Results 51 to 60 of about 677,364 (139)

Existence Results for Constrained Quasivariational Inequalities

open access: yesAbstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013
We deal with a constrained quasivariational inequality under a general form. We study existence of solutions in two situations depending on whether the set of constraints is bounded or possibly unbounded.
V. V. Motreanu, Rodrigo Lopez Pouso
wiley   +1 more source

Penalty method for a class of differential nonlinear system arising in contact mechanics

open access: yesFixed Point Theory and Algorithms for Sciences and Engineering, 2022
The main goal of this paper is to study a class of differential nonlinear system involving parabolic variational and history-dependent hemivariational inequalities in Banach spaces by using the penalty method.
Xu Chu   +3 more
doaj   +1 more source

Three Solutions for Inequalities Dirichlet Problem Driven by p(x)‐Laplacian‐Like

open access: yesAbstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013
A class of nonlinear elliptic problems driven by p(x)‐Laplacian‐like with a nonsmooth locally Lipschitz potential was considered. Applying the version of a nonsmooth three‐critical‐point theorem, existence of three solutions of the problem is proved.
Zhou Qing-Mei   +2 more
wiley   +1 more source

Controllability and Modeling Perspectives of Tempered Ψ‐Caputo Fractional Systems

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
In this article, we investigated the controllability of fractional dynamical systems (FDS) involving the tempered Ψ‐Caputo fractional derivative (FD). First, we derived the solution representation for this generalized FD with the help of Laplace transform and Mittag–Leffler (M‐L) function.
Inzamamul Haque   +3 more
wiley   +1 more source

Minimax Results with Respect to Different Altitudes in the Situation of Linking

open access: yesAbstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013
Consider a continuous function on a metric space. In the presence of linking between a compact pair and a closed set, depending on the different behaviors of the function on the linking sets, we establish minimax results guaranteeing existence of Palais‐Smale sequences or providing gradient estimates. Our approach relies on deformation techniques.
V. V. Motreanu, Kanishka Perera
wiley   +1 more source

Existence results for variational-hemivariational inequality systems with nonlinear couplings [PDF]

open access: yes
In this paper we investigate a system of coupled inequalities consisting of a variational-hemivariational inequality and a quasi-hemivariational inequality on Banach spaces.
Bai, Yunru   +2 more
core   +1 more source

Optimal Control Strategies and Continuous Dependence for Stochastic Hilfer Fractional Systems With Delay: A Volterra‐Fredholm Integro‐Differential Approach

open access: yesOptimal Control Applications and Methods, Volume 46, Issue 6, Page 2708-2726, November/December 2025.
The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja   +3 more
wiley   +1 more source

A Quasistatic Contact Problem for Viscoelastic Materials with Slip‐Dependent Friction and Time Delay

open access: yesMathematical Problems in Engineering, Volume 2012, Issue 1, 2012., 2012
A mathematical model which describes an explicit time‐dependent quasistatic frictional contact problem between a deformable body and a foundation is introduced and studied, in which the contact is bilateral, the friction is modeled with Tresca’s friction law with the friction bound depending on the total slip, and the behavior of the material is ...
Si-sheng Yao   +2 more
wiley   +1 more source

Long‐Time Behaviour of Solutions for Autonomous Evolution Hemivariational Inequality with Multidimensional “Reaction‐Displacement” Law

open access: yesAbstract and Applied Analysis, Volume 2012, Issue 1, 2012., 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. We prove the existence of trajectory and global attractors and investigate their structure.
Pavlo O. Kasyanov   +3 more
wiley   +1 more source

Convergence of solutions to inverse problems for a class of variational-hemivariational inequalities

open access: yes, 2018
The paper investigates an inverse problem for a stationary variational-hemivariational inequality. The solution of the variational-hemivariational inequality is approximated by its penalized version.
Zeng, Biao, Migórski, Stanisław
core   +1 more source

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