共查询到20条相似文献,搜索用时 470 毫秒
1.
研究形如div A(x,u(x))=0的A-调和方程,证明其弱解满足局部Arλ3(λ1,λ2,Ω)-权Caccioppoli型不等式,这可看作A-调和方程相应结果的推广.最后给出上述结果在拟正则映射中的应用. 相似文献
2.
基于(λ,μ)-反模糊子群概念及其基本性质,深入刻画了(λ,μ)-反模糊子群以及(λ,μ)-反模糊正规子群的结构.首先讨论了群G的(λ,μ)-反模糊子群在G的不同元素上隶属度的分布情况,其次研究了(λ,μ)-反模糊正规子群在G的不同元素上隶属度的分布情况,最后对循环群和阿贝尔群上(λ,μ)-反模糊子群及正规子群的结构进行详细讨论并给出了相应的结果. 相似文献
3.
Sturm-Liouville算子的半逆问题讨论由一组谱和半区间上势函数唯一确定整个区间上势函数q(x).本文利用Koyunbakan和Panakhov的方法和[13]的结论,讨论(0,π)上的奇型Sturm-Liouville问题满足-y″+[q(x)-1/4sin2x]y=λy,参数边界条件y(0,λ)=0或y′(0,λ)-hy(0,λ)=0和y′(π,λ)+(aλ+b)y(π,λ)=0,证明一组谱和(π/2,π)上的势函数q(x)唯一确定(0,π)上的势函数q(x). 相似文献
4.
设A为复Banach空间X上的稠定闭算子.我们证明了若抽象柯西问题具有C-适定性,则{λ∈C:Reλ≥0) ρ(A)且存在C>0,使得任给λ∈C,Reλ≥0,都有(λ-A)-1≤C/1+ λ.因而A必为X上某一有界解析半群的无穷小生成元.对于定义在有限区间[0,T]上的抽象柯西问题,我们亦得到了类似的结果. 相似文献
5.
给定实数λ,α以及R上(以λ,α为参数)的压缩自相似映射S1(x)=λx, S2(x)= λx+a, S3(x)= λx+3,记满足测度方程v=(1/3)∑i=1voSi-1的唯一概率测度为uλ,α本文得到:(1)当固定 λ∈A E(1/3, 2/5)时,则在 Lebesgue测度意义下,对于 a.e.的 a∈(0,1),测度 uλ,α绝对连续,且存在平方可积密度.(2)若λ-1是 P.V.数,且 α是λ的有理系数多项式,则测度uλ,α是奇异测度. 相似文献
6.
介绍了利用微分从属关系定义的一类函数类v_k[p,A,B]和一类算子函数I_p~λ(μ,η)(z),在上述算子函数的基础上定义了两类积分算子函数F_(p,μ,η)~(n,λ)(z),G_(p,μ,η)~(n,λ)(z),利用微分从属和凸函数理论,得到了积分算子函数F_(p,μ,η)~(n,λ)(z),G_(p,μ,η)~(n,λ)(z)包含于函数类v_k[p,A,B]的条件,结论推广了部分已有的研究成果. 相似文献
7.
(∈,∈∨q_(λ,μ))-模糊子近环和理想 总被引:2,自引:0,他引:2
给出(∈,∈∨q_(λ,μ))-模糊子近环和理想的全新概念及刻画,并获得一些充分必要条件.其中值得指出的是当λ=0,μ=0.5时可以得到Davvaz文章中的相关结论[B.Davvaz, (∈,∈∨q)-fuzzy subnear-rings and ideals, soft comput.,2006,10:206-211]. 当λ=0,μ=1时可以得到Rosenfeld意义下的结论. 相似文献
8.
李春龙 《数学的实践与认识》2012,42(19)
设n≥2,n∈N,β>θ>0,a∈R_+~n,r∈R,M_r(a)为a的r次幂平均,将确定参数λ,使(G(a))~(1-λ)(Mβ(a))~λ≤M_θ(a)成立.此结果推广了一些已知结论. 相似文献
9.
Graham Kelly 《Discrete Mathematics》1982,39(2):153-160
We prove that if a residual design R has more than one embedding into a symmetric design then k ? λ(λ?1)2. If equality holds then R has exactly two embeddings and the corresponding derived design is in both cases λ ? 1 identical copies of the design of points and lines of PG(3, λ ? 1). Using the main proposition from which these results follow we also prove that if a symmetric2-(v,k, λ) design has an axial non-central or central non-axial automorphism then k?λ(λ2 ? 2λ + 2). 相似文献
10.
《数学季刊》2017,(2):142-151
In this paper we introduce a new general subclass n,g ∑ a,λ(A, B,α) of univalent func-tions related the known integral operator and differential operator. Some majorization re-sults for n,g ∑ a,λ(A, B, 1) as well as the other functions are given. Furthermore, we find the coefficients bounds on|a2|and|a3|for functions in?n,g ∑ a,λ(A1, B1, A2, B2,α1,α2), which is the bi-univalent functions defined by n,g ∑ a,λ(A, B,α) and subordination. By giving specific values of the parameters of our main results, several(known or new) consequences of main results are also discussed. 相似文献
11.
The inverse of a graph with the spectrum λ 1, λ 1, …λ n (λ 1≠0) is a graph with the spectrum 1/λ1,1/λ2,…,1/λ n ,.We present a purely graph-theoretic construction of the inverse ol a tree with a perfect matening. We apply this method for deriving results concerning the least nonnegative eigenvalue of a tree (called the dual index of a tree), including the best possible upper bound for the dual index of a tree in terms of a the number of its vertices. 相似文献
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13.
<正> §1.引言T.Onoyama 利用了 Weyl-Stone-Titchmarsh 的特征函数(Eigenfunction)展开公式,对具有二阶矩的实的连续机过程(本文中所用的极限,系指在均方意义下的极限)求得了下列隨机函数方程 相似文献
14.
Chris Cosner 《Applicable analysis》2013,92(1-2):101-109
We obtain estimates on the possible growth or decay rates as λ → 0 of sup |uλ|, where uλ ? O satisfies the nonlinear elliptic boundary value problen Luλ = λ f(x,uλ) in a bounded domain subject to homogensous Dirichlet boundary conditions. The estimates generalize existing results by allowing f(x,O) ≠ 0. The analysis is based on integration by parts and Sobolev inequalitie. 相似文献
15.
<正> 完备空间与完备矩阵环是Kothe.G.于1934年引入的,近年来由于在分析中最有用的一类线性拓扑空间——核空间的种种研究的影响,又给Kothe理论带来了许多新的进展,出现了大量文章.然而,至今为止还未见到有把完备矩阵环当作拓扑代数来加以探讨的工作,为此,我们准备着手对这样一类显然有其重要性的拓扑代数进行详细的讨论. 相似文献
16.
本文研究了分支特征为 ψ( x,λ) =γ( x) λ1 β( 0 <β≤ 1 )的超布朗运动 ,给出了这类超过程关于球内及球外区域的击中概率 相似文献
17.
设N是具有平方可积表示的幂零Lie群,是其Plancherel测度.本文将N上群Fourier变换矩阵化,并由此给出N上不定性原理的一种定量描述.此外,还对N上不定性原理的定性描述(简称QUP)作了讨论,结果显示出N上QUP与P(λ)的零点集之代数、几何性质的一些联系. 相似文献
18.
Thomas I Seidman 《Journal of Differential Equations》1985,56(2):216-228
This generalizes earlier results (T. I. Seidman, Indiana Univ. Math. J.30 (1981), 305–311) for ?Δu = λf(u). For the family of equations (su1) Au = g(u, λ) with appropriate boundary conditions the object is to construct from g and the boundary conditions a function η(λ, r) such that a bound y(λ) on ∥u∥∞ can be obtained by solving the ODE: y′(λ) = η(λ, y) with y(λ0) = B(λ0) = bound at λ = λ0. 相似文献
19.
Zh.G. Nikoghosyan 《Discrete Mathematics》2009,309(8):1925-1930
Bondy conjectured a common generalization of various results in hamiltonian graph theory concerning Hamilton and dominating cycles by introducing a notion of PDλ-cycles (cycles that dominate all paths of lengths at least λ). We show that the minimum degree version of Bondy’s conjecture is true (along with the reverse version) if PDλ-cycles are replaced by CDλ-cycles (cycles that dominate all cycles of lengths at least λ). Fraisse proved a minimum degree generalization including a theorem of Nash-Williams for Hamilton cycles as a special case. We present the reverse version of this result including a theorem of Voss and Zuluaga as a special case. Two earlier less known results (due to the author) are crucial for the proofs of these results. All results are sharp in all respects. A number of possible similar generalizations are conjectured as well. 相似文献
20.
Alexander V. Osipov 《Topology and its Applications》2012,159(3):800-805
For a Tychonoff space X, we denote by Cλ(X) the space of all real-valued continuous functions on X with set-open topology. In this paper, we study the topological-algebraic properties of Cλ(X). Our main results state that (1) Cλ(X) is a topological vector space (a topological group) iff λ is a family of C-compact sets and Cλ(X)=Cλ′(X), where λ′ consists of all C-compact subsets of every set of λ. In particular, if Cλ(X) is a topological group, then the set-open topology coincides with the topology of uniform convergence on a family λ; (2) a topological group Cλ(X) is ω-narrow iff λ is a family of metrizable compact subsets of X. 相似文献