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BV Swee** Process Involving Prox-Regular Sets and a Composed Perturbation
In this paper we study the existence and properties of solutions for a discontinuous swee** process involving prox-regular sets in a Hilbert...
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Effective property of piezoelectric composites containing coated nano-elliptical fibers with interfacial debonding
Based on both the spring layer interface model and the Gurtin-Murdoch surface/interface model, the anti-plane shear problem is studied for...
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Continuity of the non-convex play operator in the space of rectifiable curves
We prove that the vector play operator with a uniformly prox-regular characteristic set of constraints is continuous with respect to the BV -norm and...
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Convergence rates for boundedly regular systems
In this work, we consider a continuous dynamical system associated with the fixed point set of a nonexpansive operator which was originally studied...
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Viscous Approximations of Non-Convex Swee** Processes in the Space of Regulated Functions
Vanishing viscosity approximations are considered here for discontinuous swee** processes with non-convex constraints. It is shown that they are...
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Nonsmooth Feedback Control for Multi-Agent Dynamics
We investigate a control problem with a large number of agents – a crowd. This multi-agent system is modelized by a set, each point of which is the...
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Evolution Inclusions Governed by Time-Dependent Maximal Monotone Operators with a Full Domain
In this paper, we study the existence of solutions for evolution inclusions governed by time-dependent maximal monotone operators with a full domain....
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On Fractional Evolution Inclusion Coupled with a Time and State Dependent Maximal Monotone Operator
The paper deals with second-order evolution problems driven by time and state dependent maximal monotone operators with non-Lipschitz perturbations....
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Continuous Dynamics Related to Monotone Inclusions and Non-Smooth Optimization Problems
The aim of this survey is to present the main important techniques and tools from variational analysis used for first and second order dynamical...
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Existence and Lyapunov Pairs for the Perturbed Swee** Process Governed by a Fixed Set
The aim of this paper is to prove existence results for a class of swee** processes in Hilbert spaces by using the catching-up algorithm. These...
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A Maximum Principle for the Controlled Swee** Process
We consider the free endpoint Mayer problem for a controlled Moreau process, the control acting as a perturbation of the dynamics driven by the...
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Convergence analysis on Browder-Tikhonov regularization for second-order evolution hemivariational inequality
This paper studies the Browder-Tikhonov regularization of a second-order evolution hemivariational inequality (SOEHVI) with non-coercive operators....
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Relaxation Results for Nonlinear Evolution Inclusions with One-sided Perron Right-hand Side
In a Banach space X , we study the evolution inclusion of the form x ′ ( t )∈ A x ( t )+ F ( t , x ( t )), where A is an m-dissipative operator and F is an almost...
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Strong and Weak Solutions to Second Order Differential Inclusions Governed by Monotone Operators
In this paper we introduce the concept of a weak solution for second order differential inclusions of the form u ″( t ) ∈ Au ( t ) + f ( t ), where A is a...
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Controllability for systems governed by semilinear evolution inclusions without compactness
In this paper we study the controllability for a class of semilinear differential inclusions in Banach spaces. Since we assume the regularity of the...