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共有20条相似文献,以下是第1-20项 搜索用时 93 毫秒

1.  A ■_n-Related Family of Homotopy Elements in the Stable Homotopy of Spheres  
   Xiugui LIU  Jianming XIAO  Da ZHENG《数学年刊B辑(英文版)》,2018年第5期
   To determine the stable homotopy groups of spheres π_*(S) is one of the central problems in homotopy theory. Let p be a prime greater than 5. The authors make use of the May spectral sequence and the Adams spectral sequence to prove the existence of a ■_n-related family of homotopy elements, β1ω_nγ_s, in the stable homotopy groups of spheres, where ■_n 3, 3≤s p-2 and the ■_n-element was detected by X. Liu.    

2.  ON AN INFINITE FAMILY IN π*S  
   刘秀贵《数学物理学报(B辑英文版)》,2014年第1期
   In this paper, a new family of homotopy elements in the stable homotopy groups of spheres represented by h1hnhm γ?s in the Adams spectral sequence is detected, where n-2≥m≥5 and 3≤s 〈p.    

3.  某类沿曲线的振荡积分  
   王梦  陈杰诚  范大山《数学年刊A辑(中文版)》,2007年第1期
   对R~2上沿曲线(t,γ(t))的振荡积分算子■进行了研究,其中,γ(t)=|t|~k或γ(t)=sgn(t)|t|~k,α,β,k为使得算子T_(α,β)有定义的任意实效.假设αβ>0,|β|>3|α|以及β≠1,得到T_(α,β)在L~p(R~2)上有界,当且仅当k≠β,其中p∈((2β)/(2β-3α),(2β)/(3α)).    

4.  一类二阶渐近周期微分方程的正同宿轨道  
   王为民  吴绍平《高校应用数学学报(英文版)》,2002年第17卷第1期
   § 1 IntroductionIn this note we are concerned with the asymptotically periodic second order equation-u″+α( x) u =β( x) uq +γ( x) up,  x∈ R,( 1 )where1    

5.  某类沿曲线的振荡积分  
   王梦  陈杰诚  范大山《数学年刊A辑》,2007年第28卷第1期
   对R2上沿曲线(t,γ(t))的振荡积分算子τα,βf(x, y) = ∫R f(x - t, y - γ(t))e-i|t|-βt-1|t|-αdt进行了研究,其中γ(t)=|t|κ或γ(t)=sgn(t)|t|κ,α,β,κ为使得算子τα,β有定义的任意实数.假设αβ>0,|β|>3|α|以及β≠1,得到τα,β在Lp(R2)上有界,当且仅当κ≠β,其中p ∈ (2β/(2β-3α),2β/3α).    

6.  Oscillatory Strongly Singular Integral Associated to the Convex Surfaces of Revolution  
   Jiecheng Chen  Shaoyong He  Xiangrong Zhu《分析论及其应用》,2016年第4期
   Here we consider the following strongly singular integral TΩ,γ,α,βf(x,t)=∫Rnei|y|-βΩ(y/|y|)f(x-y,t-y(|y|))dy,where Ω∈ LP (Sn-1),p > 1,n > 1,α > 0 and γ is convex on (0,co).We prove that there exists A(p,n) > 0 such that if β > A(p,n) (1 +α),then TΩ,γ,α,β is bounded from L2 (Rn+1) to itself and the constant is independent of γ.Furthermore,when Ω ∈ C∞(sn-1),we will show that TΩ,γ,α,β is bounded from L2 (Rn+1) to itself only if β > 2α and the constant is independent of γ.    

7.  TWO POSITIVE SOLUTIONS FOR A CLASS OF SINGULAR BOUNDARY VALUE PROBLEMS  
   郝兆才  张洪谦  屈跃宽《Annals of Differential Equations》,2003年第4期
   An existence theorem of two positive solutions of the singular BVP1/(p(t))(p(t)y′(t))′+λα(t)f(y(t))=0,t∈(0,1),αy(0)-βp(t)y′(t)=0=γy(1)+δp(t)y′(t)was established by using topological degree theory.    

8.  一个三角恒等式的简证  
   刘大岱《数学通讯》,2003年第11期
   文 [1]中证明了一个恒等式 :若α + β +γ =nπ(n∈Z) ,则tanαtan(β -γ) +tanβtan(γ -α) +tanγtan(α - β) =-tanαtanβtanγtan(α - β)tan(β -γ)tan(γ -α) ( ) .其证明太繁 ,下面笔者给出一个自然简单证明以供参考 .同时将看到上式中条件α+ β +γ =nπ是多余的 .证明 由正切和差公式易知 :tanα -tanβ =tan(α - β) (1+tanαtanβ) ,tanα +tanβ =tan(α + β)(1-tanαtanβ) .当α + β +γ =0时 ,tan(α + β) =-tanγ ,则tanα +tanβ +tanγ =tanαtanβtanγ .∵ (α - β) + (β -γ) + (γ -α) =0 ,∴tan(…    

9.  1~∞型不定式中等价无穷小代换  
   李海根  周肇锡《大学数学》,1993年第2期
   <正> 设α、α′、β、β′γ、γ′为同一极限过程中的远佃小,且有α~α′,β~β′,γ~γ′),试问是否一定有α+β~α′+β′(A)lim (α+β)/γ=lim (α′+β′)/γ′(B)成立?答案是不一定,为此我们可以举出下面的反例,若令α=α′=x,β=-sinx,β′=-x,γ=γ′=x~3,则α+β=x-sinx,α′+β′=0,故(A)不成立,lim (α+β)/γ=1/6,lim (α′+β′)=0,故(B)不成立,但若附加条件lim α/β存在,且    

10.  Quasilinear elliptic equations with Neumann boundary and singularity  
   Bing-yu Kou and Shuang-jie Peng《应用数学学报(英文版)》,2009年第25卷第4期
   Let Ω be a bounded domain with a smooth C2 boundary in RN(N ≥ 3), 0 ∈Ω, and n denote the unit outward normal to ЭΩ.We are concerned with the Neumann boundary problems: -div(|x|α|△u|p-2△u)=|x|βup(α,β)-1-λ|x|γup-1,u(x)〉0,x∈Ω,Эu/Эn=0 on ЭΩ,where 1〈p〈N and α〈0,β〈0 such that p(α,β)△=p(N+β)/N-p+α〉p,y〉α-p.For various parameters α,βorγ,we establish certain existence results of the solutions in the case 0∈Ω or 0∈ЭΩ.    

11.  一类差分方程解的全局性分析  
   伍晖  孙太祥  韩彩虹  席鸿建《大学数学》,2011年第27卷第2期
   研究差分方程xn+1=βxn+∑pi=1γixn-i/A+Bxn+∑qn=0,1,Cjxn-jn=0,1,…的全局性质,其中A,B,β∈(0,+∞),p,q∈N+={1,2,…},α=max{p,q},γ1,γ2,…,γp,C1,C2,…,Cq∈[0,1],满足∑i=1γi=∑j=1Cj=1,初始值x0,x-1,…,x-α∈(0,∞).得到该方程的每个正解收敛于平衡解的若干充分条件.    

12.  Riccati微分方程的可积条件  被引次数:6
   赵临龙《数学季刊》,1999年第14卷第3期
   In1998,ZhaoLinlong[1]obtainedtheintegrablecondition:R=1αγPe2∫(Q-βD)dx   (α,β,γisconst).(1)ForRiccatiequation:y′=p(x)y2+Q(x)y+R(x)  (PR≠0).(2)  Herethenewintegrableconditionsisgiven:L[y0]=1αγPe2∫(Q+2y0p-βD)dx.(3)L[AB+y0]=1αγ(AB)2L[y0]e2∫(2BAL[y0]+Q+2y…    

13.  Detection of Some Elements in the Stable Homotopy Groups of Spheres  
   Xiugui LIU《数学年刊B辑(英文版)》,2008年第29卷第3期
   Let A be the mod p Steenrod algebra and S be the sphere spectrum localized at an odd prime p. To determine the stable homotopy groups of spheres π*S is one of the central problems in homotopy theory. This paper constructs a new nontrivial family of homotopy elements in the stable homotopy groups of spheres πp^nq+2pq+q-3S which isof order p and is represented by kohn ∈ ExtA^3,P^nq+2pq+q(Zp,Zp) in the Adams spectral sequence, wherep 〉 5 is an odd prime, n ≥3 and q = 2(p-1). In the course of the proof, a new family of homotopy elements in πp^nq+(p+1)q-1V(1) which is represented by β*i'*i*(hn) ∈ ExtA^2,pnq+(p+1)q+1 (H^*V(1), Zp) in the Adams sequence is detected.    

14.  A note on the Hoffman-Wielandt theorem for generalized eigenvalue problems  
   Xiao-shan Chen and Wen Li《应用数学学报(英文版)》,2009年第25卷第1期
   Let {A, B} and {C, D} be diagonalizable pairs of order n, i.e., there exist invertible matrices P, Q and X, Ysuchthat A = P∧Q, B = PΩQ, C =XГY, D= X△Y, where
∧ = diag(α1, α2, …, αn), Ω= diag(βl, β2, …βn),
Г=diag(γ1,γ2,…,γn), △=diag(δl,δ2,…,δn).
Let ρ((α,β), (γ,δ))=|αδ-βγ|/√|α|^2+|β|^2√|γ|^2+|δ|^2.In this paper, it will be proved that there is a permutation τ of {1,2,... ,n} such that
n∑i=1[ρ((αi,βi),(γτ(i),δτ(i)))]^2≤n[1-1/κ^2(Y)κ^2(Q)(1-d2F(Z,W)/n)],
where κ(Y) = ||Y||2||Y^-1||2,Z= (A,B),W= (C, D) and dF(Z,W) = 1/√2||Pz* -Pw*||F.
   

15.  两道三角题的多变  
   吴中强《中学数学》,1987年第1期
   六年制重点中学高中数学课本《代数》第一册p219有这样两道题目: sinα+Sinβ+sinγ-sin(α+β+γ)=4nin(α+β)/2sin(β+r)/2sin(r+α)/2cosα+cosβ+COSr+COs(α+β+r)=4cos(α+β)/2cos(β+r)/2cos(r+α)/2 利用和差化积公式即可证得,这里从略。下面我们把(1)、(2)作为基本关系式,对a、β、γ作某种代换,就可变换出一些常见的三角恒等式。为节省篇幅,这些恒等式的推证过程请读者自己完成。    

16.  两道三角题的多变  
   吴中强《中学数学》,1987年第1期
   六年制重点中学高中数学课本《代数》第一册p219有这样两道题目: sinα+Sinβ+sinγ-sin(α+β+γ)=4nin(α+β)/2sin(β+r)/2sin(r+α)/2cosα+cosβ+COSr+COs(α+β+r)=4cos(α+β)/2cos(β+r)/2cos(r+α)/2 利用和差化积公式即可证得,这里从略。下面我们把(1)、(2)作为基本关系式,对a、β、γ作某种代换,就可变换出一些常见的三角恒等式。为节省篇幅,这些恒等式的推证过程请读者自己完成。    

17.  A Remark on the Generalized Roper-Suffridge Extension Operator for Almost Stalike Mappings of Order α  
   LIU Xiao-song~1 FENG Shu-xia~2 《数学季刊》,2007年第22卷第1期
   Suppose f is an almost starlike function of orderαon the unit disk D.In this paper,we will prove thatΦ_(n,β_2,γ_2,…,β_n,γ_n)(f)(z)=(f(z_1),((f(z_1)/z_1))~β_2(f′(z_1))~(γ_2)z_2,…, ((f(z_1)/z_1))~(β_n)(f′(z_1))~(γ_n)z_n)′preserves almost starlikeness of orderαonΩ_(n,p_1,p_2,…,p_n)={z= (z_1,z_2,…,z_n)′∈C~n:(sum from j=1 to n)|z_j|~(p_j)<1},where 0    

18.  HLDER CONTINUOUS SOLUTIONS FOR SECOND ORDER INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES  
   步尚全《数学物理学报(B辑英文版)》,2011年第3期
   We study Hlder continuous solutions for the second order integro-differential equations with infinite delay (P1): u′′(t)+cu′(t)+∫t-∞β(t-s)u′(s)ds+∫t-∞γ(t-s)u(s)ds = Au(t)-∫t-∞δ(t-s)Au(s)ds + f(t)on the line R, where 0 < α < 1, A is a closed operator in a complex Banach space X, c ∈ C is a constant, f ∈ C~α(R,X) and β,γ,δ∈L~1(R+).Under suitable assumptions on the kernels β, γ and δ, we completely characterize the C~α- well-posedness of (P_1) by using operator-valued C~α-Fourier multipliers.    

19.  ON THE CLASS φ_p~*(α,β,γ,ε,η;A) of p-VALENT FUNCTIONS WITHREFERENCE TO THEBERNARDI INTEGRAL OPERATOR  
   蹇明《数学物理学报(B辑英文版)》,1994年第4期
   ONTHECLASSφ_p~*(α,β,γ,ε,η;A)ofp-VALENTFUNCTIONSWITHREFERENCETOTHEBERNARDIINTEGRALOPERATORJianMing(蹇明)(WuhanUniversity,Wuhan430...    

20.  SOME INTEGRAL INEQUALITIES FOR THE POLAR DERIVATIVE OF A POLYNOMIAL  
   Abdullah Mir  Sajad Amin Baba《分析论及其应用》,2011年第27卷第4期
   If P(z) is a polynomial of degree n which does not vanish in |z| 1,then it is recently proved by Rather [Jour.Ineq.Pure and Appl.Math.,9 (2008),Issue 4,Art.103] that for every γ 0 and every real or complex number α with |α|≥ 1,{∫02π |D α P(e iθ)| γ dθ}1/γ≤ n(|α| + 1)C γ{∫02π|P(eiθ)| γ dθ}1/γ,C γ ={1/2π∫0 2π|1+eiβ|γdβ}-1/γ,where D α P(z) denotes the polar derivative of P(z) with respect to α.In this paper we prove a result which not only provides a refinement of the above inequality but also gives a result of Aziz and Dawood [J.Approx.Theory,54 (1988),306-313] as a special case.    

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