1. IntroductionSuppose that in the linear regression model K = XIP + ei. K are not completelyobserVa

This paper concerns the orbital stability of solitary waves of the Klein- Gordon- Zakharov equations. By applying the abstract results of [1, 2] and detailed spectral analysis, we obtain the stability of solitary waves.

Taking nondegenerate quadrics in projective space over finite fields of ch.=2, we construct some families of two-class and three-class association schemes, and calculate their parameters. Moreover, for the three-class association scheme, we also

A model which describes the dynamics of an SIS epidemic in an age-structured and time dependent population is considered. The global behavior of the model with a special form for the infective force is obtained. The existence and uniqueness of th

In this paper a class of singularly perturbed initial boundary value problems for the reaction diffusion integral differential system are considered. Using the iteration method and the differential inequalities, the existence, uniqueness and its

In this paper we discuss the long time behavior of the initial problem We show that in a weighted Hilbert space there exists a global attractor which is weakly compact and has finite Hausdorff and fractal dimension.

In this paper, we deal with the generalized derivative Ginzburg-Landau equation in two spatial dimensions, and obtain the existence of global weak solutions for this equation subject to periodic boundary conditions.

In this paper we examine the geometric ergodicities under fairly wide conditions for the following nonlinear autoregressive model

Stability criteria are established for partial difference equations with nonlinear pertubations.

This paper deals with some coupled systems of semilinear reaction-diffusion equations which arise from some chemical reactions. The analysis includes some results of the convergence properties for global solutions of those systems under homogene

In this paper, the pole assignment problem is considered for a class of distributed parameter systems with unbounded input element and with multiple spectral structure. A formula on the spectrum of the closed loop operator is proved and a formula

In [1], we introduced the concept of z-transformation graphs of perfect matchings of hexagonal systems and showed that the z-transformation graph of perfect matchings of a hexagonal system has at most two vertices of degree one. In this paper, w

This paper presents a class of C~3-continuous B-type parametric spline curves with factors. Each segment of the curve is only generated by four consecutive control points. It can directly interpolate or approximate to any control points and locally or globally approximate the control polygon. By using some relations among the factors, the segment's degree can be decreased to the lowest. Our curve is more convenient and flexible than common quartic B-spline curve.

The purpose of this paper is to study a SIRS epidemiological model with nonlinear incidence rate #beta#I~ps/(1+#alpha#I~q) and distributional delay in removed class. The existence and continuity of solutions, the positive invariant set, the equilibrium and the stability of the equilibrium for the model are discussed.

in this paper, the simultaneous approximation problem of functions and its derivatives by polynomials in Ba spaces is studied and the Jackson theorems of derivative type are proved.

In this paper we deal with the singular perturbation of Robin boundary value problem for the system of nonlinear differential equations involing integral operator, under the appropriate conditions, by the method of diagonalization and successive approximation, we prove the existence of solution and obtain its estimation which is uniformly valid for all orders till O(#epsilon#~(N+1) in norm.

The two-scale asymptotic expression for elastic structures of composite materials only including entirely basic configurations is discused, and then the error of the expression with finite terms is shown.

The general solution of a certain kind of generalized Duffing equation is abtained by using Lie group method and Hamilton-Jacobi theorem.

In the test of the hypothesis problem: #theta#=#theta#_0 vs. #theta#=#theta#_1(0<#theta#_0<#theta#_1<1) for the geometric distribution: P(X=k)=(1-#theta#)#theta#~(k-1), k=1,2,..., 0<#theta#<1, a Bayesian procedure in time sequential sample plan is proposed in this paper. The loss function is the sum of the cost of the experiment times and the loss due to the wrong decisioin. In the procedure, two series of limits of posterior probabilities (upper limits and lower limits) of the even {#theta#=#theta#_1} are given. The Bayesian stopping rule and decision rule are determined by the limits.

In this paper, we investigate growth problem of solutions of two type of higher order homogeneous linear differential equations with entire coefficients. For the two type of equations, we obtain precise estimate of hyper-order of solutions of the equations when there is one coefficient that is main dominating to the properties of the solutions, particularly, we get precise estimate of hyper-order for the solution which satisfies that its exponent of convergence of zeros is finite.

in this paper we discuss the asymptotic behavior of statistical estimators of the optimal solutions to general stochastic program (1) in which probaboilistic constraints are involved (the available samples are not independent of each other).

By perturbing a semidefinite program to a quadratic semidefinite program, it is possible to solve the latter in its dual variable space by many techniques such as projection and contraction algorithms. This provides a solution to the original semidefinite program. The convergence analysis and elementary numerical experiment are also contained.

Multi-receiver Authentication Codes with Secrecy are investigated in this paper. An information-theoretic lower bound for the probability of successful deception for a spoofing attack of order r is obtained. By use of partially ballanced t-designs and special block designs, the combinatorial characterization of multi-receiver authentication codes that can achieve the lower bound is described.

We extend the Kleinman-Newton approach to nonlinear optimal control problems. We prove that the feedback control sequence created by applying the Kleinman-Newton approach, beginning from a globally stabilizing feedback control, converges to the optimal control described in Lukes paper. We also expect this theory to be useful in nonlinear H_(infinity)-optimal control.

In this paper, the method of inner and outer matched asymptotic expansion is used to study the relationship of the surface tension, normal velocity, mean curvature and anisotropy function in the boundary of the anisotropy phase-field model. We obtain the anisotropy Gibbs-Thompson relation and the equation of bouondary layer.

Improved estimation of variance components in a linear model with two variance components is considered. For one variance component (say, #sigma#~2>=0) corresponding to a random effect, we study a class of invariant estimator which contains several important estimators in one-way random model. It is proved that there is no best estimator in the class under mean-squared-error criterion and the Analysis-of-variance(ANOVA) estimator is also inadmissible. In an important subclass, however, the best estimator is obtained. for the general case of the model, a class of nonnegative estimators of #sigma#~2 is discussed. The distribution functions of the estimators and a sufficient condition for the superiority of the estimators in the class over the ANOVA estimator are given.

In this paper, we consider the scheduling problem Q_2||C_(max). We devise a linear time compound algorithm LCQ1 with a worst case analysis bound of 6/5. Since MF algorithm has a worst case bound sq root(2)+1/2+(1/2)~k and time complexity O(nlogn), LCQ1 algorithm is the best one of known simple approximation algorithms.

Firstly, definitions of Stability are stated for singular functional differential euqations, and two theorems on stability and instability are proved. Then as an example, second constant coefficient linear singular differential difference equations are considered, some results of stability and instability are obtained, and some bifurcation phenomenon of stability are discovered.

This paper discusses the relations between the increasing-decreasing property of a failure rate with the baseline rate and mixing distribution under Cox model. Based on the relations a parametric distribution family-translated conjugate stable distribution family, one can obtain a failure time model which is flexible in fitting of failure time data. For some hypotheses on the boundary of parameter space of the model obtained under this mixing distirubtion family, consistent tests are given based on extreme statistics.

This paper investigates the generalized subdivision algorithm—Rational Matrix Subdivision,which is the extension of Matrix Subdivision Scheme presented by Micchelli and others.By this methods,not only rational polynomial curves and surfaces can be rendered,but also fractal-like geometric object can also be constructed.

For general growth curve model,this paper has obtained the necessary and sufficient conditions for the existence of the uniformly minimum risk equivariant (UMRE) estimator of any given estimable function of regression coefficient matrix under an affine group or a transitive group of transformations,and the uniformly minimum risk unbiased (UMRU) estimator of any given estimable function of regression coefficient matrix for quadratic losses and matrix losses,respectively,by using an unified method.The necessary and sufficient conditions for the existence of UMRE estimators and UMRU estimators of all estimable functions are also obtained respectively.

This paper discusses a series of geometrical properties of projective transformation and weights for the space rational cubic Bezier curve.The weights make up homogeneous coordinate of the weight center in four control vertex basis.The weight center is a common intersection point of six special planes.The ratio of some four collinear points that include the weight ceneter and the ‘shoulder point' equals 3.The weight center may be used as the unit point of projective coordinate system that the rational curve belongs to.This rational curve is the map of the projective transformation corresponding to non-rational curve,which projects the figure center of control tetrahedron onto the weight center.The weights are characteristic values of the projective transformation (with a constant factor).The weights respectively equal the ratios of barycentric coordinates elements of the corresponding points of the curves in the four control vertex base before transformation and after.This rational curve is the line of intersection of two conicoids and the type of the conicoids is determined by two shape factors made up by the weights.The conclusions are tenable between arbitrary two space rational cubic Bezier curves.

In this paper,our aim is to establish the theorems of existence of positive radial symmetric entire solutions for a class of nonlinear polyharmonic equations in with the Schauder-Tychonoff fixed point theorem as the principal tool,presents about the properties of the solutions.

Let G be a simple graph with the minimal degree at least 3.Combined with the edge-connectivity of G,this paper gives the expressions for lower bounds on the maximum genus of G in terms of its minimal degree,respectively.

In this paper,the nonsingularity criterion of matrices is discussed.All results in the paper extend the ones which were obtained by Szulc(1995) and Li(1998) in this field.

In this paper,we study the superconvergence phenomena of the non-conforming domain decomposed finite element method with Lagrange multipliers to a 2-order elliptic problem.The main idea of this chapter is to achieve the combination of parallel computational method with the higher accuracy technique by interpolation finite element postprocessing which is implemented only by using a simple and convenient algorithm.The higher accuracy of one and half an order have been obtained by using integral identity,introducing L_2 projection,postprocessing of interpolation finite element and so on.

In this paper,we studied the existence of solutions for one class of nonlinear differential equations with measure valued boundary and we obtained the necessary and sufficient condition for the existence of solutions.