数学物理学报(英文版)

Select

ON THE CLASS H₁^*

夏明远, 刘钢

数学物理学报(英文版). 1995 (4): 361-369.

摘要 ( 64 )

RICH HTML

PDF(419KB) ( 33 )

An infinite family of H₁ is obtained, that is,H₁(ν)≠∅ for υ ∈ N=N₁ ∪ N₂ ∪ N₃ where
N₁={5,13,17,25,37,41,61},N₂{υ=3^2r(p₁^r…p_x^r)⁴:p₁≡3(mod 4)prime,p₁>3,r,r₁≥0，i=1,2,…,n;n=1,2,…}，N₃={υ₁υ₂:υ₁∈N₁ and υ₂∈N₂}. Using H₁(υ),we give 2-(2υ;k₁,k₂;k₁ + k₂ -υ} supplementary difference sets with υ=(k₁-υ)² + (k₂-υ)². Finally. we prove that if there exists an orthogonal design OD(4t;t,t,t,t) and H₁(υ) ≠∅ then a Hadamard matrix of order 4tυ can be constructed.

相关文章 | 计量指标

Select

PERIODIC ORBITS IN PERTURBED GENERALIZED HAMILTONIAN SYSTEMS

赵晓华, 李继彬, 黄克累

数学物理学报(英文版). 1995 (4): 370-384.

摘要 ( 87 )

RICH HTML

PDF(831KB) ( 31 )

In this paper, we develop a global perturbation technique for the study of periodic orbits in three-dimensional, time dependent and independent, perturbations of generalized Hamiltonian differential equations defined on three-dimensional Poisson manifolds. We give existence, stability and bifurcation theorems and illustrate our results with a truncated spectral model of the forced, dissipative quasi-geostrophic flow on a cyclic β-plane.

相关文章 | 计量指标

Select

α-CARLESON MEASURE AND BLOCH FUNCTIONS ON BOUNDED SYMMETRIC DOMAINS OF Cⁿ

欧阳才衡

数学物理学报(英文版). 1995 (4): 385-393.

摘要 ( 73 )

RICH HTML

PDF(449KB) ( 30 )

In this paper we define α-Carleson measure in the Bergman metric on bounded symmetric domains. Some necessary and sufficient conditions about it and Bloch functions on the domains are given.

相关文章 | 计量指标

Select

SMALL PERTURBATION CRAMER METHODS AND MODERATE DEVIATIONS FOR MARKOV PROCESSES

高付清

数学物理学报(英文版). 1995 (4): 394-405.

摘要 ( 82 )

RICH HTML

PDF(606KB) ( 27 )

This paper presents a small perturbation Cramer method for obtaining the large deviation principle of a family of measures {μ₂,ε> 0} on a topological vector space. As an application, we obtain the moderate deviation estimations for uniformly ergodic Markov processes.

相关文章 | 计量指标

Select

GLOBAL EXISTENCE FOR A PARTICULAR INHOMOGENEOUS CONVECTION DIFFUSION SYSTEM

朱长江, 赵会江

数学物理学报(英文版). 1995 (4): 406-414.

摘要 ( 55 )

RICH HTML

PDF(417KB) ( 36 )

This paper considers the Cauchy problem of the following convection diffusion system
（_v^u）_t+(1)/2(_bu²+2uv^{au²+2buv+v²})_x+（_g（u,v）^f(u,v)）=ε(_v^u)_xx, with initial data
（_v^u）|_t=0=(_v₀(x)^u₀(x)). A global existence result is established by employing the techniques of F. B. Weissler and the energy method. Here a,b,ε > 0 are constants.

相关文章 | 计量指标

Select

EXACT-VOLUME DIFFERENTIAL FORM DE RHAM COHOMOLOGY AND HAMILTON VARIATIONAL PRINCIPLE

王继春

数学物理学报(英文版). 1995 (4): 415-421.

摘要 ( 84 )

RICH HTML

PDF(374KB) ( 34 )

In this paper, we suggested exact-volume differential form (for short:EVDF) and proved four theorems correlative with them:1. existence theorem, 2. cohomology theorem,3. constant multiple theorem, and 4. equal gauge theorem. And their application were discussed also. For examlpe, we deduced the particle dynamic equation of the special theory of relativity. At the same time we analyzed and contrasted cohomology theory with Hamilton's variational principle. The contrast showed the superiority of cohomology theory. Moreover,we gave a more complete classification list of differential forms.

相关文章 | 计量指标

Select

DECOMPOSITION FOR BERS-ORLICZ SPACES

赵如汉

数学物理学报(英文版). 1995 (4): 422-430.

摘要 ( 47 )

RICH HTML

PDF(468KB) ( 37 )

In this paper some decomposition theorems for classical weighted Orlicz spaces and Bers-Orlicz spaces are established. As applications of these decomposition theorems some estimates about the growth of the Taylor coefficients of the functions in airs-Orlicz spaces are given.

相关文章 | 计量指标

Select

SINGULAR SOLUTIONS FOR A CONVECTION DIFFUSION EQUATION WITH ABSORPTION

赵俊宁

数学物理学报(英文版). 1995 (4): 431-441.

摘要 ( 68 )

RICH HTML

PDF(533KB) ( 37 )

In this paper we discuss the ekistence and nonexistence of singular solutions for a porous medium equations with convectioll and absorption terms.

相关文章 | 计量指标

Select

THE UNIQUENESS AND CONTINUOUS DEPENDENCE FOR CHARACTERISTIC CAUCHY PROBLEM OF PARTIAL DIFFERENTIAL EQUATIONS

栾文贵, 刘伟霞

数学物理学报(英文版). 1995 (4): 442-457.

摘要 ( 91 )

RICH HTML

PDF(827KB) ( 31 )

In this paper, we investigate the connection between the uniqueness and the continuous dependence for the Cauchy problem of linear partial differential equations with everywhere characteristic initial hypersurface. The local Carleman's estimate used by S. Alinhac and M. S. Baouendi to prove the uniqueness for the characteristic Cauchy problem is improved to the global estimate with a specific peaking weight factor. Using this estimate, we can prove similarly the uniqueness of the characteristic Cauchy problem. In particular, we derive also the continuous dependence for the solution of this problem in the function class that a certain norm is bounded by the aid of the same inference of proving the global estimate.

相关文章 | 计量指标

Select

APPROXIMATION OF GENERALIZED BI-AXIALLY SYMMETRIC POTENTIALS WITH FAST RATES OF GROWTH

H. S. Kasana, D. Kumar

数学物理学报(英文版). 1995 (4): 458-467.

摘要 ( 83 )

RICH HTML

PDF(506KB) ( 31 )

The paper deals with growth and approximation of solutions (not necessarily entire) of certain elliptic partial differential equations. These solutions are called Generalized Bi-axially Symmetric Potentials (GBSP's). The GBSP's are taken to be regular in a finite hyperball and influence of the growth of their maximum moduli on the rate of decay of their approximation errors in sup norm is studied. The authors obtain the characterizations of the q-type and lower q-type of a GBSP H ∈ H_R,0 < R < ∞, in terms of rate of decay of approximation error E_n(H,R₀), 0 < R₀ <R <∞.

相关文章 | 计量指标

Select

MEAN VALUE OF ANALYTIC OPERATOR FUNCTIONS

喻小培, 蹇明

数学物理学报(英文版). 1995 (4): 468-473.

摘要 ( 61 )

RICH HTML

PDF(301KB) ( 35 )

In this paper,it is proved that if A is a normal proper contraction on Hilbert space H and F(z)=U(z)+iV(z) is operator-valued analytic on the unit disc △ and 0 < p < 1,then||F(A)||^p ≤ ||F(0)||^p+C_p(1-||A||)^-2× sup_{0 < t < 1}∬_△||U[(At-εI)(I-εA·t)^-1]||^pdm(ε).

相关文章 | 计量指标

Select

ON SOME EXTREMAL PROPERTIES OF ALGEBRAIC POLYNOMIALS

谢四清

数学物理学报(英文版). 1995 (4): 474-476.

摘要 ( 73 )

RICH HTML

PDF(152KB) ( 34 )

Let P_n be an algebraic polynomial of degree n with real coefficients. We study the extremal properties of the integral ∫_-1¹(P"_n(x)）²dx and ∫_-1¹(1-x²)(P"_n(x)²dx subject to the constraint max_-1≤x≤1|P_n(x)|≤1.

相关文章 | 计量指标

当期目录