多元样本定理及混淆误差的估计

本文证明了多元指数型整函数的一个Ｍａｒｃｉｎｋｉｅｗｉｃａ型不等式，并由此证得了多元Ｗｈｉｔｔａｋｅｒ－Ｋｏｔｅｌｎｉｋｏｖ－Ｓｈａｎｎｏｎ型的样本定理，从而得到了多元Ｓｏｂｏｌｅｖ类上的混淆误差界的阶的精确估计。     

ON THE CENTRAL LIMIT THEOREM IN PRODUCT SPACES

ＯＮＴＨＥＣＥＮＴＲＡＬＬＩＭＩＴＴＨＥＯＲＥＭＩＮＰＲＯＤＵＣＴＳＰＡＣＥＳＳＵＺＨＯＮＧＧＥＮＡｂｓｔｒａｃｔ：ＳｕｐｐｏｓｅｔｈａｔＥａｎｄＦａｒｅｓｅｐａｒａｂｌｅＢａｎａｃｈｓｐａｃｅｓ，ＸａｎｄＹａｒｅｉｎｄｅｐｅｎｄｅｎｔｓｙｍｍｅｔｒ...     

双解析函数的Schwarz问题

该文提出了双解析函数的Ｓｃｈｗａｒｚ问题,并给出了它的存在性定理及唯一性定理．     

一个无穷矩阵收敛定理及其应用

本文在最一般情况下获得了一个无穷矩阵收敛定理．作为应用，我们研究了求和理论中著名的Ｓｃｈｕｒ求和法，并且也改进了Ｓｔｉｌｅｓ型Ｏｒｌｉｃｚ Ｐｅｔｉｓ定理．     

On a Generalization of Some Restrictive Distribution Theorems

ＯｎａＧｅｎｅｒａｌｉｚａｔｉｏｎｏｆＳｏｍｅＲｅｓｔｒｉｃｔｉｖｅＤｉｓｔｒｉｂｕｔｉｏｎ　ＴｈｅｏｒｅｍｓＴｉａｎＺｈｅｎ（田震）；ＺｈａｎｇＳｏｎｇ（张松）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＨｅｎａｎＵｎｉｖｅｒｓｉｔｙ）（Ｎａ...     

P—adic超越连分数

本文借助于Ｔｈｕｅ－Ｓｉｅｇｅｌ－Ｒｏｔｈ定理的Ｐ－ａｄｉｃ类似，Ｐ－ａｄｉｃ代数数的有理逼近定理以及Ｐ－ａｄｉｃ简单连分数的一些性质给出了Ｐ－ａｄｉｃ数是超越数的两个充分条件。     

Is the Polar Relative Monodromy of Finite Order？ An Example

ＩｓｔｈｅＰｏｌａｒＲｅｌａｔｉｖｅＭｏｎｏｄｒｏｍｙｏｆＦｉｎｉｔｅＯｒｄｅｒ？ＡｎＥｘａｍｐｌｅ￥ＤｉｒｋＳＩＥＲＳＭＡ（ＭａｔｈｅｍａｔｉｓｃｈＩｎｓｔｉｔｕｕｔ，ＵｎｉｖｅｒｓｉｔｅｉｔＵｔｒｅｃｈｔ，Ｐ．Ｏ．Ｂｏｘ８０．０１０，３５０８ＴＡ...     

ANTI-SADDLES OF A POLYNOMIAL SYSTEM

ＡＮＴＩ－ＳＡＤＤＬＥＳＯＦＡＰＯＬＹＮＯＭＩＡＬＳＹＳＴＥＭ￥ＹＥＹＡＮＱＩＡＮ（ＤｅｐａｒｔｍｅｌｌｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＮａｍｉｎｇＵｎｉｖｅｒｓｉｔｙ，Ｎａｍｉｎｇ２１０００８，Ｃｈｉｎａ．）（Ｐｒｏｊｅｃｔｓｕｐｐｏｒｔｅｄｂｙｔｈ...     

一类R^2上奇异非线性多重调和方程的正整解

以Ｓｃｈａｕｄｅｒ－Ｔｙｃｈｏｎｏｆｆ不动点定理为工具,建立了一类平面上奇异非线性多重调和方程正的径向对称整体解的存在性定理,并给出了解的有关性质。     

一类非线性泛函边值问题的可解性

本文考虑非线性泛函边值问题，利用Ｂｏｒｓｕｋ定理与Ｌｅｒａｙ－Ｓｃｈａｕｄｅｒ不动点定理，得到了上述边值问题的若干可解性结果。     

Characterization of types of asymptotic discernibility of families of hypotheses

We give a characterization of the types of asymptotic discernibility of families of hypotheses in the case of hypothetical measures that are not, in general, mutually absolutely continuous. The case when the logarithm of the likelihood ratio admits an asymptotic expansion of the type of an expansion with local asymptotic normality is examined in detail. Examples are studied.Translated fromTeoriya Sluchainykh Protsessov, Vol. 15, pp. 64–71, 1987.     

Study of the blow-up of solutions of systems of equations of hydrodynamic type

Mathematical Notes - We study the initial boundary-value problem for three-dimensional systems of equations of pseudoparabolic type. The system is similar to the Oskolkov system, but differs from...     

Distribution of types of symmetry of tensors of high degree

The asymptotic distribution of tensors of degree N in symmetry types is studied in this paper.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 155, pp. 181–186, 1986.     

Singularities of Solutions of One Class of Equations of Continuum Mechanics

We analyze one class of families of integral equations and describe the dependence of the singularities of solutions of integral equations on the dimensions of the families of kernels of equations. On the basis of these results, we propose procedures for the construction of approximate solutions for a small parameter.     

Determination of asymptotic solutions of problems of nonlinear theories of thermoviscoelasticity

It is shown that the asymptotic solution of a problem of the nonlinear theory of thermoviscoelasticity, if it exists, can be found directly from the solution of the asymptotic boundary-value problem without completely solving the starting problem.M. V. Lomonosov Moscow State University. Translated from Mekhanika Polimerov, No. 3, pp. 395–400, May–June, 1976.     

Emptiness of set of points of lower semicontinuity of Lyapunov exponents

We consider parametric families of differential systems with coefficients that are bounded and continuous on the half-line and uniformly in time continuously depend on a real parameter. For each Lyapunov exponent, we construct a family such that the Lyapunov exponent of its systems treated as a function of the parameter is not a lower semicontinuous function for any value of the parameter.     

图表示范畴的两个子范畴

引进图表示范畴的两个子范畴,研究它们的同调性质。