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Finally,we deal with the stability problem of the Bergman kernel,i.e.,do theBergman kernels of〓converge to the Bergman kernel of D on compact subsets of〓where〓is a sequence of bounded domains converges to a bounded domainD in the sense of Boas?

最后我们研究Bergman核的稳定性问题,即,若一列有界域〓按Boas意义下收敛于一个有界域D,是否有〓的Bergman核在〓上局部一致地收敛到D上的Bergman核?

Finally, we deal with the stability problem of the Bergman kernel, i.e., do the Bergman kernels of D_k. converge to the Bergman kernel of D on compact subsets of D × D where D_k i-s a sequence of bounded domains converges to a bounded domain D in the sense of Boas?

最后我们研究Bergman核的稳定性问题,即,若一列有界域D_k按Boas意义下收敛于一个有界域D,是否有D_k的Bergman核在D×D上局部一致地收敛到D上的Bergman核?

It investigates mainly the dualinvariant of λ- multiplier convergent series, the full invariant ofλ-multiplier convergent series, the λ- multiplier convergent series in spaceswith a basis, the compact sets in the infinite matrix topological algebras, thecharacteristics of have the same compact sets in different topologies,the weak sequentially completeness of , the characteristics ofSchur-matrices, the characteristics of p- uniform Toeplitz matrices and theEberlein-Smulian theorem in the locally convex spaces, etc.

主要研究了〓数乘收敛级数的对偶不变性,〓数乘收敛级数的全程不变性,有基空间中的〓数乘收敛级数,无穷矩阵拓扑代数〓中的紧集,〓在不同拓扑下具有相同紧集的刻划,〓的弱序列完备性,Schur—矩阵的刻划,p-一致Toeplitz矩阵的刻划以及局部凸空间上的Eberlein—Smulian定理等。

If the topology is fixed and time-invariant, the consensus value of discrete-time systems also globally asymptotically converges to the convex combination of initial states, which is identical to continuous systems.

如果多智能体网络系统的拓扑结构没有改变,在离散状态下系统的一致平衡点仍收敛于初始状态的凸组合,并且离散状态下系统的一致平衡点与连续状态下系统的一致平衡点相等。

Tan and Xu [1] had proved the theorem on convergence of Ishikawa iteration processes of asymptotically nonexpansive mapping on a compact convex subset of a uniform convex Banach space , Then Liu Qihou [3] presents the necessary and sufficient conditions for the Ishikawa iteration of asymptotically quasi-nonexpansive mapping with an error member on a Banach space convergent to a fixed point . Xu and Noor [5] had proved the theorem on convergence of three-step iterations of asymptotically nonexpansive mapping on nonempty closed, bounded and convex subset of uniformly convex Banach space.

Tan和Xu已经证明了建立在一致凸Banach空间紧凸子集上的渐进非扩张映射的Ishikawa迭代序列的收敛原理,随之,刘齐侯又阐述了Banach空间上渐进准非扩张映射T的具误差的Ishikawa迭代序列收敛于T的不动点的充分必要条件;之后,Xu和Noor也证明了定义在一致凸Banach空间某非空有界闭凸子集上的渐进非扩张映射的三步迭代序列的收敛原理。

The existence of pointwise robust convergent algorithm and uniformly robust convergence is next investigated. We propose an optimal l〓 robustness synthesis method for structured perturbations system by taking advantage of the famous Small Gain Theorem.

证明了最优l〓辨识算法的存在性;证明了黑箱辨识存在辨识算法使全局误差收敛于有界区间;提出并证明了逐点鲁棒收敛算法的存在性;证明了一致鲁棒收敛算法的存在性。

Based on some results given by K Tan and H K Xu[1] proved, the convergence of three-step iterations of uniformly Lipschitz asymptotically nonexpansive mapping on a compact subset of a uniform convex Banach space had proved.

引入一致李普希兹的概念,然后在一些已有结果的基础上,证明一致凸Banach空间的紧子集上的一致李普希兹渐进非扩张映射的三步迭代序列的收敛问题。

Inspired by these results, in this paper, we first give the definition of a new mapping ? uniformly Lipschitz asymptotically nonexpansive mapping on a compact subset of a uniform convex Banach space, then construct three-step iterative sequences of uniformly Lipschitz asymptotically nonexpansive mapping in this subset . We proved the convergence of this three-step iterative sequences for uniformly Lipschitz asymptoticallynonexpansive mapping, Further more, we proved this three-step iterative sequences with an error member converge to fixed points.

从中得到启发,在本文我们首先定义了一致凸Banach空间某非空紧子集上的一种新的映射——一致李普希兹渐进非扩张映射,在该紧子集上构造关于一致李普希兹渐进非扩张映射的三步迭代序列以及具误差的三步迭代序列,先来讨论三步迭代序列的收敛性,进而讨论具误差的三步迭代序列的收敛性。

Based on long-term monitoring convergence deformation of Wuqiaoling deep-buried long tunnel, this paper analyzes convergence deformation regularity of two parallel main tunnels. Results show the left main tunnel's convergence obviously exceeds that of the right, because the right main tunnel's construction absorbs the experience of the left main tunnel. Furthermore, authors research on rheology rule of Wuqiaoling tunnel by FLAC(superscript 3D). Numerical analysis result basically is consistent with actual measurement result. Finally, 6 principles to dispose soft wall rock rheology are presented.

首先,在对乌鞘岭深埋长隧道进行长期围岩收敛变形的基础上,分析乌鞘岭深埋长隧道左、右主洞的收敛变形规律,其研究结果表明左线主洞的收敛变形均大于右线主洞,这是由于进行右线主洞施工时吸取了左线施工的经验;然后,利用FLAC(上标 3D)对乌鞘岭深长隧道软弱围岩流变进行数值研究,数值分析结果与实测结果较为一致;最后,提出对软弱围岩流变进行工程治理的6条原则。

Based on long-term monitoring convergence deformation of Wuqiaoling deep-buried long tunnel, this paper analyzes convergence deformation regularity of two parallel main tunnels. Results show the left main tunnel's convergence obviously exceeds that of the right, because the right main tunnel's construction absorbs the experience of the left main tunnel. Furthermore, authors research on rheology rule of Wuqiaoling tunnel by FLAC^3D. Numerical analysis result basically is consistent with actual measurement result. Finally, 6 principles to dispose soft wall rock rheology are presented.

首先,在对乌鞘岭深埋长隧道进行长期围岩收敛变形的基础上,分析乌鞘岭深埋长隧道左、右主洞的收敛变形规律,其研究结果表明左线主洞的收敛变形均大于右线主洞,这是由于进行右线主洞施工时吸取了左线施工的经验;然后,利用FLAC^3D对乌鞘岭深长隧道软弱围岩流变进行数值研究,数值分析结果与实测结果较为一致;最后,提出对软弱围岩流变进行工程治理的6条原则。

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