POSITIVE SOLUTIONS AND BIFURCATION OF FULLY NONLINEAR ELLIPTIC EQUATIONS INVOLVING SUPER－CRITICAL SOBOLEV EXPONENTS

ＰＯＳＩＴＩＶＥＳＯＬＵＴＩＯＮＳＡＮＤＢＩＦＵＲＣＡＴＩＯＮＯＦＦＵＬＬＹＮＯＮＬＩＮＥＡＲＥＬＬＩＰＴＩＣＥＱＵＡＴＩＯＮＳＩＮＶＯＬＶＩＮＧＳＵＰＥＲ－ＣＲＩＴＩＣＡＬＳＯＢＯＬＥＶＥＸＰＯＮＥＮＴＳ￥ＱＵＣＨＡＮＧＺＨＥＮＧ（屈长征）（Ｉｎｓ...     

UNIFORM STABILITY AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF 2-DIMENSIONAL MAGNETOHYDRODYNAMICS EQUATIONS

ＵＮＩＦＯＲＭＳＴＡＢＩＬＩＴＹＡＮＤＡＳＹＭＰＴＯＴＩＣＢＥＨＡＶＩＯＲＯＦＳＯＬＵＴＩＯＮＳＯＦ２－ＤＩＭＥＮＳＩＯＮＡＬＭＡＧＮＥＴＯＨＹＤＲＯＤＹＮＡＭＩＣＳＥＱＵＡＴＩＯＮＳＺＨＡＮＧＬＩＮＧＨＡＩＭａｎｕｓｃｒｉｐｔｒｅｃｅｉｖｅｄＪｕ...     

FORCED OSCILLATIONS OF HYPERBOLIC DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS

ＦＯＲＣＥＤＯＳＣＩＬＬＡＴＩＯＮＳＯＦＨＹＰＥＲＢＯＬＩＣＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＷＩＴＨＤＥＶＩＡＴＩＮＧＡＲＧＵＭＥＮＴＳＣＵＩＢＡＯＴＯＮＧ（崔宝同）（ＢｉｎｚｈｏｕＮｏｒｍａｌＣｏｌｌｅｇｅ，Ｂｉｎｚｈｏｕ２５６６０４，Ｃ...     

STRONGLY ALGEBRAIC LATTICES AND CONDITIONS OF MINIMAL MAPPING PRESERVING INFS

ＳＴＲＯＮＧＬＹ ＡＬＧＥＢＲＡＩＣ ＬＡＴＴＩＣＥＳ ＡＮＤ ＣＯＮＤＩＴＩＯＮＳ ＯＦ ＭＩＮＩＭＡＬ ＭＡＰＰＩＮＧ ＰＲＥＳＥＲＶＩＮＧ ＩＮＦＳ ￥ＸＵＸＩＡＯＱＵＡＮＡｂｓｔｒａｃｔ：Ｔｈｅｔａｂｏｒｇｉｖｅｓｓｏｍｅｃｈａｒａｃｔｅｒｉ...     

NECESSARY AND SUFFICIENT CONDITIONS FOR OSCILLATIONS OF NEUTRAL DELAY DIFFERENTIAL EQUATIONS WITH SE

ＮＥＣＥＳＳＡＲＹＡＮＤＳＵＦＦＩＣＩＥＮＴＣＯＮＤＩＴＩＯＮＳＦＯＲＯＳＣＩＬＬＡＴＩＯＮＳＯＦＮＥＵＴＲＡＬＤＥＬＡＹＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＷＩＴＨＳＥＶＥＲＡＬＰＯＳＩＴＩＶＥＡＮＤＮＥＧＡＴＩＶＥＣＯＥＦＦＩＣＩＥＮＴＳ￥...     

ON THE GLOBAL ATTRACTIVITY FOR A NEUTRAL DIFFERENCE EQUATION WITH TWO DELAYS

ＯＮ　ＴＨＥ　ＧＬＯＢＡＬ　ＡＴＴＲＡＣＴＩＶＩＴＹ　ＦＯＲ　Ａ　ＮＥＵＴＲＡＬ　ＤＩＦＦＥＲＥＮＣＥ　ＥＱＵＡＴＩＯＮ　ＷＩＴＨ　ＴＷＯ　ＤＥＬＡＹＳＯＮＴＨＥＧＬＯＢＡＬＡＴＴＲＡＣＴＩＶＩＴＹＦＯＲＡＮＥＵＴＲＡＬＤＩＦＦＥＲＥＮＣＥＥＱＵＡＴ...     

INITIAL BOUNDARY VALUE PROBLEMS FOR PARABOLIC EQUATIONS IN LIPSCHITZ CYLINDERS

ＩＮＩＴＩＡＬ ＢＯＵＮＤＡＲＹ ＶＡＬＵＥ ＰＲＯＢＬＥＭＳ ＦＯＲ ＰＡＲＡＢＯＬＩＣ ＥＱＵＡＴＩＯＮＳ ＩＮ ＬＩＰＳＣＨＩＴＺ ＣＹＬＩＮＤＥＲＳ ￥ＧＡＯＷＥＮＪＩＥＡｂｓｔｒａｃｔ：Ｔｈｅｉｎｉｔｉａｌ－Ｄｉｒｉｃｈｌｅｔａｎｄｉｎｉｔ...     

STABILITY OF GLOBAL GEVREY SOLUTION TO WEAKLY HYPERBOLIC EQUATIONS

ＳＴＡＢＩＬＩＴＹＯＦＧＬＯＢＡＬＧＥＶＲＥＹＳＯＬＵＴＩＯＮＴＯＷＥＡＫＬＹＨＹＰＥＲＢＯＬＩＣＥＱＵＡＴＩＯＮＳＭ．ＲＥＩＳＳＩＧＫ．ＹＡＧＤＪＩＡＮＭａｎｕｓｃｒｉｐｔｒｅｃｅｉｖｅｄＮｏｖｅｍｂｅｒ１４，１９９４．ＦａｃｕｌｔｙｏｆＭ...     

ADMISSIBILITY OF LINEAR ESTIMATE OF REGRESSION COEFFICIENTS IN GROWTH CURVE MODEL UNDER MATRIX LOSS

ＡＤＭＩＳＳＩＢＩＬＩＴＹＯＦＬＩＮＥＡＲＥＳＴＩＭＡＴＥＯＦＲＥＧＲＥＳＳＩＯＮＣＯＥＦＦＩＣＩＥＮＴＳＩＮＧＲＯＷＴＨＣＵＲＶＥＭＯＤＥＬＵＮＤＥＲＭＡＴＲＩＸＬＯＳＳＷＡＮＧＸＵＥＲＥＮ（王学仁）（ＤｅｐａｒｔｍｅｎｔｏｆＳｔａｔｉｓｔｉｃｓ，...     

UNIQUENESS AND ITERATIVE METHOD OF POSITIVE RADIALLY SYMMETRIC SOLUTIONS FOR SINGULAR ELLIPTIC EQUATIONS

ＵＮＩＱＵＥＮＥＳＳＡＮＤＩＴＥＲＡＴＩＶＥＭＥＴＨＯＤＯＦＰＯＳＩＴＩＶＥＲＡＤＩＡＬＬＹＳＹＭＭＥＴＲＩＣＳＯＬＵＴＩＯＮＳＦＯＲＳＩＮＧＵＬＡＲＥＬＬＩＰＴＩＣＥＱＵＡＴＩＯＮＳ￥ＺｈａｏＺｅｎｇｑｉｎ（赵增勤）（ＱｕｆｕＮｏｒｍａｌＵｎｉｖｅ...     

关于乘法逆特征值问题有解的充分条件

1．引言本文讨论如下乘法逆特征值问题[1]有解的充分条件．问题MR．给定nxn实矩阵A—（a＊和n个实数人l，…，An，求实对角矩阵X一山x以xl，…，1＊使得＊A的特征值为人，…，入．关于此问题可解的充分条件，deOliveira［2］，何旭初和戴华［31等给出过一些结果，但由于都是把此问题作为一般代数特征值反问题的特例来处理，没有注意到乘法问题的独特性，因而得到的可解条件比较强．本文根据乘法问题的特点，运用［31，［4］中的技术及拓扑度理论给出一些新的条件，这些条件大大改进了［2，3，5］中的结果．2．主要结果首先弓l进几个记号…     

加法与乘法逆特征值问题的可解性

1.引言 本文讨论如下代数特征值反问题可解的充分条件: 问题A(加法逆特征值问题)。给定一Hermite矩阵A=(a_(ij))_(n×n)及n个实数λ_1,…,λ_n,求一实对角阵D=diag(c_1…,c_n),使得A+D的特征值为λ_1,…,λ_n。 问题M(乘法逆特征值问题)。给定一正定Hermite矩阵A=(a_(ij))_(n×n)和n个正实数     

THE SUFFICIENT CONDITIONS FOR SOLVABILITY OF ALGEBRAIC INVERSE EIGENVALUE PROBLEMS

Applying constructed homotopy and its properties,we gel some sufficient conditions for the solvability of algebraic inverse eigenvalue problems,which are better than that of the paper [4] in some cases. Inverse eigenvalue problems,solvability,sufficient conditions.     

高阶非线性中立型方程正解的渐近性及存在性

本文利用非线性分析中半序方法和增算子不动点定理，对高阶非线性中立型方程正解的渐近性进行了详细分类，并且给出了各种类型正解存在的充要条件和具体例子．     

ON THE CONVERGENCE OF PADE-TYPE APPROXIMANTS IN TWO VARIABLES

In [1], C. Brezinski raised three unsolved questions in studing multivariable Pade-iype approximation, and the convergence of multivariable Pade-iype approximants under the general conditions is one of them. We have only seen in [2] that the convergence of the mullivariable Fade-type approximants is discussed for a kind of functions defined by Stieltjes integrations under some special conditions. However, the general convergence theorem has not been seen so far. In this paper, some error formulae of bivariate Fade-type approximants in in-legral form are given. By virtue of them, a number of convergence theorems of bivariate Pade-iype approximants are proved under general conditions.     

ON THE NECESSARY AND SUFFICI ENT CONDITIONS OF THE CONTINUITY OF M-P INVERSES A_x~+

Some necessary and sufficient conditions of the oontinuity of A_x~+ are given in [1] In this paper, some advances on the base and the condition of the oontinuity of A_~+ for Semi-Fredholm operators A_x are presented.     

THE NON-DIFFERENTIABILITY OF A CLASS OFFRACTAL INTERPOLATION FUNCTIONS

1Intr0ducti0nInrecentyears,thestudyofnowl1eredifferelltiablecontinu0usfuncti0nsl1asinterestedanuIDber0fInahematicians.One0fthefamusexamPlesistheWeierstrassfuncti0nI2'3],sofarthefuntinnswithWeierstrasstypel1avebeenstillstudiedandanumberofresultshavebeenobtained.Anartiveaspectinthestudiesofnowheredtherentiablecontilluousfunctionsisiteratedthectfousy8tems(IFS).Altlioughthetheoryofiterati0ndatesbacktoD0eblin,F0rtet'sw0rkl4]andtoDubins,Freedman'swork[5]litisHutchinson'swork[6]thatlaysthefound…     

一类非单调算法的收敛性质

1.搜索步长和搜索方向对于无约束最优化问题(?)f(x),其中f:R~n→R~1,f∈C~1,一般采用形如x_(k+1)=x_k+λ_kd_k(k=1,2,…)的迭代算法来求解,这里λ_k为搜索步长,d_k为搜索方向.     

双边截断情形下QH 统计量的渐近分布

ＣｈｅｎＬａｎｄＳｈａｐｉｒｏＳＳ［１］提出如下检验正态性的统计量其中,Ｘ１ｎ,Ｘ２ｎ,…,Ｘｎｎ为容量为n的样本的次序统计量,Ｈ为标准正态分布函数的逆函数．本文在一定的条件下得到了双边截断情形下ＱＨ统计量的渐近分布．     

SOME REMARKS ON THE NULL CONDITION FOR NONLINEAR ELASTODYNAMIC SYSTEM

The author derives the same null condition as in[1]for the nonlinear elastodynamic systemin a simpler way and proves the equivalence of the null conditions introduced in[1]and[7]respectively.