共查询到20条相似文献,搜索用时 15 毫秒
1.
In this paper the authors introduce some new ideas on generalized numbers and generalized weak functions. They prove that the product of any two weak functions is a generalized weak function. So in particular they solve the problem of the multiplication of two generalized functions. 相似文献
2.
In the present paper, we derive some third-order differential subordination results for analytic functions in the open unit disk, using the operator Bcκf by means of normalized form of the generalized Bessel functions of the first kind, which is defined as z(Bcκ+1f(z))′= κBcκf(z)-(κ- 1)Bcκ+1f(z),where b, c, p ∈ C and κ = p +(b + 1)/2 ∈ C \ Z-0(Z-0= {0,-1,-2, ··· }). The results are obtained by considering suitable classes of admissible functions. Various known or new special cases of our main results are also pointed out. 相似文献
3.
4.
张辉 《数学物理学报(B辑英文版)》2002,22(2)
11MroduCtlonIn this paper we will investigate the global exlstence ofwe欢 solutions to a de欧nerate辟nerajlzed Bur驴d equatllJll in the formut +(。侧。=t。。。,x E R‘,t>0(1.1)with the initial data刚,x)一。。卜 卜)(1.1)is not only a means to study hxPerbolic conser、nonl。s[1,2]but also the mathematicalmodel of*the*、 propapatlon offinlt。。plltude sound w。es in、i劝l。area ofduct(see[3;4]),where u is an roustlc vrable,with the linear effects of chang6s!n the duct area taken out;andt I… 相似文献
5.
6.
本文借助弱射影和弱透视的概念刻划了De Morgan代数的同余关系,由此得到了Kalman关于De Morgan代数次直不可约定理的一个新的证明并证明了一个完全分配的De Morgan代数的同余理想与同余关系一一对应的充要条件是L为弱可补的。 相似文献
7.
本文证明了Banach空间值鞅的一些不等式,讨论了Banach空间的凸性及光滑性与某些鞅不等的式的联系,给出了Hilbert空间的一个鞅不等式刻划,同时还讨论了一致P光滑空间中鞅的弱大数定律,本文的结论推广与改进了很多熟知的定理。 相似文献
8.
9.
本文主要研究了线性随机分数阶微分方程Euler方法的弱收敛性与弱稳定性.首先构造了数值求解线性随机分数阶微分方程的Euler方法,然后证明该方法是弱稳定的和α阶弱收敛的,文末给出的数值算例验证了所获得的理论结果的正确性. 相似文献
10.
PERTURBINGFAMILIESOFGENERALIZEDLYAPUNOV FUNCTIONSANDRELATIVESTABILITYINTERMSOFTWO MEASURESShangLijun(商立军)(TheFourthMilitaryMe... 相似文献
11.
关于凸逼近,共凸逼近的各种逼近阶的估计在近十多年来已引起了相当的重视和较多的研究,因为保形渐近的思想在实际问题中有着十分重要的意义。相比较而言,共凸逼近的的研究比凸逼近的情况要复杂,因此,不少关于凸逼近已得到解决的问题对于共凸逼近仍没有结果,关于共凸逼近,1984,Atacir,Sermin证明了。 相似文献
12.
本文引入弱Hopf量子Yang-Baxter模概念.利用弱Hopf模基本定理的方法,获得了弱Hopf量子Yang-Baxter模基本定理,进一步还得到了相关Hopf模基本定理. 相似文献
13.
本文将 Rosenberg 在文[1]中定义的单目标规划的镇定性、稳定性概念推广到多目标的情形,讨论多目标规划问题(VP)(?)f(x)s.t.g_k(x)≤0,k∈K_1,h_k(x)=0,k∈K_2的弱镇定性、弱稳定性、局部弱稳定性、一致局部弱稳定性,以及罚函数问题 相似文献
14.
对于一类非光滑函数--光滑函数的有限次极大值复合函数,给出了计算它在一点处Clarke广义梯度呈一个元素的新方法,与以往方法比较,本文的方法不需判别线性不等式组的相容性,因而易于实现。 相似文献
15.
0 IntroductionRecently, the study of ordinary differential equations in a Banach spacehas been developed extensively by using the strong topology, see [2],13],[4]. Atpresent, however, there is no reference or paper which systematically studiesweak solutions of the Cauchy problem of ordinary differential equation in theweak topology. In references [l],15],[7] and [8], several results of weak solutionsare proved. In this paper, we shall give the other results of weak solutions,some of which are… 相似文献
16.
In this article, we define a subclass of meromorphic multivalent Sakaguchi type functions and obtain certain sufficient conditions for functions to be in this class. The main result presented here includes a number of consequences as its special cases. 相似文献
17.
平方函数算子的弱1—1有界性 总被引:1,自引:0,他引:1
利用非紧一秩对称空间上热核的表达式和Stromberg定理,我们在本文中得到了这种空间上Littlewood-Paley平方函数算子的弱1-1有界性。 相似文献
18.
19.
本文讨论了Dirichlet型空间上的再生核,并对Dirichlet型空间上乘法算子,Hankel算子和小Hankel算子的基本性质进行了研究,同时也给出了这些算子的有界性,紧性和Schatten理想的初步刻画。 相似文献
20.
1 IntroductionLet fl be a boulided regular domain in n". By regUlar domain we understand any domainof finite measure for which tlie estli11ates fOr Hodge decomposition in (2.6) and (2.7) are justilied.See, fOr example, N, [7], [2]. A Lipscl1tiz dolllain, for example,is regular.We consider solutionsiL Of a quasi1inear second order equation:divA(x, Vu) = 0, (1.1)where A: fl x n" - n" satisfies the usua1 nreasuability conditions(Caratheodory conditions)and that fOr sonle 1 < p < x,the follo… 相似文献