共查询到20条相似文献,搜索用时 46 毫秒
1.
KubotaYoto 《数学研究》1994,27(1):83-85
We give a necessary and sufficient condition for an abstract integration (Definition 1) to be the general Denjoy integral (D-integral). This is a revised version of the author‘ s paper[2]. 相似文献
2.
NakanishiShizu 《数学研究》1994,27(1):133-141
This paper shows that Henstock‘s Lemma holds for functions with values in a countably Hilbert space, where the Henstock integral is defined as a natural extension of the resl valued case. 相似文献
3.
王传荣 《数学物理学报(B辑英文版)》2005,25(2):376-384
This paper discussses the random singular integral of random process with second order moment, establishes the concepts of the random singular integral and proves that it‘s a linear bounded operator of space H^α(L)(rn, s). Then Plemelj formula and some other properties for random singular integral are proved. 相似文献
4.
MilagrosPNavarro PollyWSy 《数学研究》1994,27(1):142-147
A continuous linear functional on some function space can be represented by an integral which in its usual form is linear. In this paper, we give an integral representation of a nonlinear operator on the space C=C([0,1],X) of continuous functions on [0,1] with values in a Banach space X. This is done by means of a nonlinear integral using a kernel type function. 相似文献
5.
ChewTuan-Seng LeePeng-Yee 《数学研究》1994,27(1):60-65
We introduce the Henstook-Wiener integral and prove that it is a generalization of the classical Wiener integral. 相似文献
6.
WuCongxin YaoXiaobo 《数学研究》1994,27(1):32-36
We define the strong McShane integral and prove its equivalence with the Bochner integral In other words,we have given a Riemann-type definition of the Bochner integral. 相似文献
7.
Chen Jiecheng Zhu Xiangrong 《高校应用数学学报(英文版)》2005,20(3):316-322
Given a positive Radon measure μ on R^d satisfying the linear growth condition μ(B(x,r))≤C0r^n,x∈R^d,r〉0,(1) where n is a fixed number and O〈n≤d. When d-1〈n,it is proved that if Tt,N1=0,then the corresponding maximal Calderon-Zygmund singular integral is bounded from RBMO to itself only except that it is infinite μ-a. e. on R^d. 相似文献
8.
含有三角函数的一个积分公式 总被引:2,自引:0,他引:2
定理:设f(x)在La,a十ZT〕上可积(T>0)甲(x)在〔a,a十T〕上可积,且满足条件:了(Za+一{f(t)己‘+2,一)一,(二)+,(二),贝。有{f(二)‘:- O}T{叫‘)dr{:‘T,“’“’证明:J了(·)‘一{:‘’,(·)‘·十{口+2个f(x)‘:.在右端第二个积分中,令‘=2a+ZT一‘,‘任〔a,a+TJ一则当:二a+T时,t=a+T;二二a+2少时,t=a;又由条件:f(2。+ZT一t)=一f(t)+p(t),因此{:‘’r了(·)‘一{:‘r,‘·,‘二 实用中验证函数满足条件f(Za+ZT一劝二一f(x)+中(x)井不困难,因为我们总可取p(x)二f(Za+ZT一:)+f仁).问题在于甲(:)是否容易积分.而当甲(:)为零,常数或… 相似文献
9.
Based on the data obtained from a survey recently made in Shanghai, this paper presents the hybrid technique for risk analysis and evaluation of some diseases. After determination of main risk factors of these diseases by analysis of variance, the authors introduce a new concept ‘Illness Fuzzy Set‘ and use fuzzy comprehensive evaluation to evaluate the risk of suffering from a disease for residents. Optimal technique is used to determinethe weights wi in fuzzy comprehensive evaluation, and a new method ‘Improved Information Distribution‘ is also introduced for the treatment of small sample problem. It is shown that the results obtained by using the hybrid technique are better than by using single fuzzy technique or single statistical method. 相似文献
10.
HeTianxiao LeetsehC.Hsu PeterJ.S.Shiue 《分析论及其应用》2003,19(2):166-184
In this paper a connective study of Gould‘s annihilation coefficients and Abel-Gontscharoff polynomials is presented. It is shown that Gould‘s annihilation coefficients and Abel-Gontscharoff polynomials are actually equivalent to each other under certain linear substitutions for the variables. Moreover, a pair of related expansion formulas involving Gontscharoff‘s remainder and a new form of it are demonstrated, and also illustrated with several examples. 相似文献
11.
Zhang Yan Li Cuiping 《Annals of Differential Equations》2006,22(4):602-610
In this paper, we study a class of complete Abelian integral. We give an exact number and the upper bound of the number of zero points of the integral under some conditions. 相似文献
12.
BOUNDEDNESS OF GENERALIZED FRACTIONAL INTEGRAL OPERATORS 总被引:3,自引:0,他引:3
TangCanqin YangDachun 《逼近论及其应用》2002,18(4):38-54
The authors introduce a new kind of fractional integral operators,namely,the so called (θ,N)-type fractional integral operators,and discuss their boundedness on the Hardy spaces,the weak Hardy spaces and the Herz-type Hardy spaces. 相似文献
13.
路见可 《数学物理学报(B辑英文版)》2004,24(3):507-512
The solutions of the nonlinear singular integral equation ψo(t)2 2b/πi ∫L ψ(τ)/T-t dr =f(t), t ∈ L, are considered, where L is a closed contour in the complex plane, b ≠- 0 is a constant and f(t) is a polynomial. It is an extension of the results obtained in [1] when f(t) is a constant. Certain special cases are illustrated. 相似文献
14.
LeePengYee 《数学研究》1994,27(1):5-8
Classical integration theory as Presented by Saks contains basically one proof, namely, the proof by category argument (see,for example,[‘4 ;p, 253] or [1;p, 47]). A key step in the proof is the use of Harnack extension for the Henstock inregral. In this note,we shall reformulate the Harnack extension so that it is real-line independent. 相似文献
15.
WeiLi Peng-chengXu 《应用数学学报(英文版)》2003,19(4):677-690
The existence of Silnikov‘s orbits in a four-dimensional dynamical system is discussed. The existence of Silnikov‘s orbit resulting in chaotic dynamics is established by the fiber structure of invariant manifold and high-dimensional Melnikov method. Numerical simulations are given to demonstrate the theoretical analysis. 相似文献
16.
SINGULAR INTEGRAL EQUATIONS WITH COSECANT KERNEL IN SOLUTIONS WITH SINGULARITIES OF ORDER ONE 总被引:1,自引:0,他引:1
In this article, periodic Riemann boundary value problem with period 2aπalong closed smooth contours is discussed, and then singular integral equation with kernel csc t-t0/a along closed smooth contours restricted in the strip 0< Rez相似文献
17.
In this article, by introducing characteristic singular integral operator and associate singular integral equations (SIEs), the authors discuss the direct method of solution for a class of singular integral equations with certain analytic inputs. They obtain both the conditions of solvability and the solutions in closed form. It is noteworthy that the method is different from the classical one that is due to Lu. 相似文献
18.
Wu Jun 《Annals of Differential Equations》2006,22(4):589-595
In this paper, by applying Avery-Henderson fixed point theorem in a cone, we establish some new existence results of two positive periodic solutions for a type of nonlinear integral equations with variant delay. 相似文献
19.
A continuous map f from the unit closed interval into itself is called a p-order Feigenbaum‘s map if f^P(λx)=λf(x), f(0)=1 and f|λ,1| is univallecular. In this paper, some characterizations of p order Feigenbaum‘s maps are discussed and the existence for both types of such maps is proven. 相似文献
20.
L^p(R^n)boundedness is considered for the higher-dimensional Marcinkiewicz integral which was introduced by Stein.Some conditions implying the L^p(R^n) boundedness for the Marcinkiewicz integral are obtained. 相似文献