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Existence of a Generalized Solution for the Fractional Contact Problem
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 In this paper, we take into consideration the mathematical analysis of time‐dependent quasistatic processes involving the contact between a solid body and an extremely rigid structure, referred to as a foundation. It is assumed that the constitutive law is fractional long‐memory viscoelastic.
Leila Ait kaki +4 more
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Nonlinear Hemivariational Inequalities at Resonance [PDF]
Journal of Mathematical Analysis and Applications, 1999 In this paper we consider nonlinear hemivariational inequalities involving the p-Laplacian at resonance. We prove the existence of a nontrivial solution. Our approach is variational based on the critical point theory for nonsmooth, locally Lipschitz functionals due to Chang.
Gasiński, Leszek +1 more
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Global Attractor for Second‐Order Nonlinear Evolution Differential Inclusions
Complexity, 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
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On the Hadamard Well‐Posedness of Generalized Mixed Variational Inequalities in Banach Spaces
Journal 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
On variational–hemivariational inequalities in Banach spaces
Communications in Nonlinear Science and Numerical Simulation, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Han, Weimin, Nashed, M.Z.
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Differential variational-hemivariational inequalities: existence, uniqueness, stability, and convergence [PDF]
, 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
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Constrained Variational-Hemivariational Inequalities on Nonconvex Star-Shaped Sets
Mathematics, 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
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Anti-periodic solutions to a parabolic hemivariational inequality [PDF]
, 2004 summary:In this paper we deal with the anti-periodic boundary value problems with nonlinearity of the form $b(u)$, where $b\in L^{\infty }_{{\rm loc}}({R}).$ Extending $b$ to be multivalued we obtain the existence of solutions to hemivariational ...
Kim, Hyun Min +2 more
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An optimal shape design problem for a hyperbolic hemivariational inequality [PDF]
, 2000 In this paper we consider hemivariational inequalities of hyperbolic type. The existence result for hemivariational inequality is given and the existence theorem for the optimal shape design problem is ...
Gasiński, Leszek
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Minimization principle in study of a Stokes hemivariational inequality
, 2021 In this paper, an equivalent minimization principle is established for a hemivariational inequality of the stationary Stokes equations with a nonlinear slip boundary condition.
Min Ling, Weimin Han
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