Results 51 to 60 of about 763 (159)
Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2595-2611, November/December 2025.Optimal Control of AB Caputo Fractional Stochastic Integrodifferential Control System with Noninstantaneous Impulses. ABSTRACT This study is concerned with the existence of mild solution and optimal control for the Atangana–Baleanu fractional stochastic integrodifferential system with noninstantaneous impulses in Hilbert spaces. We verify the existence
Murugesan Johnson +2 more
wiley +1 more source
Three Solutions for Inequalities Dirichlet Problem Driven by p(x)‐Laplacian‐Like
Abstract 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
Optimal 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
Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)‐Laplacian
The Scientific World Journal, Volume 2013, Issue 1, 2013., 2013 A class of nonlinear Neumann problems driven by p(x)‐Laplacian with a nonsmooth locally Lipschitz potential (hemivariational inequality) was considered. The approach used in this paper is the variational method for locally Lipschitz functions. More precisely, Weierstrass theorem and Mountain Pass theorem are used to prove the existence of at least two ...
Qing-Mei Zhou +4 more
wiley +1 more source
On a class of variational-hemivariational inequalities [PDF]
, 2002 In this paper we consider a class of variational-hemivariational inequalities. We use the critical point theory for nonsmooth functionals due to Motreanu-Panagiotopoulos [9].
Halidias, Nikolaos
core
Numerical analysis of hemivariational inequalities in contact mechanics [PDF]
, 2019 Contact phenomena arise in a variety of industrial process and engineering applications. For this reason, contact mechanics has attracted substantial attention from research communities.
Mircea Sofonea +3 more
core +1 more source
Optimal Control Applications and Methods, Volume 45, Issue 4, Page 1832-1850, July/August 2024.The graphical abstract delves into Caputo fractional nonlinear differential inclusions, highlighting their complexities and the need for innovative solutions. We propose a mild solution approach to address these challenges efficiently. Our investigation focuses on determining the existence of mild solutions under varied conditions and exploring optimal
Marimuthu Mohan Raja +4 more
wiley +1 more source
Minimax Results with Respect to Different Altitudes in the Situation of Linking
Abstract 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
A Quasistatic Contact Problem for Viscoelastic Materials with Slip‐Dependent Friction and Time Delay
Mathematical 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
Tykhonov triples and convergence results for hemivariational inequalities
Nonlinear Analysis, 2021 Consider an abstract Problem P in a metric space (X; d) assumed to have a unique solution u. The aim of this paper is to compare two convergence results u'n → u and u''n → u, both in X, and to construct a relevant example of convergence result un → u ...
Rong Hu, Mircea Sofonea, Yi-Bin Xiao
doaj +1 more source