On the Recursive Sequence x_{n + 1} = {{ \mgreek{g} x_{n-1} + \mgreek{d} x_{n-2}} \over {Cx_{n-1} + Dx_{n-2}}}

We investigate the global character of solutions of the equation in the title with positive parameters and positive initial conditions. We obtain results about the global attractivity of the equilibrium, the existence and attractivity of the period-two solution and the semicycles.     

关于数论函数方程φ(x_1…x_(n-1)x_n)=m(φ(x_1)+…+φ(x_(n-1))+φ(x_n))

运用Euler函数的性质证明了:当n>1时,方程φ(x_1…x_(n-1)x_n)=m(φ(x_1)+…+φ(x_(n-1))+φ(x_n))仅有有限多组正整数解(x_1,…,x_(n-1),x_n),得到了这些解都满足max{x_1,…,x_(n-1),x_n}≤2m⁴(n-1)4(n-1)²n2n².     

Banach空间奇异（n-1，1）共轭边值问题

通过构造一个特殊的锥,利用锥拉压不动点定理,获得了Banach空间奇异（n—1,1）共轭边值问题的正解．     

Another semigroup of complexity n-1

Communicated by G. J. Lallement     

半正的分数阶微分方程(n-1,1)-型积分边值问题的多个正解

采用Riemann-Liouville分数阶导数,研究了半正的分数阶微分方程(n-1,1)-型积分边值问题,获得了参数λ的一个区间,使得λ落在这个区间的时候,该半正的分数阶微分方程边值问题有多个正解.     

SOLUTIONS FOR SUPERLINEAR(n-1,1)CONJUGATE BOUNDARY VALUE PROBLEMS

1 IntroductionIn this paPer) we are concerned with positive and nontrivial solutions for superlinear (n -1, 1) conjugate boundary value problem:where f: [0, 1] x R1 - R1 is continuous.In case n = 2, (1) describes various phenomena, such as nonlinear diffusion generated -by nonlinear $ourcesl thermal ignition of gases, and concentration in chendcal or biologicalproblems, see, for examPle [1-5]. Also, [6] used the second order case in modeling the one-dimensional Dirichlet problem;In case f(x,…     

Differentiability in the Sobolev space W^{1,n-1}

Let \(\Omega \subset {\mathbb {R}}^{n}\) be a domain, \(n \ge 2\) . We show that a continuous, open and discrete mapping \(f \in W_{\mathrm{loc }}^{1,n-1}(\Omega , {\mathbb {R}}^{n})\) with integrable inner distortion is differentiable almost everywhere on \(\Omega \) . As a corollary we get that the branch set of such a mapping has measure zero.     

带有中止检查规则（n－i）的CSP－1方案

本文引人转移概率母函数及幂级数等方法讨论带有中止规则（ｎ＊－ｉ）的连续抽样方案ＣＳＰ－１的中止概率Ｐ＊得到了Ｐ＊作为ＣＳＰ－１方案的度量的理论特性，证明了Ｄｏｄｇｅ型ＣＳＰ－１方案与带有中止规则（ｎ＊－ｉ）的ＣＳＰ－１方案具有相同的ＡＯＱ，ＡＦＩ，ＯＣ函数．文末还给出了一些数值结果．     

n-维赋范空间单位球极小球覆盖数2n-1与包含等距同构于(Rn,|| ||∞)的子空间

证明了对于-个n-维赋范空间X,如果b#=2n-1,则它一定包含一个与(Rn,|| ||∞)等距同构的子空间.     

EXISTENCE OF POSITIVE SOLUTIONS TO(n-1,1)CONJUGATE BOUNDARY VALUE PROBLEMS

1IntroductionInarecentpaper[fi,P.W.EloeandJ.Hendersonstudiedtheexistenceofpositivesolutionsofthefollowingnonlinear(n--l,l)conjugateboundaryvalueproblem'TheworkwassupportedbyNSFofHeilonaiiangandNNSFofChinawheref:[0,co)-[0,co),a:[0,l]-[0,co)arecontinuousand…     

n-1／n（G）表决系统中的可靠性分析

本文通过补充变量法研究了n-1/n(G)表决系统中可靠度,可用度,以及故障频度等可靠性的一系列指标.     

奇异(n-1,1)共轭边值问题的多重正解

利用锥映射不动点指数定理证明了非线性(n-1,1)共轭边值问题u(n)+a(t)[f(u)+m2u]=0,u(j)(0)=u(1)=0,0≤j≤n-2至少存在两个正解.本文允许a(t)在[0,1]两端点处具有奇性,并允许a(t)在[0,1]某些子区间上恒为零.     

(n-1)-半单的n-李代数的几何描述

证明了实数域上(n-1)-半单的(n+1)维n-李代数A是n维欧氏空间的Lorentz群O(p,n-p)与n维Abel正规子群的半直积的n-李代数.且当p=0时,A是n维欧氏空间的等距变换群的n-李代数.并提出了关于(n-1)-半单的(n+1)维n-李代数的外导子的物理应用与几何应用问题.     

Strong approximation by Fourier--Laplace series on the unit sphere S n-1

We study the strong approximation properties of the Cesáro means of order δ of the Fourier--Laplace expansion of functions integrable on the unit sphere S ^n-1, where δ ≥λ? (n-2)/2, the latter being the critical index for Cesáro summability of Fourier--Laplace series on S ^n-1. The main purpose of this paper is to extend known results from the unit circle S ¹to the general sphere S ^n-1 with n≥3. We prove six theorems. To prove Theorems 1-3, our machinery is based on the equiconvergent operator E ^δ _N (f) of the Cesáro means σ^δ _N (f) on S ^n-1 introduced by Wang Kunyang for δ>-1. We prove in Theorem 6 that E ^δ _N (f) is also equiconvergent with σ^δ _N (f) for δ>0 in the case of strong approximation. To prove Theorems 4 and 5, we rely on known equivalence relations between K-functionals and moduli of continuity.     

FLAT TIME-LIKE SUBMANIFOLDS IN ANTI-DE SITTER SPACE H_1~(2n-1) (-1)

By using dressing actions of the G(n1,n-1)1,1-system, the authors study geometric transformations for flat time-like n-submanifolds with flat, non-degenerate normal bundle in anti-de Sitter space H1(2n-1)(-1), where G(n-1,n-1)1,1 = O(2n - 2, 2)/O(n - 1,1)×O(n-1, 1).