic hemivariational inequalities
- Multi-Valued Parabolic Variational Inequalities and Related Variational-Hemivariational Inequalities
- Approximate controllability of fractional functional evolution inclusions with delay in Hilbert spaces
- On boundary variational–hemivariational inequalities of elliptic type
- Quasi-Static Hemivariational Inequality via Vanishing Acceleration Approach
- Optimization and nonsmooth analysis
- Optimal control of systems governed by hemivariational inequalities. Existence and approximation results
- Existence Results For Inequality Problems
- Controllability of linear stochastic systems
- Browder–Tikhonov regularization of non-coercive evolution hemivariational inequalities
- On Concepts of Controllability for Deterministic and Stochastic Systems
- Positive solutions and multiple solutions at non-resonance, resonance and near resonance for hemivariational inequalities with 𝑝-Laplacian
- Control systems of subdifferential type depending on a parameter
- Existence of solutions and optimal control problems for hyperbolic hemivariational inequalities
- Optimal control of parabolic hemivariational inequalities
- On existence of solutions for parabolic hemivariational inequalities
