Results 11 to 20 of about 941 (143)
Existence of long‐time solutions to dynamic problems of viscoelasticity with rate‐and‐state friction [PDF]
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 99, Issue 11, November 2019., 2019 We establish existence of global solutions to a dynamic problem of bilateral contact between a rigid surface and a viscoelastic body, subject to rate‐and‐state friction.
Pipping, Elias
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Abstract and Applied Analysis, 2012 We consider autonomous evolution inclusions and hemivariational inequalities with nonsmooth dependence between determinative parameters of a problem. The dynamics of all weak solutions defined on the positive semiaxis of time is studied.
Pavlo O. Kasyanov +2 more
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Mathematics, 2023 In this work, we used reflexive Banach spaces to study the differential variational—hemivariational inequality problems with constraints. We established a sequence of perturbed differential variational–hemivariational inequality problems with perturbed ...
Shih-Sen Chang +4 more
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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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Superlinear elliptic hemivariational inequalities
Hacettepe Journal of Mathematics and Statistics, 2023 We study a nonlinear nonhomogeneous Dirichlet problem with a nonsmooth potential which is superlinear but without satisfying the Ambrosetti-Rabinowitz condition. Using the nonsmooth critical point theory and critical groups we prove two multiplicity theorems producing three and five solutions respectively. In the second multiplicity theorem, we provide
BAİ, Yunru +2 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
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Monotonicity Arguments for Variational–Hemivariational Inequalities in Hilbert Spaces
Axioms, 2022 We consider a variational–hemivariational inequality in a real Hilbert space, which depends on two parameters. We prove that the inequality is governed by a maximal monotone operator, then we deduce various existence, uniqueness and equivalence results ...
Mircea Sofonea
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Multivalued nonmonotone dynamic boundary condition
Boundary Value Problems, 2021 In this paper, we introduce a new class of hemivariational inequalities, called dynamic boundary hemivariational inequalities, reflecting the fact that the governing operator is also active on the boundary.
Khadija Aayadi +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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