In this paper we propose a finite element discretization of the Maxwell-Landau-Lifchitz-Gilbert equations governing the electromagnetic field in a ferromagnetic material. Our point of view is that it is desirable for the discrete problem to possess conservation properties similar to the continuous system. We first prove the existence of a new class of Liapunov functions for the continuous probl...

Heterogeneity is one of the distinguishing features in spatial econometric models. It is a frequent problem in applied work and can be very damaging for statistical inference. In this paper, we focus on the problems implied by the existence of instabilities in the mechanism of spatial dependence in a spatial lag model, assuming that the other terms of the specification remain stable. We begin t...

We consider a differential quasivariational inequality for which we state and prove the continuous dependence of solution with respect to data. This convergence result allows us existence at least one optimal pair an associated control problem. Finally, illustrate our abstract results in study free boundary problem describes equilibrium viscoelastic body frictionless contact foundation made rig...

Abstract Our main objectives in this paper are to investigate the existence of solutions for an integro-differential inclusion second order with hybrid nonlocal boundary value conditions. The sufficient condition uniqueness solution will be given and continuous dependence on set selections other functions proved. As application, problem Chandrasekhar second-order functional integrodifferential ...

This paper deals with a controlled Markov chain in continuous time non-exponential discounting and distribution-dependent cost functional. A definition of closed-loop equilibrium is given its existence uniqueness are established. Due to the time-inconsistency brought by distribution dependence, it proved that locally optimal some appropriate sense. Moreover, shown our problem equivalent mean-fi...

In this paper, we present a qualitative study of an implicit fractional differential equation involving Riemann–Liouville derivative with delay and its corresponding integral equation. Under some sufficient conditions, establish the global local existence results for that problem by applying fixed point theorems. addition, have investigated continuous integrable solutions problem. Moreover, dis...

the aim of this paper is to introduce the concepts of fuzzy upper and fuzzy lower almost continuous, weakly continuous and almost weakly continuous multifunctions. several characterizations and properties of these multifunctions along with their mutual relationships are established in $l$-fuzzy topological spaces