Results 21 to 30 of about 5,796 (144)

Global Attractor for Second‐Order Nonlinear Evolution Differential Inclusions

open access: yesComplexity, Volume 2021, Issue 1, 2021., 2021
In this paper, we address the model of global attractor formulated in the form of evolution differential inclusions with second order in Banach spaces. Firstly, based on the fixed point theorem, the existence result of mild solutions is deduced. Then, by implementing the measure of noncompactness, the existence of global attractor associated with m ...
Guangwang Su   +2 more
wiley   +1 more source

On the Hadamard Well‐Posedness of Generalized Mixed Variational Inequalities in Banach Spaces

open access: yesJournal of Mathematics, Volume 2021, Issue 1, 2021., 2021
We introduce a new concept of Hadamard well‐posedness of a generalized mixed variational inequality in a Banach space. The relations between the Levitin–Polyak well‐posedness and Hadamard well‐posedness for a generalized mixed variational inequality are studied.
Lu-Chuan Ceng   +6 more
wiley   +1 more source

Constrained Variational-Hemivariational Inequalities on Nonconvex Star-Shaped Sets

open access: yesMathematics, 2020
In this paper, we study a class of constrained variational-hemivariational inequality problems with nonconvex sets which are star-shaped with respect to a certain ball in a reflexive Banach space.
Stanisław Migórski, Long Fengzhen
doaj   +1 more source

On convergence of solutions to variational–hemivariational inequalities [PDF]

open access: yesZeitschrift für angewandte Mathematik und Physik, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zeng, Biao   +2 more
openaire   +3 more sources

Tykhonov well-posedness of split problems

open access: yesJournal of Inequalities and Applications, 2020
In (J. Optim. Theory Appl. 183:139–157, 2019) we introduced and studied the concept of well-posedness in the sense of Tykhonov for abstract problems formulated on metric spaces. Our aim of this current paper is to extend the results in (J. Optim.
Qiao-yuan Shu   +2 more
doaj   +1 more source

Differential variational-hemivariational inequalities: existence, uniqueness, stability, and convergence [PDF]

open access: yes, 2020
The goal of this paper is to study a comprehensive systemcalled differential variational–hemivariational inequality which is com-posed of a nonlinear evolution equation and a time-dependentvariational–hemivariational inequality in Banach spaces ...
Tang, Guo-ji   +3 more
core   +1 more source

On a Type of Hyperbolic Variational–Hemivariational Inequalities [PDF]

open access: yesJournal of Applied Analysis, 1999
The authors consider the second-order initial value problem \[ u''(t) + Au(t) + \partial \psi(u(t)) + \chi(t) \ni f(t), \qquad 0 \leq t \leq T, \] \[ \chi(t) \in U^*(\partial_c j (Uu(t))), \quad 0 \leq t \leq T, \qquad u(0) = u_0, \quad u'(0) = u_1, \] where \(A : V \to V^*\) is selfadjoint and coercive (\(V\) compactly imbedded in \(H = L^2(\Omega ...
Panagiotopoulos, P. D., Pop, G.
openaire   +1 more source

Weak Solutions and Optimal Control of Hemivariational Evolutionary Navier‐Stokes Equations under Rauch Condition

open access: yesJournal of Function Spaces, Volume 2020, Issue 1, 2020., 2020
In this paper, we consider the evolutionary Navier‐Stokes equations subject to the nonslip boundary condition together with a Clarke subdifferential relation between the dynamic pressure and the normal component of the velocity. Under the Rauch condition, we use the Galerkin approximation method and a weak precompactness criterion to ensure the ...
Hicham Mahdioui   +3 more
wiley   +1 more source

Analysis of Stokes system with solution-dependent subdifferential boundary conditions

open access: yesFixed Point Theory and Algorithms for Sciences and Engineering, 2021
We study the Stokes problem for the incompressible fluid with mixed nonlinear boundary conditions of subdifferential type. The latter involve a unilateral boundary condition, the Navier slip condition, a nonmonotone version of the nonlinear Navier–Fujita
Jing Zhao   +2 more
doaj   +1 more source

A new class of fractional impulsive differential hemivariational inequalities with an application

open access: yesNonlinear Analysis, 2022
We consider a new fractional impulsive differential hemivariational inequality, which captures the required characteristics of both the hemivariational inequality and the fractional impulsive differential equation within the same framework.
Yun-hua Weng   +3 more
doaj   +1 more source

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