Statistics composed of clipped binary sequences are not sensitive to the existence of outliers.We estimate the autocorrelation and autocovariance functions of a linear Gaussian stationary sequence by the clipped binary series, and show the law o
In this paper, we analyze the structures of the global attractors of the coupled systems of continuous Josephson junctions and the two-point Josephson junction without capacity effect.We prove that each system has a unique one-dimensional invaria
The arboricity of graph G=(V,E), denoted by a(G), is defined as a(G)=min{n | E can be partitioned into n subsets E1,E2,...,En, such that each subset spans a subgraph of G so as to be a forest}.In this paper the following results have been obtain
A graph is said to be K1,3-free if it contains no K1,3 as an induced subgraph. It is shown in this paper that every 2-connected K1,3-free graph contains a connected [2,3]-factor. We also obtain that every connected K1,3-free graph has a spanning
Both numerical simulation and theoretical analysis of seawater intrusion in coastal regions are of great theoretical importance in environmental sciences. The mathematical model can be described as a problem of the initial boundary values for a
A nonautomonous predator-prey system is studied in this paper. A logistic growth rate of the prey and a functional response of the predator are assumed. Throughout this paper, the main interest is in ther results yielding the threshold between t
The paper discusses an extended entropy model for the prediction of trip amount and provides a method to solve it, called the simple block iterative algorithm, from the point of view of the system of nonlinear equations. Because the algorithm gi
A version of the k-bounded space on-line bin packing problem, where a fixed collection of bin sizes is allowed, is considered. By packing large items into appropriate bins and closing appropriate bins, we can derive an algorithm with worst-case p
Consider the discrete delay logistic model where α∈(1,∞), β(0,∞), and k∈ {0,1,2,…}. We obtain new sufficient conditions for the positive equilibrium (α-1)/β of (1) to be a global attractor.
The aim of this paper is to study approximate controllability for bilinear systems in the general case. The existence and uniqueness of solutions to bilinear evolution equations are obtained. The paper shows that the approximate controllability
For the operator D(t), we prove the inherence theorem, Theorem 2. Basing on it, we study the stability with respect to the hull for neutral functional differential equations with infinite delay. We prove that if periodic Eq.(1) possesses the sol
In this paper we consider a free boundary problem of superconductivity. Under isothermal conditions, a superconductor material of Type I will develop two phases separated by a sharp interfaCe Γ(t). In the normal conducting phase the magnetic fi
A formula for energy functionals of a Markov process and its subprocess will be given in this paper. This generalizes a formula in [1]. We also use this formula to get some important consequences.
