中国科学院数学与系统科学研究院期刊网

15 November 1997, Volume 40 Issue 6
    

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  • YaoChen Zhu
    Acta Mathematica Sinica, Chinese Series. 1997, 40(6): . https://doi.org/10.12386/A1997sxxb0105
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    In this paper the irrationality of certain series concerning with the second order linear recurrences is proved. In particular, it is generalized that certain irrationality results relatedto Fibonacci and Lucas sequences.
  • FuKui Guo
    Acta Mathematica Sinica, Chinese Series. 1997, 40(6): . https://doi.org/10.12386/A1997sxxb0111
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    Based on a special subalgebra of the loop algebra  2, an isospectral problem is designed and an integrable hierarchy of equations with the Hamiltonian structure is worked out by using the Tu Guizhang scheme. This hierarchy contains both the non-linear Schrdinger equation and the MKdV equation, and so is named the NLS-MKdV hierarchy.
  • HuanGen Chen(1),WenTing Tong(2
    Acta Mathematica Sinica, Chinese Series. 1997, 40(6): . https://doi.org/10.12386/A1997sxxb0112
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    In this paper, we study power cancellations of modules over regular rings and obtain the characterization of power cancellations on inner direct sums. Moreover, we set up the structures of power comparability over regular rings, and give the relations among power cancellation, weakly power cancellation and unit-regularity.
  • WeiPing Yin,Wu Tong
    Acta Mathematica Sinica, Chinese Series. 1997, 40(6): . https://doi.org/10.12386/A1997sxxb0113
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    For a class of pseudoconvex domains E, the Aut(E)-invariant Khler metrics, its curvatures and Aut (E)-invariant harmonic functions are given in the explicit forms.
  • GuoHua Wu
    Acta Mathematica Sinica, Chinese Series. 1997, 40(6): . https://doi.org/10.12386/A1997sxxb0114
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    The nice ordering  on Qκλ isconstructed. We prove that if the weaκ partition property holds onQκλ, then: (1) for any nice ordering onQκλ, LP is always the same; (2) κis a weaκly compact cardinal.
  • ZongSheng Gao
    Acta Mathematica Sinica, Chinese Series. 1997, 40(6): . https://doi.org/10.12386/A1997sxxb0115
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    In this paper, we give the definition of quasialgebroid function in the plane, and establish a fundamental inequality. As its application we prove the existence of the sequence of filling disks of algebroid functions of finite or infinite order in the plane.
  • WanLi Yang
    Acta Mathematica Sinica, Chinese Series. 1997, 40(6): . https://doi.org/10.12386/A1997sxxb0116
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    This present paper, using the Gronwall's inequality and the duality technique, study the global existence of the solution for the semilinear ReactionDiffusion systems with the mixed boundary conditions, give some control conditions, and obtain the global existence, we improve and extend the results before this paper.
  • MaoHua Le
    Acta Mathematica Sinica, Chinese Series. 1997, 40(6): . https://doi.org/10.12386/A1997sxxb0117
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  • XiaoSheng Zhu(1)(2)
    Acta Mathematica Sinica, Chinese Series. 1997, 40(6): . https://doi.org/10.12386/A1997sxxb0118
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    In this paper, some new characterizations of coherent rings with “character modules”, “N0-injective dimensions” are given. Some interesting properties of coherent rings and IF rings are obtained. And, the results of theorem 2 in are generalized.
  • XuanHao Ding
    Acta Mathematica Sinica, Chinese Series. 1997, 40(6): . https://doi.org/10.12386/A1997sxxb0106
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    In this paper, we discuss the conditions of jointυ nitary equivalence of the coordinate functions tuple in several variable Bergman space and show that the coordinate functions tuple on Bergman spaces can′t joint unitary equivalent to analytic Toeplitz operators tuple on Hardy space.
  • Lei Li,CongXin Wu

    Acta Mathematica Sinica, Chinese Series. 1997, 40(6): . https://doi.org/10.12386/A1997sxxb0107
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    In this paper, we define φ-S sets in a complete lattice, discuss the properties of φ-S set family, give the characterizations of φ-continuous lattices, obtain the topological representation theorem of completely distributive lattices by the category of locally hypercompact Sober spaces.
  • WanTao Fu,XiaoQing Chen
    Acta Mathematica Sinica, Chinese Series. 1997, 40(6): . https://doi.org/10.12386/A1997sxxb0108
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     In this paper, approximation families of a cone in a Hausdorff locally convex space is established. In particular, we study the section property as well as the density and the connectedness of strictly efficiency. 
  • WeiGao Ge
    Acta Mathematica Sinica, Chinese Series. 1997, 40(6): . https://doi.org/10.12386/A1997sxxb0109
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    A transform theorem for differential-iterative equations is given. As its application a linear differential-iterative equation =ax bx(x), a>b>0, is discussed and errors in the proof of some results in are corrected.
  • FanPing Zeng,HongJian Xi
    Acta Mathematica Sinica, Chinese Series. 1997, 40(6): . https://doi.org/10.12386/A1997sxxb0110
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    The transformation ζ is defined in this paper.It is proved first that the Sarkovskii's theorem for Lorenz maps by using a much more simpler method than that used in and an error in is corrected, also it is obtained that the general relation between the existence of periodic orbits in an expanding Lorenz map and its expanding constants. Secondly, it is proved that Lorenz map f and its image ζ (f) under ζ have equal kneading determinants.Moreover, a sufficient condition is obtained so that the existence of periodic points in a generalized Lorenz map satisfying the Sarkovskii's order.
  • XiangYun Xie(1),XiaoJiang Guo(
    Acta Mathematica Sinica, Chinese Series. 1997, 40(6): . https://doi.org/10.12386/A1997sxxb0123
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    In this paper we introduce and study the C-left ideals of ordered semigroups. We discuss some elementary properties of C-left ideals, and give out the sufficient and necessary conditions of the existence of the greatest C-left ideal of an ordered semigroup by the concept of left bases of an ordered semigroup which is introduced in this paper. As an application, we characterize two classes ordered semigroups: C-left simple ordered semigroups and ordered semigroups which every proper left ideal is C-left ideal. The corresponding results on semigroups——without order——are obtained as an application of the results of this paper in the way indicated in .
  • Shu Wang(1)(2)
    Acta Mathematica Sinica, Chinese Series. 1997, 40(6): . https://doi.org/10.12386/A1997sxxb0124
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    This paper considers the global existence and blow up problem for the following nonlinear parabolic equations with nonlinear boundary conditionsut =Δum, vt=Δvm, x∈Ω, t>0,un=vp, vn=uq, x∈Ω, t>0,u(x,0)=u0(x)δ>0, v(x,0)=v0(x)δ>0, x∈(I)wherem,p,q>0,ΩRNis a bounded smooth domain,δ>0 maybe small.
  • ZiYou Gao,Fang Wu
    Acta Mathematica Sinica, Chinese Series. 1997, 40(6): . https://doi.org/10.12386/A1997sxxb0119
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    A new SQP type feasible algorithm is proposed for the minimization of a continuously differentiable function subject to nonlinear inequality constraints. The algorithm only needs to solve one quadratic programming subproblem per iteration and can produce feasible successive iterates which have global convergence and superlinear convergence under some suitable assumptions.
  • Rui Wang
    Acta Mathematica Sinica, Chinese Series. 1997, 40(6): . https://doi.org/10.12386/A1997sxxb0120
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     In this article, the techniques are based on the theory of kth residue and the related Lagrange theorem. Results generalize to its subsystems of residue with respect mod to p congruence relations in Wilson theorem and Wolstenholme theorem. As an example, an application to p=17 is given.
  • Acta Mathematica Sinica, Chinese Series. 1997, 40(6): . https://doi.org/10.12386/A1997sxxb0121
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    Let λ1,λ2,…,λn be characteristic numbers of linear differential equation system in complex field =A(t)x, t∈(0,∞), and A(t) =(aij(t))n×n has (n,N,r)diversity, rn, then  λj -limt→∞ 1t∫tt0Reajj (τ)dτn-1r+1-nlimt→∞ 1t∫tt0A*(τ)dτ, where j=1,2,…,n, A* (t)=max{|aij (t)|: i,j=1,2,…,n, i≠j}, t00.
  • Sha Huang
    Acta Mathematica Sinica, Chinese Series. 1997, 40(6): . https://doi.org/10.12386/A1997sxxb0122
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    In this paper, the author discusses generalized biregular function on bi domains in Clifford analysis. Firstly the Plemelj's formula is obtained and then considers the nonlinear boundary value problem: A(t 1, t 2)W ++ (t 1,t 2) +B(t 1, t 2) W +- (t 1,t 2) +C (t 1, t 2) W -+ (t 1,t 2) +D(t 1, t 2)W -- (t 1,t 2)=g(t 1,t 2) f t 1, t 2 , W ++ (t 1,t 2) ,W +- (t 1,t 2), W -+ (t 1,t 2) , W -- (t 1,t 2)).Applying the method of integral equations and Schauder fixed point theorem, the existence of solution for above problem is proved.
  • ShuHe Wang(1),JieHua Mai(2)
    Acta Mathematica Sinica, Chinese Series. 1997, 40(6): 901-912. https://doi.org/10.12386/A1997sxxb0125
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    Let $\lm_1,\lm_2,\cdots, \lm_n