C~(1,α)-PARTIAL REGULARITY FOR NONLINEAR ELLIPTIC SYSTEMS

Ｃ~（１，α）－ＰＡＲＴＩＡＬＲＥＧＵＬＡＲＩＴＹＦＯＲＮＯＮＬＩＮＥＡＲＥＬＬＩＰＴＩＣＳＹＳＴＥＭＳＴａｎｚｈｏｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＸｉａｍｅｎＵｎｉｖｅｒｓｉｔｙ，Ｘｉａｎｍｅｎ３６１００５，Ｃｈｉｎａ．）Ａｂ?..     

A SUFFICIENT AND NECESSARY CONDITION FOR A SET E WITH dim_HE=dim_pE

ＡＳＵＦＦＩＣＩＥＮＴＡＮＤＮＥＣＥＳＳＡＲＹＣＯＮＤＩＴＩＯＮＦＯＲＡＳＥＴ　ＥＷＩＴＨｄｉｍ＿ＨＥ＝ｄｉｍ＿ｐＥ￥ＬｉＷｅｎｘｉａ（李文侠）ＸｉａｏＤｏｎｇｍｅｉ（肖冬梅）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＣｅｎｔｒａｌＣｈｉｎａ...     

ON SOME EXTREMAL PROPERTIES OF ALGEBRAIC POLYNOMIALS

ＯＮＳＯＭＥＥＸＴＲＥＭＡＬＰＲＯＰＥＲＴＩＥＳＯＦＡＬＧＥＢＲＡＩＣＰＯＬＹＮＯＭＩＡＬＳＸｉｅＳｉｑｉｎｇ（谢四清）（ＷｕｈａｎＩｕｓｔ．ｏｆＭａｔｈ．Ｓｃｉ．ＡｃａｄｅｍｉａＳｉｎｉｃａ．Ｗｕｈａｎ４３００７１，Ｃｈｉｎａ．）ＯＮＳＯＭＥＥＸＴ...     

COMPLETE CONVERGENCE OF ERROR VARIANCE ESITIMATES UNDER Ф－MIXING ERROR IN LINEAR MODELS

ＣＯＭＰＬＥＴＥＣＯＮＶＥＲＧＥＮＣＥＯＦＥＲＲＯＲＶＡＲＩＡＮＣＥＥＳＩＴＩＭＡＴＥＳＵＮＤＥＲ￠－ＭＩＸＩＮＧＥＲＲＯＲＩＮＬＩＮＥＡＲＭＯＤＥＬＳＸｕｅＬｉｕｇｅｎ（薛留根）（ＸｕｃｈａｎｇＴｅａｃｈｅｒｓＣｏｌｌｅｇｅ，Ｈｅｎａｎ４６１０００...     

MAXIMUM TREES OF SUBSETS

ＭＡＸＩＭＵＭＴＲＥＥＳＯＦＳＵＢＳＥＴＳＷｕＳｈｉｑｕａｎ（巫世权）（Ｉｎｓｔ．ｏｆＡｐｐｌ．Ｍａｔｈ．，ＣｈｉｅｓｅＡｃａｄｅｍｙｏｆＳｃｉｅｎｃｅｓ，ＰＯＢｏｘ２７３４，Ｂｅｉｊｉｎｇ１０００８０，Ｃｈｉｎａ）Ａｂｓｔｒａｃｔ：ＬｅｔＸｂｅａｆ...     

MEAN VALUE OF ANALYTIC OPERATOR FUNCTIONS

ＭＥＡＮＶＡＬＵＥＯＦＡＮＡＬＹＴＩＣＯＰＥＲＡＴＯＲＦＵＮＣＴＩＯＮＳＹｕＸｉａｏｐｅｉ（喻小培）（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＣｅｎｔｒａｌＣｈｉｎａＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｗｕｈａｎ４３００７０，Ｃｈｉｎａ）ＪｉａｎＭｉｎｇ（蹇明）（Ｄ...     

一类改进的非凸二次规划有效集方法

一类改进的非凸二次规划有效集方法修乃华（河北师范学院数学系）ＡＣＬＡＳＳＯＦＩＭＰＲＯＶＥＤＡＣＴＩＶＥＳＥＴＭＥＴＨＯＤＳＦＯＲＮＯＮＣＯＮＶＥＸＱＵＡＤＲＡＴＩＣＰＲＯＧＲＡＭＭＩＮＧＰＲＯＢＬＥＭ￥ＸｉｕＮａｉ－ｈｕａ（Ｄｅｐｔ．ｏｆＭａｔｈ．...     

ABSOLUTE STABILITY OF CONTROL SYSTEM WITH MULTI-NONLINEAR FEEDBACK TERMS

ＡＢＳＯＬＵＴＥＳＴＡＢＩＬＩＴＹＯＦＣＯＮＴＲＯＬＳＹＳＴＥＭＷＩＴＨＭＵＬＴＩ－ＮＯＮＬＩＮＥＡＲＦＥＥＤＢＡＣＫＴＥＲＭＳ￥（廖晓昕，王晓君，舒卫华，吴卫华）ＬｉａｏＸｉａｏｘｉｎ；ＷａｎｇＸｉａｏｊｕｎ（Ｄｅｐｔ．ｏｆＭａｔｈｅｍａｔｉｃｓ，...     

OPTIMAL QUADRATURE OF THE SOBOLEV CLASS W_1~r(R) DEFINED ON WHOLE REAL AXIS

ＯＰＴＩＭＡＬＱＵＡＤＲＡＴＵＲＥＯＦＴＨＥＳＯＢＯＬＥＶＣＬＡＳＳＷ_１~ｒ（Ｒ）ＤＥＦＩＮＥＤＯＮＷＨＯＬＥＲＥＡＬＡＸＩＳ（房艮孙，刘永平）￥ＦａｎｇＧｅｎｓｕｎ；ＬｉｕＹｏｎｇｐｉｎｇ（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＢｅｉｊｉｎｇＮｏｒｍａｌＵｎｉ...     

A NOTE OF APPLICATION OF O．D．E． METHOD TO BCP ESTIMATES FOR THE POROUS MEDIUM EQUATION WITH CONVECTION

ＡＮＯＴＥＯＦＡＰＰＬＩＣＡＴＩＯＮＯＦＯ．Ｄ．Ｅ．ＭＥＴＨＯＤＴＯＢＣＰＥＳＴＩＭＡＴＥＳＦＯＲＴＨＥＰＯＲＯＵＳＭＥＤＩＵＭＥＱＵＡＴＩＯＮＷＩＴＨＣＯＮＶＥＣＴＩＯＮＬｕＧｕｏｆｕ（卢国富）（ＰｕｔｉａｎＣｏｌｌｅｅｅ，福建莆田高等专科学校，邮...     

[C(E) ,Ca(E)]中的唯一原子

对于集合X上的任一非平凡等价关系E,本文考察了半群T_E(x)上的同余C_*(E),并证明了C_*(E)是T_E(X)的同余格的完全子格[C(E),C_a(E)]中的唯一原子.     

Permanence properties of C(X,E)

Let C(X,E) be the vector space of all continuous functions on a completely regular Hausdorff space X with values in a locally convex space E, equipped with the compact-open topology. In this note it will be shown that for many classes of locally convex spaces K C(X,E) lies in K if and only if C(X)=C(X,¦K) (¦K=¦R or C) and E belong to K. This is valid for the classes K. of all metrizable, normed, (DF)-, -locally topological, separable, quasi-complete, complete, nuclear, Schwartz, semi-Montel, Montel, semi-reflexive, reflexive and quasi-normable locally convex spaces, respectively. But in general C(X,E) is not quasi-barrelled, barrelled and bornological, respectively, if C(X) and E belong to the same class. We shall give sufficient conditions for C(X,E) to be quasi-barrelled and barrelled, respectively.Herrn Professor Gottfried Köthe zum 75. Geburtstag gewidmet     

从β0到E(p,q)和E0(p,q)空间的复合算子

设ψ是单位园盘D到自身的解析映射,X是D上解析函数的Banach空间,对f∈X,定义复合算子Cψ:Cψ(f)=foψ.我们利用从β0到E(p,q)和E0(p,q)空间的复合算子研究了空间E(p,q)和E0(p,q),给出了-个新的特征.     

Bornological and ultrabornological C(X;E) spaces

Denote by C_s(X;E) the space of the continuous functions defined on the completely regular and Hausdorff space X, with values in the locally convex topological vector space E, when it is endowed with the simple or point-wise convergence topology. We give here some conditions on X and on E under which the space C_s(X;E) is bornological or ultrabornological and characterize in some cases the corresponding associated spaces. We give also a few results concerning the case of the compact connvergence topology.     

E1^3中类空曲面上的一类直线汇

研究了三维Minkowski空间E1^3中,类空曲面上曲率线族的切线构成的双曲型直线汇.不仅推广了Abdel-Baky^[1,2]的结论,还进一步研究了此类线汇在E1^3中的其它性质.     

夹心半群S(X,Y,θ)上的α-同余

本文讨论了夹心半群T(X,Y,θ)上的α-同余与集合Y上Tθ-等价关系之间的联系,证明了对于每个Tθ-等价关系E,夹心半群同余格C(T(X,Y,θ))的完全子格γ-1(E)中的最大元是一个α-同余,并判明Symons同余l,d都是α-同余.对于某些拓扑空间X,Y,确定了夹心半群S(X,Y,θ)上的最小(最大)真α-同余.     

关于三维Minkowski空间中直线汇的一点补充

本文在[1]的基础上继续研究了三维Minkowski空间E31中,直线汇异于欧式空间的一些性质.     

Orthodox Congruences on An Eventually Regular Semigroup

It is shown that each regular congruence on an eventually regular semigroup is uniquely determined by its kernel and hyper-trace. Furthermore, the orthodox congruences (resp., the regular congruences ) on an eventually regular (resp., orthodox) semigroup S are described by means of certain congruence pair (ξ, K), where ξ is a certain normal congruence on the subsemigroup 〈E(S)〉 generated by E(S) and K is a certain normal subsemigroup of S.     

I_(E*)(X)中E类方向保序变换半群的秩

设X为有限集合,E为X上的等价关系.令OPPI_E*(X)为所有I_R*(X)中E类方向保序变换构成的半群.在一定的条件下讨论了OPPI_E*(X)的Green关系与秩.     

关于K_(2n)-E(C_m)的点可区别边色数

图G的一个k-正常边染色f被称为点可区别边染色是指任何两点的点及其关联边的色集合不同,所用最小的正整数k被称为G的点可区别边色数,记为X'_(vd)(G).用k_(2n)-E(C_m)表示2n阶完全图删去其中一条m阶路的边后得到的图,得到了K_(14)-E(C_4),K_(16)-E(C_4),K_(18)-E(C_5),K_(20)-E(C_5)的点可区别边色数分别为14,16,18,20.