An Ishikawa-hybrid proximal point algorithm for nonlinear set-valued inclusions problem based on -accretive framework.
An isoperimetric inequality in R3
An iterative algorithm for generalized nonlinear variational inclusions with relaxed strongly accretive mappings in Banach spaces.
An iterative algorithm for mixed equilibrium problems and variational inclusions approach to variational inequalities.
An iterative method for generalized equilibrium problems, fixed point problems and variational inequality problems.
An iterative method for nonconvex equilibrium problems.
An iterative method for solving the generalized system of relaxed cocoercive quasivariational inclusions and fixed point problems of an infinite family of strictly pseudocontractive mappings.
An iterative scheme with a countable family of nonexpansive mappings for variational inequality problems in Hilbert spaces.
An L2-Error Estimate for an Approximation of the Solution of a Parabolic Variational Inequality.
An L...-Estimate for the gradient of extremals.
An observability estimate for parabolic equations from a measurable set in time and its applications
This paper presents a new observability estimate for parabolic equations in , where is a convex domain. The observation region is restricted over a product set of an open nonempty subset of and a subset of positive measure in . This estimate is derived with the aid of a quantitative unique continuation at one point in time. Applications to the bang-bang property for norm and time optimal control problems are provided.
An optimal control approach to cancer treatment under immunological activity
Mathematical models for cancer treatment that include immunological activity are considered as an optimal control problem with an objective that is motivated by a separatrix of the uncontrolled system. For various growth models on the cancer cells the existence and optimality of singular controls is investigated. For a Gompertzian growth function a synthesis of controls that move the state into the region of attraction of a benign equilibrium point is developed.
An optimal control problem for a fourth-order variational inequality
An optimal control problem is considered where the state of the system is described by a variational inequality for the operator w → εΔ²w - φ(‖∇w‖²)Δw. A set of nonnegative functions φ is used as a control region. The problem is shown to have a solution for every fixed ε > 0. Moreover, the solvability of the limit optimal control problem corresponding to ε = 0 is proved. A compactness property of the solutions of the optimal control problems for ε > 0 and their relation with the limit problem...
An optimal control problem for a generalized Boussinesq model: The time dependent case.
An Optimal Control Problem for a Predator-Prey Reaction-Diffusion System
An optimal control problem is studied for a predator-prey system of PDE, with a logistic growth rate of the prey and a general functional response of the predator. The control function has two components. The purpose is to maximize a mean density of the two species in their habitat. The existence of the optimal solution is analyzed and some necessary optimality conditions are established. The form of the optimal control is found in some particular...
An optimal control problem for a pseudoparabolic variational inequality
We deal with an optimal control problem governed by a pseudoparabolic variational inequality with controls in coefficients and in convex sets of admissible states. The existence theorem for an optimal control parameter will be proved. We apply the theory to the original design problem for a deffection of a viscoelastic plate with an obstacle, where the variable thickness of the plate appears as a control variable.
An optimal control problem for an elliptic variational inequality
An optimal control problem for Helmholtz equation with non-local boundary conditions and quadratic funtional
An optimal control problem in economics.
An optimal decision procedure using dynamic programming technique