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2004年 第19卷 第2期    刊出日期：2004-06-30

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单位球上Hardy空间之间的加权复合算子

徐辉明, 刘太顺

2004, 19(2):  111-119. 

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We consider the weighted composition operators between Hardy spaces on the unit ball, and obtain some sufficient and necessary conditions of bounded or compact weighted composition operators. We also prove that the operator from H¹ to H¹ is compact if and only if it is weakly compact. Meanwhile, we get the analogue on the Bergman spaces.





Spin^c Dirac算子的特征值

冯秀芳, 兰社云, 丁璐, 郑驻军

2004, 19(2):  120-125. 

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In this paper we research the lower bound of the eigenvalue of Spinc Dirac operator on the Spinc manifold. By the Weisenbock formula, we get an estimate of it, then following the idea of Th Friedrich [2] and X Zhang [6]. We get a finer estimate of it. As an application, we give a condition when the Seiberg-Witten equation only has 0 solution.



双边定数截尾和定数截尾数据缺失场合下Birnbaum-Saunders疲劳寿命分布的统计分析

王蓉华, 费鹤良

2004, 19(2):  126-132. 

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In present paper, we obtain the inverse moment estimations of parameters of the Birnbaum-Saunders fatigue life distribution based on Type-Ⅱ bilateral censored samples and multiply Type-Ⅱ censored sample. In this paper, we also get the interval estimations of the scale parameters.

T_m（l, 4, m - 6）补图的色唯一性

张淑敏

2004, 19(2):  133-141. 

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In the paper, we prove that the complement of Tm(1,4,m - 6)(m > 10) is chromatically unique if and only if m ≠5k(k ≥ 2).



一类无充分下降条件的非单调共轭梯度法的全局收敛性分析

杜守强, 陈元媛

2004, 19(2):  142-145. 

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In [3] Liu et al. investigated global convergence of conjugate gradient methods. In that paper they allowed βκ to be selected in a wider range and the global convergence of the corresponding algorithm without sufficient decrease condition was proved. This paper investigates global convergence of nonmonotone conjugate gradient method under the same conditions.





具有AR(q)误差非线性回归模型的几何性质

刘应安, 韦博成

2004, 19(2):  146-154. 

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This paper is devoted to a study of geometric properties of AR(q) nonlinear regression models. We present geometric frameworks for regression parameter space and autoregression parameter space respectively based on the weighted inner product by fisher information matrix. Several geometric properties related to statistical curvatures are given for the models. The results of this paper extended the work of Bates & Watts(1980,1988) [1,2] and Seber & Wild(1989) [3].



表大偶数为两个Piatetski-Shapiro素数之和

孟宪萌

2004, 19(2):  155-159. 

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In this paper, we study the binary Goldbach problem in the set of the Piatetski-Shapiro primes. We obtain that for all most all large even integer n, the equationn = p1+p2, pi∈Pγi, i = 1, 2has solutions, where 0 < γ1,γ2 ≤ 1 are fixed real numbers, such that 73(1 - γ2) < 9, 73(1 - γ1) + 43(1 - γ2) < 9.



关于拟线性系统的一个Robin问题

欧阳成

2004, 19(2):  160-163. 

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 In this paper, a Robin problem for quasi-linear system is considered. Under the appropriate assumptions, the existence of solution for the problem is proved and the asymptotic behavior of the solution is studied using the theory of differential inequalities.





一类Liapunov方程的概周期解

朱焕然

2004, 19(2):  164-171. 

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By using exponential dichotomies and Liapunov function method, we have studied the existence of almost periodic solutions on a Lienard system and have obtained some simple sufficient condition.



奇数阶泛对角线雪花幻方的构作

张世德, 卢青文, 王际昭

2004, 19(2):  172-185. 

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The constructional methods of pandiagonal snowflake magic squares of orders 4m are established in paper [3]. In this paper, the constructional methods of pandiagonal snowflake magic squares of odd orders n are established with n = 6m+l, 6m+5 and 6m+3, m is an odd positive integer and m is an even positive integer 9|6m + 3. It is seen that the number sets for constructing pandiagonal snowflake magic squares can be extended to the matrices with symmetric partial difference in each direction for orders 6m + 1 , 6m + 5; to the trisection matrices with symmetric partial difference in each direction for order 6m + 3. 


某些二阶微分方程解的渐近性

徐志庭, 夏勇

2004, 19(2):  186-187. 

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Two criteria for asymptotic behavior of certain second order differential equations are obtained. The results extend and improve Feng’s theorem.





尺度函数的两个性质

吴华安, 张桂贞

2004, 19(2):  188-191. 

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Two properties are given in this paper about the scaling function: suppose V_j; j ∈ Z is a multiresolution analysis with a continuous scaling function φ which have compact support set and that φ the Fourier transform of φ is a continuous real function, compactly supported, then φ(0) ≠ 0 and when supp φ = [a₁,b₁]∪[a₂,b₂](b₁ < a₂,0 < a₂), then we havea1 ≤ 0, 0 < b₁, a₁ < b₂/2 ≤ b₁, 2π < b₂ - a₁ ≤ 8π.



一类Zakharov-Kuznestov方程解的正则性

马韵新, 郭田芬

2004, 19(2):  192-197. 

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In this paper, we consider the regularity of solution in S for Zakharov-Kuznestov equation in H^s(s > 2). Meanwhile, by method of undetermined coefficient we prove that there don’t exist and conservative integral include 2 order of higher order derived functions.





结合修正Curry-Altman步长搜索一个新的共轭梯度算法的收敛性

曹丽华, 孙清滢

2004, 19(2):  198-204. 

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Conjugate gradient optimization algorithms depend on the search directions with different choices for the parameter in the search directions. In this note, conditions are given on the parameter in the conjugate gradient directions to ensure the descent property of the search directions. Global convergence of such a class of methods is discussed. It is shown that, using reverse modulus of continuity function and forcing function, the new method for solving unconstrained optimization can work for a continuously differentiable function with a modification of the Curry-Altman’s step-size rule and a bounded level set. Combining PR method with our new method, PR method is modified to have global convergence property. Numerical experiments show that the new methods are efficient by comparing with FR conjugate gradient method. 


乘法算子在α-Bloch空间上的有界性

郭继东, 娄增建

2004, 19(2):  205-208. 

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In this note we study and give a full characterization of the boundeness of multiplication operators on α-Bloch spaces.



 (R（G]）^G的Jacobson-根

胡长流, 汪远征

2004, 19(2):  209-212. 

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 In this paper,the Jacobson radical of (R[G])G, the fixed point subring of a group ring (R[G]) is studied. Some related properties of (R[G])^G are discussed.



关于一个奇异积分的估计

乔建伟, 凌凤彩, 张振峰

2004, 19(2):  213-217. 

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 In this note, we present some detail estimates for the integral with general integer k, as well as a singular integral formed from it, which would be useful for some nonlinear additive problems of primes.



绝对连续测度的Loeb代数

陈东立, 苑文法

2004, 19(2):  218-220. 

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It is proved that if μ and v be finite measures on a measurable space (X, S) and v is absolutely continuous with respect to v, then it is holds that L(* S, * μ) L(* S, *v), while L(*S, *μ) and L(*S, V) are the Loeb algebras with respect to measure spaces (X, S,μ) and (X,S,v).