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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.
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
3.
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
4.
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
5.
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
6.
§ 1 IntroductionWeconsiderthefourthordersemilinearsubellipticboundaryvalueproblemΔ2 Hu +cΔHu =f( (z ,t) ,u) inD ,u|D =ΔHu|D =0 ,( 1 .1 )whereDisaboundedopensubsetoftheHeisenberggroupHnandΔHisthesubellipticLapla cianonHn.WerecallthatHnistheLiegroupwhoseunderlyingmani…  相似文献
7.
The robust stability for some types of tlme-varying interval raatrices and nonlineartime-varying interval matrices is considered and some sufficient conditions for robust stability of such interval matrices are given, The main results of this paper are only related to the verticesset of a interval matrices, and therefore, can be easily applied to test robust stability of interval matrices. Finally, some examples are given to illustrate the results.  相似文献
8.
An eigenvalue of a graph G is called a main eigenvalue if it has an eigenvector the sum of whose entries is not equal to zero. Let G 0 be the graph obtained from G by deleting all pendant vertices and δ(G) the minimum degree of vertices of G. In this paper, all connected tricyclic graphs G with δ(G 0) ≥ 2 and exactly two main eigenvalues are determined.  相似文献
9.
In this paper, by using a new non-polynomial parameters cubic spline in space direction and compact finite difference in time direction, we get a class of new high accuracy scheme of O(τ4 + h2) and O(τ4 + h4) for solving telegraph equation if we suitably choose the cubic spline parameters. Meanwhile, stability condition of the difference scheme has been carried out. Finally, numerical examples are used to illustrate the efficiency of the new difference scheme.  相似文献
10.
In the present work, we establish several fixed point theorems for a new class of self-maps in M-complete fuzzy metric spaces and compact fuzzy metric spaces, respectively.  相似文献
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