Results 31 to 40 of about 763 (159)

An analysis on the approximate controllability results for Caputo fractional hemivariational inequalities of order 1 < r < 2 using sectorial operators

open access: yesNonlinear Analysis, 2023
In this paper, we investigate the effect of hemivariational inequalities on the approximate controllability of Caputo fractional differential systems. The main results of this study are tested by using multivalued maps, sectorial operators of type (P, η,
Marimuthu Mohan Raja   +5 more
doaj   +1 more source

From the Fan-KKM principle to extended real-valued equilibria and to variational-hemivariational inequalities with application to nonmonotone contact problems

open access: yesFixed Point Theory and Algorithms for Sciences and Engineering, 2022
This paper starts off by the celebrated Knaster–Kuratowski–Mazurkiewicz principle in the formulation by Ky Fan. We provide a novel variant of this principle and build an existence theory for extended real-valued equilibrium problems with general, then ...
Joachim Gwinner
doaj   +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

A multiplicity result for hemivariational inequalities [PDF]

open access: yes, 2007
In this paper we extend a multiplicity result of Ricceri to locally Lipschitz functionals and prove the existence of multiple solutions for a class of hemivariational ...
Francesca Faraci   +7 more
core   +3 more sources

Convergence analysis of numerical solutions for optimal control of variational-hemivariational inequalities [PDF]

open access: yes, 2020
Variational–hemivariational inequalities and hemivariational inequalities form a powerful mathematical tool in modeling and studying problems in science and engineering where non-smooth, non-monotone and multi-valued relations among different physical ...
Migórski, Stanisław   +7 more
core   +1 more source

Existence results for quasilinear parabolic hemivariational inequalities [PDF]

open access: yes, 2008
This paper is devoted to the periodic problem for quasilinear parabolic hemivariational inequalities at resonance as well as at nonresonance. By use of the theory of multi-valued pseudomonotone operators, the notion of generalized gradient of Clarke and ...
Liu, Zhenhai
core   +1 more source

Homogenization of boundary hemivariational inequalities in linear elasticity [PDF]

open access: yes, 2008
In this paper we consider a mathematical model describing static elastic contact problems with the Hooke constitutive law and subdifferential boundary conditions.
Liu, Zhenhai   +2 more
core   +1 more source

Existence, comparison, and compactness results for quasilinear variational-hemivariational inequalities [PDF]

open access: yes, 2004
We consider quasilinear elliptic variational-hemivariational inequalities involving the in-dicator function of some closed convex set and a locally Lipschitz functional.
Vy K. Le   +7 more
core   +1 more source

On a class of hemivariational inequalities at resonance

open access: yesJournal of Mathematical Analysis and Applications, 2004
The paper studies a Dirichlet boundary value problem involving the \(p\)-Laplacian \(\Delta_p\) and a locally Lipschitz potential which is resonant at the first eigenvalue of \(-\Delta_p\). This type of problems is called resonant hemivariational inequalities.
Halidias, N., Naniewicz, Z.
openaire   +1 more source

Existence of long‐time solutions to dynamic problems of viscoelasticity with rate‐and‐state friction

open access: yesZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 99, Issue 11, November 2019., 2019
Abstract 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. The term rate‐and‐state friction describes friction laws where the friction is rate‐dependent and depends on an additional internal state variable defined on the contact ...
Elias Pipping
wiley   +1 more source

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