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1.
Minimax inequalities of Ky Fan   总被引:2,自引:0,他引:2  
In this paper, we found a new result by relaxing the condition of [1, Theorem 3]. As its direct consequence, we have obtained some new minimax inequalities of Ky Fan and minimax theorems.  相似文献
2.
一类渐近线性Neumann问题正解的存在性   总被引:1,自引:1,他引:0  
利用变分法获得了一类渐近线性N eum ann问题正解的存在性结果.  相似文献
3.
Global stability of a rational difference equation   总被引:1,自引:0,他引:1  
In this paper, we study the global stability of the difference equation , where the parameters a,ai(0,) for i=0,…,k, x-k,…, x-1[0,) and x0(0,). We prove that the unique positive equilibrium is globally asymptotically stable if and only if it is locally asymptotically. Also we provide sufficient condition for it to be globally asymptotically stable and our results solve the open problem proposed by Kulenović and Ladas (Dynamics of Second Order Rational Difference Equations with Open Problems and Conjectures, Chapman & Hall/CRC, Boca Raton, 2002).  相似文献
4.
Let n×n complex matrices R and S be nontrivial generalized reflection matrices, i.e., R=R=R−1≠±In, S=S=S−1≠±In. A complex matrix A with order n is said to be a generalized reflexive (or anti-reflexive ) matrix, if RAS=A (or RAS=−A). In this paper, the solvability conditions of the left and right inverse eigenvalue problems for generalized reflexive and anti-reflexive matrices are derived, and the general solutions are also given. In addition, the associated approximation solutions in the solution sets of the above problems are provided. The results in present paper extend some recent conclusions.  相似文献
5.
一类二阶非线性差分方程的全局吸引性   总被引:1,自引:0,他引:1  
考虑二阶非线性差分方程xn+1=a+bxn/A+xn-1,n=0,1,2,….证明了当条件a,b,A∈(0,∞)成立时方程的唯一正平衡点x^-=(b-A+√((b-A)2+4a))~(1/2))/2是方程的所有正解的一个全局吸引子,所得推论证明了由Kocic和Ladas提出的一个猜想是正确的.  相似文献
6.
In this paper, we study the global stability, and the periodic character of the rational recursive sequence. We show that the positive equilibrium of the sequence is a global attractor with a basin which depends on certain conditions posed on the coefficients.  相似文献
7.
对线性回归Yi=x'iβ+ei,i=1,…,n,…,其中x1,x2,…为已知P维向量,e1,e2,…为随机误差.本文证明了:如果e1,e2,…独立,每一个非退化,则是β的最小二乘估计相合的必要条件,注意此处对ei的期望和方差没有施加任何条件.  相似文献
8.
In this paper, an iterative algorithm is constructed for solving linear matrix equation AXB = C over generalized centro-symmetric matrix X. We show that, by this algorithm, a solution or the least-norm solution of the matrix equation AXB = C can be obtained within finite iteration steps in the absence of roundoff errors; we also obtain the optimal approximation solution to a given matrix X 0 in the solution set of which. In addition, given numerical examples show that the iterative method is efficient.  相似文献
9.
利用极小极大方法获得了一类Dirichlet问题多重解的存在性结果.  相似文献
10.
§ 1 IntroductionWeconsiderthefourthordersemilinearsubellipticboundaryvalueproblemΔ2 Hu +cΔHu =f( (z ,t) ,u) inD ,u|D =ΔHu|D =0 ,( 1 .1 )whereDisaboundedopensubsetoftheHeisenberggroupHnandΔHisthesubellipticLapla cianonHn.WerecallthatHnistheLiegroupwhoseunderlyingmani…  相似文献
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