Results 21 to 30 of about 5,796 (144)
Global Attractor for Second‐Order Nonlinear Evolution Differential Inclusions
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
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On the Hadamard Well‐Posedness of Generalized Mixed Variational Inequalities in Banach Spaces
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
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Constrained Variational-Hemivariational Inequalities on Nonconvex Star-Shaped Sets
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
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On convergence of solutions to variational–hemivariational inequalities [PDF]
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Zeng, Biao +2 more
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Tykhonov well-posedness of split problems
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
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Differential variational-hemivariational inequalities: existence, uniqueness, stability, and convergence [PDF]
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
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On a Type of Hyperbolic Variational–Hemivariational Inequalities [PDF]
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.
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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
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Analysis of Stokes system with solution-dependent subdifferential boundary conditions
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
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A new class of fractional impulsive differential hemivariational inequalities with an application
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
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