共查询到20条相似文献,搜索用时 46 毫秒
1.
该文在引入修正的Cauchy核的基础上,讨论了Clifford 分析中无界域上正则函数带 Haseman 位移的边值问题. 首先给出了无界域上Cauchy 型积分的Plemelj公式,再利用积分方程方法和压缩不动点定理证明了问题解的存在唯一性. 相似文献
2.
鄢盛勇 《数学的实践与认识》2017,(4):175-180
讨论了四元数分析中无界域上正则函数的一类带位移非线性边值问题.利用积分方程方法和Schauder不动点理论证明了问题解的存在性,并给出了解的积分表达式. 相似文献
3.
对 Cn中具光滑边界Ω的有界域 D和属于指数α( 0 <α <1 )的 Lipschitz空间 Lip(α,Ω )中的每个函数φ,我们不仅证明了 Bochner- Martinelli型积分Φ ( z) =∫Ωφ(ζ) K(ζ,z)(其中 K(ζ,z)为 Bochner- Martinelli型积分核 )表示的内、外极限值Φ +( t) ,Φ - ( t)属于 Lip(β,Ω ) ( 0 <β <α <1 )而且可分别延拓成 D和 Dc上的指数为β的 Holder连续函数 ,并由此给出了 Bochner- Martinelli变换的 Plemelj跳跃公式 . 相似文献
4.
《中国科学:数学》2020,(6)
关于微分方程的拓扑等价以及拓扑等价函数的正则性一直是微分方程研究的焦点之一.当非线性项有界时,已经有很多学者证明了微分方程的拓扑等价函数是H?lder正则的.然而,当非线性项无界时,拓扑等价的正则性尚无突破性结果.在无界情形下, Zou和Shi(2017)得到了拓扑线性化的条件.除Zou和Shi(2017)给出的条件外,在附加的一个前提下,本文证明拓扑等价函数的H?lder正则性.事实上,当系统是有界时,系统线性化的条件足以保证其H?lder正则性.但是,当系统是无界时,这个附加条件是必不可少的.本文举例说明这个事实.这是首篇考虑无界系统拓扑等价H?lder正则的文章. 相似文献
5.
6.
针对反问题中出现的第一类算子方程Au=f,其中A是实Hilbert空间H上的一个无界线性算子利用动力系统方法和正则化方法,求解上述问题的正则化问题的解:u'(t)=-A~*(Au(t)-f)利用线性算子半群理论可以得到上述正则化问题的解的半群表示,并证明了当t→∞时,所得的正则化解收敛于原问题的解. 相似文献
7.
《数学的实践与认识》2018,(19)
定义了无界域上Isotonic函数的Cauchy型积分和Cauchy主值积分,考虑了其边界性质,得到了无界域上Isotonic函数的Plemelj公式. 相似文献
8.
9.
10.
本文中处处假设(E,(?),Δ)是(?)完备的 Menger 空间,t-范数Δ满足(?)Δ(t,t)=1。定义1 设Φ(t)是[0,∞)上的函数,我们称Φ(t)满足条件(Φ_1),如果Φ(t)不减、Φ(0)=0,且(?)Φ~n(t)=∞,(?)t>0;称Φ(t)满足条件(Φ_2),如果Φ(t)严格增、左连续、Φ(0)=0,且(?)Φ~n(t)=∞,(?)t>0,其中Φ~n(t)是Φ(t)的第 n 次迭代。 相似文献
11.
12.
《数学学报(英文版)》2014,(10)
<正>Submission Authors must use LaTeX for typewriting,and visit our website www.actamath.com to submit your paper.Our address is Editorial Office of Acta Mathematica Sinica,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,P.R.China. 相似文献
13.
《运筹学学报》2014,(3)
正August 10-14,2015Beijin,China The International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists 相似文献
14.
15.
ZhouSongping YaoKui SuWeiyi 《分析论及其应用》2004,20(4):332-341
The present paper investigates the fractal structure of fractional integrals of Weierstrass functions. The ezact box dimension for such functions many important cases is established. We need to point out that, although the result itself achieved in the present paper is interesting, the new technique and method should be emphasized. These novel ideas might be useful to establish the box dimension or Hausdorff dimension (especially for the lower bounds) for more general groups of functions. 相似文献
16.
《应用数学学报(英文版)》2014,(4)
正1 Aims and Scope Acta Mathematicae Applicatae Sinica(English Series)is a quarterly journal established by the Chinese Mathematical Society.The journal publishes high quality research papers from all branches of applied mathematics,particularly welcomes those from partial differential equations,computational mathematics,applied probability,mathematical finance,statistics,dynamical systems,optimization and management science. 相似文献
17.
18.
We characterize congruence lattices of standard QBCC-algebras and their connection with the congruence lattices of congruence
kernels.
Work on the paper was supported by Council of Czech Government No J14/98:153100011. 相似文献
19.
A new class of sets in ideal topological spaces is introduced and using these sets, a decomposition of continuity is given.
相似文献
20.
We obtain (a) necessary and sufficient conditions and (b) sufficient conditions for a compact (countably compact) set to be closed in products (sequential products) and subspaces (sequential subspaces) of normal spaces. As a consequence of these, sufficient conditions are obtained for (i) the closedness of arbitrary (countable) union of closed sets and (ii) the equality of the union of the closures and the closure of the union of arbitrary (countable) families of sets in these spaces. It is also shown that these results do not hold for quotients of even T
4,-spaces. 相似文献