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The study of the spectrum of the Laplace operator has produced an extensive literature. (See [Cha] and the references therein.) Of special interest to recent applications has been the behavior of spec...
Making use of the Whittaker-Shannon interp olation formula w ith shifted sampling p oints, we prop ose in this pap e r a well-p osed semi-discretization of the stationary Wigner equation with inflow B...
In this paper, we introduce a new Halpern type iterative sequence for a countable family of nonexpansive mappings. Then we prove that such a sequence converges strongly to a common fixed point of a co...
In this paper we study variational inequalities using the Schwarz method. The main idea of this method consists in decomposing the domain in two subdomains. We give a simple proof for the main result ...
It presents and analyzes the Euler methods for stochastic age-dependent population equations driven by Poisson random jump measure; Under the Local Lipschitz condition, we prove that the Euler approxi...
In this paper, we introduce a new relaxed extragradient viscosity approximation method for finding the common element of the set of solutions of a generalized equilibrium problems, the set of common f...
In this paper, a Painlev´e equation is solved by using the Adomian’s decomposition method (ADM) , modified Adomian’s decomposition method (MADM), variational iteration method (VIM), modified var...
We consider a hydrodynamic system that models the Smectic-A liquid crystal flow. The model consists of the Navier-Stokes equation for the fluid velocity coupled with a fourth-order equation for the la...
Stein's Method provides a way of bounding the distance of a probability distribution to a target distribution. In the present paper we obtain rates of convergence for limit theorems via Stein's Metho...
In this study, we introduce a notion of uniform statistical convergence of random variable sequences. We show that a continuous function conserves the limit of statistical convergence of real-number s...
In this paper, the convergence of negatively associated random fields is investigated, two sufficiency conditions for the law of the logarithum are obtained by the Rosenthal and maximal Rosenthal ineq...
In this paper, we introduce the iterative schemes by using hybrid methods for finding a common element of the set of an equilibrium problem and the set of fixed points of asymptotically k-strictly pse...
In this paper, we suggest and analyze a new four-step iterative method for solving nonlinear equations involving only first derivative of the function using a new decomposition technique which is due ...
Our results improve and extend the results announced by Genaro L.A.and H.K.Xu [Iterative methods for strict pseudo-contractions in Hilbert spaces, Nonl.Anal.67(2007) 2258-2271], T.H.Kim and H.K.Xu [St...
In this paper we introduce the concepts of the strong lacunary convergence and strong Ces´aro summabilty of sequences of real-valued functions. We also give the relations between these converg...

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