Convergence of Rothe scheme for hemivariational inequalities of parabolic type
, 2012 This article presents the convergence analysis of a sequence of piecewise constant and piecewise linear functions obtained by the Rothe method to the solution of the first order evolution partial differential inclusion $u'(t)+Au(t)+\iota^*\partial J ...
Kalita, Piotr
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A new class of dual systems of fractional differential equations with hemivariational inequalities
Journal of Inequalities and ApplicationsThe main goal of this paper is to analyze and study a new class of dual abstract systems that consists of differential hemivariational inequalities systematized by an evolutionary hemivariational inequality accumulated with a fractional differential ...
Mohd Adnan +5 more
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Existence and convergence theorems for evolutionary hemivariational inequalities of second order
Electronic Journal of Differential Equations, 2015 This article concerns with a class of evolutionary hemivariational inequalities in the framework of evolution triple. Based on the Rothe method, monotonicity-compactness technique and the properties of Clarke's generalized derivative and gradient, the
Zijia Peng, Cuie Xiao
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System of partial differential hemivariational inequalities involving nonlocal boundary conditions
Demonstratio MathematicaLet FPT, MNC, HVI, SEPDE, SMHVI, PGCDD, and NLBC represent the fixed point theorem, measure of noncompactness, hemivariational inequality, system of nonlinear evolutionary partial differential equations, system of mixed hemivariational inequalities ...
Ceng Lu-Chuan, Chen Boling, Yao Jen-Chih
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A note on hemivariational inequalities
Hokkaido Mathematical Journal, 2008 The purpose of this note is to establish some uniqueness results for hemivariational inequality.
openaire +2 more sources
The Dirichlet problem for discontinuous perturbations of the mean curvature operator in Minkowski space [PDF]
, 2015 Using the critical point theory for convex, lower semicontinuous perturbations of locally Lipschitz functionals, we prove the solvability of the discontinuous Dirichlet problem involving the operator $u\mapsto{div} (\frac{\nabla u}{\sqrt{1-|\nabla u|^2}})
Bereanu, Cristian +2 more
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On the Convergence of (Stochastic) Gradient Descent with Extrapolation for Non-Convex Optimization
, 2019 Extrapolation is a well-known technique for solving convex optimization and variational inequalities and recently attracts some attention for non-convex optimization. Several recent works have empirically shown its success in some machine learning tasks.
Jin, Rong +4 more
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Some hemivariational inequalities in the Euclidean space
Advances in Nonlinear Analysis, 2019 The purpose of this paper is to study the existence of weak solutions for some classes of hemivariational problems in the Euclidean space ℝd (d ≥ 3). These hemivariational inequalities have a variational structure and, thanks to this, we are able to find
Bisci Giovanni Molica, Repovš Dušan
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Existence results for nonlocal and nonsmooth hemivariational inequalities
Journal of Inequalities and Applications, 2006 We consider an elliptic hemivariational inequality with nonlocal nonlinearities. Assuming only certain growth conditions on the data, we are able to prove existence results for the problem under consideration.
Heikkilä S, Carl S
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Потраекторное поведение класса управляемых пьезоэлектрических полей с немонотонным потенциалом [PDF]
, 2014 Досліджено автономне включення другого порядку в обмеженій області, що моделює поведінку класу керованих п’єзоелектричних полів з немонотонним потенціалом.
Kasyanov, P. O. +5 more
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