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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...
Convergence of Semi-discrete Stationary Wigner Equation with Inflow Boundary Conditions
Stationary Wigner equation inflow boundary conditions well-posedness
2014/10/10
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...
Convergence theorems of iterative scheme for a countable family of nonexpansive mappings in a Banach space
Strong convergence nonexpansive mappings
2010/9/21
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...
Uniform convergence of Schwarz method for variational inequalities
Schwarz method Variational inequalities L∞-error estimates
2010/9/20
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 ...
Convergence of numerical solutions to stochastic age-dependent population equations driven by non-Gaussian noise
stochastic age-dependent population equations compensated Poisson random measure
2010/9/25
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...
A strong convergence theorem based on a relaxed extragradient method for generalized equilibrium problems
Nonexpansive mapping inverse-strongly monotone mapping
2010/9/21
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...
Convergence of iterative methods for Solving Painleve equation
Painlev´ e equation Adomian decomposition method
2010/9/25
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...
Finite dimensional reduction and convergence to equilibrium for incompressible Smectic-A liquid crystal flows
Finite dimensional reduction incompressible Smectic-A liquid crystal flows
2010/11/8
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...
On rates of convergence in the Curie-Weiss-Potts model with external field
rates of convergence Curie-Weiss-Potts model external field
2010/11/8
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...
On uniform statistical convergence of random variable sequences
Random variable sequence uniform convergence
2010/9/13
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...
The convergence of the law of the logarithm involving negatively associated random fields
negatively associated random fields
2010/9/13
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...
Strong convergence theorem for solving equilibrium problems by hybrid method of asymptotically k-strictly pseudo-contractive mappings in Hilbert spaces
asymptotically k-strictly pseudo-contractive equilibrium problems
2010/9/14
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...
An iterative method with fifth-order convergence for nonlinear equations
Analysis convergence Decomposition methods
2010/9/15
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 ...
Weak and strong convergence theorems for k-strictly pseudo-contractive in Hilbert space
k-strict pseudo-contraction nonexpansive mapping
2010/9/17
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...
On the strong lacunary convergence and strong Cesaro summability of sequences of real-valued functions
lacunary sequence strong lacunary convergence strongly Ces´ aro summable pointwise statistical convergence
2009/2/24
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...