Results 31 to 40 of about 1,507 (161)

Well-Posedness for a Class of Strongly Mixed Variational-Hemivariational Inequalities with Perturbations

open access: yesJournal of Applied Mathematics, 2012
The concept of well-posedness for a minimization problem is extended to develop the concept of well-posedness for a class of strongly mixed variational-hemivariational inequalities with perturbations which includes as a special case the class of ...
Lu-Chuan Ceng   +2 more
doaj   +1 more source

Quasilinear elliptic inclusions of hemivariational type: Extremality and compactness of the solution set [PDF]

open access: yes, 2003
We consider the Dirichlet boundary value problem for an elliptic inclusion governed by a quasilinear elliptic operator of Leray–Lions type and a multivalued term which is given by the difference of Clarke's generalized gradient of some locally Lipschitz ...
S. Carl   +13 more
core   +1 more source

Well-Posedness by Perturbations for Variational-Hemivariational Inequalities

open access: yesJournal of Applied Mathematics, 2012
We generalize the concept of well-posedness by perturbations for optimization problem to a class of variational-hemivariational inequalities. We establish some metric characterizations of the well-posedness by perturbations for the variational ...
Shu Lv   +3 more
doaj   +1 more source

Hilfer fractional neutral stochastic Sobolev-type evolution hemivariational inequality: Existence and controllability☆

open access: yesAin Shams Engineering Journal, 2023
This paper discusses the approximate controllability of hemivariational inequalities of the Sobolev-type Hilfer fractional neutral stochastic evolution system.
Yong-Ki Ma   +5 more
doaj   +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

Noncoercive Perturbed Densely Defined Operators and Application to Parabolic Problems

open access: yesAbstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015
Let X be a real locally uniformly convex reflexive separable Banach space with locally uniformly convex dual space X∗. Let T:X⊇D(T)→2X∗ be maximal monotone and S : X⊇D(S) → X∗ quasibounded generalized pseudomonotone such that there exists a real reflexive separable Banach space W ⊂ D(S), dense and continuously embedded in X. Assume, further, that there
Teffera M. Asfaw, Naseer Shahzad
wiley   +1 more source

Minimality properties of set-valued processes and their pullback attractors [PDF]

open access: yes, 2014
We discuss the existence of pullback attractors for multivalued dynamical systems on metric spaces. Such attractors are shown to exist without any assumptions in terms of continuity of the solution maps, based only on minimality properties with respect ...
Michele Coti, Piotr Kalita, Zelati
core   +1 more source

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

Evolution of the Minimax Inequality of Ky Fan

open access: yesJournal of Operators, Volume 2013, Issue 1, 2013., 2013
There are quite a few generalizations or applications of the 1984 minimax inequality of Ky Fan compared with his original 1972 minimax inequality. In a certain sense, the relationship between the 1984 inequality and several hundreds of known generalizations of the original 1972 inequality has not been recognized for a long period.
Sehie Park, Ram U. Verma
wiley   +1 more source

Numerical Analysis of a Contact Problem with Wear

open access: yes, 2019
This paper represents a sequel to the previous one, where numerical solution of a quasistatic contact problem is considered for an elastic body in frictional contact with a moving foundation.
Han, Danfu   +3 more
core   +1 more source

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