Results 31 to 40 of about 493,736 (167)

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

Tikhonov regularization for a class of generalized hemivariational inequality in Banach spaces

open access: yes, 2022
This paper aims to study in a reflexive Banach space a class of generalized hemivariational inequality problem involving a set-valued mapping and a nonlinear perturbation.
Yi-bin Xiao (12056128)   +3 more
core   +1 more source

Hilfer fractional evolution hemivariational inequalities with nonlocal initial conditions and optimal controls

open access: yesNonlinear Analysis, 2019
In this paper, we mainly consider a control system governed by a Hilfer fractional evolution hemivariational inequality with a nonlocal initial condition.
Yatian Pei, Yong-Kui Chang
doaj   +1 more source

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

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

A note on existence and approximate controllability outcomes of Atangana–Baleanu neutral fractional stochastic hemivariational inequality

open access: yesResults in Physics, 2022
This article is primarily targeting the approximate controllability results of Atangana–Baleanu neutral fractional stochastic hemivariational inequality.
C. Dineshkumar   +7 more
doaj   +1 more source

On nonlinear hemivariational inequalities [PDF]

open access: yesDissertationes Mathematicae, 2003
The authors present a detailed study of strongly nonlinear hemivariational inequalities of second order with Dirichlet, nonhomogeneous and Neumann boundary condition. To obtain existence results a variety of tools is employed: general theory of nonlinear operators of monotone type, the method of upper-lower solutions, the multivalued Leray-Schauder ...
Papageorgiou, Nikolaos, Smyrlis, George
openaire   +2 more sources

Superlinear elliptic hemivariational inequalities

open access: yesHacettepe 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
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

Fractional Stochastic Differential Equations with Hilfer Fractional Derivative: Poisson Jumps and Optimal Control

open access: yesDiscrete Dynamics in Nature and Society, Volume 2017, Issue 1, 2017., 2017
In this work, we consider a class of fractional stochastic differential system with Hilfer fractional derivative and Poisson jumps in Hilbert space. We study the existence and uniqueness of mild solutions of such a class of fractional stochastic system, using successive approximation theory, stochastic analysis techniques, and fractional calculus ...
Fathalla A. Rihan   +3 more
wiley   +1 more source

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