中国科学院数学与系统科学研究院期刊网

15 June 1996, Volume 12 Issue 2
    

  • Select all
    |
    Articles
  • Ge Weigao
    Acta Mathematica Sinica. 1996, 12(2): 113-121. https://doi.org/10.1007/BF02108151
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    For an odd function 1/2(x) defined only on a finite interval, this paper deals with the existence of periodic solutions and the number of simple periodic solutions of the differential delay equation (DDE) x . By use of the method of qualitative analysis combined with the constructing of special solutions a series of interesting results are obtained on these problems.
  • Cui Guizhen
    Acta Mathematica Sinica. 1996, 12(2): 122-125. https://doi.org/10.1007/BF02108152
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    A conjugacy between C1+α Σ-hyperbolic circle covering maps is C1+α if it has a positive derivative on some point in the Σ-set.
  • Hu Zejun, Li Haizhong
    Acta Mathematica Sinica. 1996, 12(2): 126-132. https://doi.org/10.1007/BF02108153
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    Let M be a compact minimal surface in S3. Y. J. Hsu[5] proved that if ∥S2≤2√2π, then M is either the equatorial sphere or the Clifford torus, where S is the square of the length of the second fundamental form of M,‖·‖2 denotes the L2-norm on M. In this paper, we generalize Hsu's result to any compact surfaces in S3 with constant mean curvature.
  • Zhang Zhenqiu
    Acta Mathematica Sinica. 1996, 12(2): 133-140. https://doi.org/10.1007/BF02108154
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    In this paper, we investigate the generalized Sublaplacian. We give the expression of the restriction operators explicitly. By introducing the generalized λ-twisted convolutions, we obtain the estimates of the restriction operators in the mixed Lp spaces. Finally, we get a restriction theorem associated with the generalized Sublaplacian.
  • Liu Chunlei
    Acta Mathematica Sinica. 1996, 12(2): 141-150. https://doi.org/10.1007/BF02108155
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    In this paper it is proved that

    wherer=4,q is a prime power,χ and ψ are multiplicative and additive characters modulo q respectively, withχ nontrivial.
  • Meng Jixiang, Huang Qiongxiang
    Acta Mathematica Sinica. 1996, 12(2): 151-155. https://doi.org/10.1007/BF02108156
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    It has been conjectured that there is a hamiltonian cycle in every finite connected Cayley graph. In spite of the difficulty in proving this conjecture, we show that almost all Cayley graphs are hamiltonian. That is, as the order n of a group G approaches infinity, the ratio of the number of hamiltonian Cayley graphs of G to the total number of Cayley graphs of G approaches1.
  • Zhou Mai
    Acta Mathematica Sinica. 1996, 12(2): 156-161. https://doi.org/10.1007/BF02108157
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    In this paper we disscus the relative index for the Atiyah-Patodi-Singer type elliptic boundary value problems, as an application we give a new approach to the pairing between the relative K-homology and K-cohomology.
  • Hou Duo, Bruce Torrence
    Acta Mathematica Sinica. 1996, 12(2): 162-166. https://doi.org/10.1007/BF02108158
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    We show that for any differentiable involution on an r-dimensional manifold (M, T) whose fixed point set F is a disjoint union of real projective spaces of constant dimension 2n, we have:if r=4n then (M,T) is bordant to (F×F, twist), if 2n<r≠4n then (M,T) bounds.
  • Shen Yibing, Dong Yuxing
    Acta Mathematica Sinica. 1996, 12(2): 167-174. https://doi.org/10.1007/BF02108159
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    In this paper we study surfaces in S4 and their twistor Gauss maps. Some necessary and sufficient conditions that the twistor Gauss map is harmonic are given. We find many examples of nonisotropic harmonic maps from a surface to CP3.
  • Lou Zengjian
    Acta Mathematica Sinica. 1996, 12(2): 175-184. https://doi.org/10.1007/BF02108160
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    We give several equivalences of Bloch functions and little Bloch functions. Using these results we obtain the generalized Carleson measure characterization of Bloch functions and the generalized vanishing Carleson measure characterization of little Bloch functions, that is,f εB if and only if |Dβ f(z)|p (1-|z|2)βp-1 dm(z) is a generalized Carleson measure;f εB 0 if and only if |Dβ f(z)|p (1-|z|2)βp-1 dm(z) is a generalized vanishing Carleson measure, where Dβ f(β > 0) is the fractional derivative of analytic function f of order Β, m denotes the normalised Lebesgue measure.
  • Chen Weihuan, Rahman. M. S.
    Acta Mathematica Sinica. 1996, 12(2): 185-190. https://doi.org/10.1007/BF02108161
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    Symmetry properties of self-conjugate minimal surfaces, i.e. minimal surfaces which are congruent with their conjugate ones in R3 are studied.
  • Wu Pengcheng
    Acta Mathematica Sinica. 1996, 12(2): 191-204. https://doi.org/10.1007/BF02108162
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    This paper proves the following result:Let f(z) be a meromorphic function in the z-plane with a deficient value, and δ(θ k )(k=1,2, ...,q;0≤θ12<...<θ q<θq+1=θ1+2π) be q rays (1≤q<∞) starting at the origin, and let n≥3 be an integer such that for any given positive numberε,0<ε<π/2,

    where Ν is a constant independent of ε. If Μ<∞, then we have

    where Μ and λ denote the lower order and order of f(z), respectively,Ω=minθk+1k;1≤k≤q, and n(E, f=a) is the number of zeros of f(z)-a in E with multiple zeros being counted with their multiplicities.
  • Guo Boling, Yuan Guangwei
    Acta Mathematica Sinica. 1996, 12(2): 205-216. https://doi.org/10.1007/BF02108163
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    In this paper we construct the suitable weak solution for the initial-boundary value problem of the Boussinesq equations and obtain some properties for these solutions. Also in the case of a two dimensional space the uniqueness of weak solution is proved.
  • Zeng Yunbo, Li Yishen
    Acta Mathematica Sinica. 1996, 12(2): 217-224. https://doi.org/10.1007/BF02108164
    Abstract ( ) Download PDF ( )   Knowledge map   Save
    By using a general scheme for decomposing a zero-curvature equation into two commuting x- and tn -finite-dimensional integrable Hamiltonian systems (FDIHS), a systematic deduction of the Lax representation for all constrained flows of the AKNS hierarchy from the adjoint representation of the two auxiliary linear problems is presented. The Darboux transformation for these FDIHSs is derived.