共查询到19条相似文献,搜索用时 93 毫秒
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本文研究了Hilbert空间H上正则射影对的性质和结构,证明了酉算子V与正交射影对(P,Q)交织(i.e.,VP=QV,PV=VQ)的充分必要条件是dim(R(P)∩N(Q))=dim(N(P)∩R(Q)),给出了满足上述条件均酉算子V均一般形式. 相似文献
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In this paper, we discuss the problem concerning global and local structure of solutions of an operator equation posed by M. S. Berger. Let f : U (?)E→ F be a C1 map, where E and F are Banach spaces and U is open in E. We show that the solution set of the equation f(x)=y for a fixed generalized regular value y of f is represented as a union of disjoint connected C1 Banach submanifolds of U, each of which has a dimension and its tangent space is given. In particular, a characterization of the isolated solutions of the equation f(x) = y is obtained. 相似文献
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本文采用正交投影技巧研究无穷维系统中算子Riccati方程的解,利用有限维空间中一序列来逼近该算子Riccati方程的解.并给出一个数值例子来说明我们的结论. 相似文献
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通过类比自治动力系统中拓扑熵指数收敛的定义,给出了非自治拓扑熵指数收敛的定义及非自治Lipschitz系统中E.Ghys猜想成立的充分条件与必要条件,推广了自治动力系统中的相关结论. 相似文献
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利用Pell方程的理论,讨论了与广义Lucas数有关的一些级数的取整值问题.在一定条件下,解决了一些级数的取整值问题. 相似文献
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没A是一个有限维代数,R为A的对偶扩张代数.本我们讨论R的有限维数findim R of R,证明了,在—般情况下findim R≠2findim A,这就回答了惠昌常教授所提的一个问题. 相似文献
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应用F_q[t]上的Pell方程这一初等方法重新证明一个已知的结果:实二次函数域F_q(t)(D~(1/2))理想类数为1时,D只能为P或QR,其中P,Q,R是F_q[t]中的首一不可约多项式且Q,R次数为奇数. 相似文献
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Lian-Xi Ku 《Southeast Asian Bulletin of Mathematics》2000,24(3):375-382
In this note, we prove that, for Robins boundary value problem, a unique solution exists if fx(t, x, x), fx(t, x, x), (t), and (t) are continuous, and fx -(t), fx -(t), 4(t) 2 + 2(t) ++ 2(t), and 4(t) 2 + 2(t) + 2(t).AMS Subject Classification (2000) 34B15 相似文献
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The Dirichlet problem to a second order differential equation with some singularities is studied. Some existence results are established to the problem which generalize some results recently obtained by D. O‘Regan by eliminating some superfluous constrains to the problem. Also, some new results have been proven which may provide more useful information for the study of the problem. 相似文献
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J. Ben Atkinson 《The Journal of the Operational Research Society》1996,47(3):463-467
Van Ackere and Ninios (VN) used discrete-event simulation to determine the optimal strategies for a monopolist who operates a single-server facility and uses advertising to attract customers. Their model was based upon an M/E r /1/K queue. In this paper, we re-analyze their model using queueing theory and numerical optimization. Our results allow the optimal strategies to be characterized more precisely, and this leads to a reassessment and modification of the conclusions reached by VN. 相似文献
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邓映蒲 《数学的实践与认识》2006,36(3):231-235
1987年,R.Schoof对于有限域Fq上的椭圆曲线的同构类数目得出了一个公式.1990年,A.M enezes和S.V anstone对此当q为偶数时给出了一个初等证明.本文利用Burnside引理对q为偶数时给出一个更简单的证明. 相似文献
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Answering a question of M. Talagrand, we show that there is a fixed L with the following property. For positive integers and , if is the set of subgraphs of Kn containing at least copies of Kk, then there is a set of subgraphs of Kn such that (i) each member of contains a member of and (ii) (where means number of edges). © 2014 Wiley Periodicals, Inc. Random Struct. Alg., 47, 663–668, 2015 相似文献
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E. Page 《The Journal of the Operational Research Society》1975,26(2):321-324
A two-dimensional dynamic programming problem is posed. By relaxing some of the restraints on the problem it is reduced to a standard dynamic programming problem. Results are quoted from a particular case study. 相似文献
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对一个离散Schrodinger 谱问题, 给出与其相联系方程族的双 Hamilton 结构.同时构造了该族的一个 Darboux 变换. 相似文献
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该文构造了一个4次多项式Abelian方程, 其系数为次数≤3的三角多项式, 此方程有6个孤立的2 ∏-周期解.换句话说,作者构造了一个关于Pugh问题的例子, 其中当n=4时,K(n)=6.这个例子比Smale在文献[1]中提到的Nirenberg例子简单. 相似文献
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Let TTn be a transitive tournament on n vertices. We show that for any directed acyclic graph G of order n and of size not greater than two directed graphs isomorphic to G are arc disjoint subgraphs of TTn. Moreover, this bound is generally the best possible.
The research partially supported by KBN grant 2 P03A 016 18 相似文献