（T＋λI）－1不一定是非扩张映射

设Ｔ是ｍ-增生算子，Ｉ是恒等映射．本文通过一个反例说明（Ｔ＋λＩ）^－1（λ＞０）不一定是非扩张映射．     

Microscopically structural studies of lithium niobate powders

On the basis of the crystallographic characteristics of lithium niobate (LN) crystals, Law of Bravais and Pauling's third rule (i.e. Polyhedral Sharing Rule) are employed with the aim to find the relationship between the crystal structure and morphological faces of LN powders. In order to validate our analytical results, we have successfully synthesized LN powders and measured the corresponding X-ray powder diffraction. Our results show that the structural analysis is consistent with the experimental data and is helpful and effective for us to control the single-crystal growth and to design superstructures at the specific plane, starting from the viewpoint of the microscopic behaviors of constituent chemical bonds and polyhedra in the crystallographic frame.     

Wavelet and harmonic filtering for distortion-invariant volume holographic correlation

The wavelet and harmonic filtering method suggested by Zalevsky and Ouzieli is introduced in this paper and adopted in our volume holographic image recognition system. This composite filter combines several scaled versions of the cascaded wavelet and harmonic filter, obtaining high discrimination ability and wide dynamic range of rotation and scale deformations. Optical experiments are conducted to demonstrate the validity and practicability of the algorithm. To the best of our knowledge, this is the first report of using this algorithm in a volume holographic system. Moreover, the separate correlation approach proposed in this paper greatly simplifies the manufacturing process and reduces the cost of the system.     

Reaction Mechanism Investigation Using Vibrational Mode Analysis for the Multichannel Reaction of CH_3O+CO

ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｍｅｔｈｏｘｙｒａｄｉｃａｌ (ＣＨ3Ｏ)ｉｓａｎｉｍｐｏｒｔａｎｔｉｎｔｅｒ ｍｅｄｉａｔｅｉｎｔｈｅｐｈｏｔｏｃｈｅｍｉｃａｌｏｘｉｄａｔｉｏｎｏｆｈｙｄｒｏｃａｒｂｏｎｓｉｎｔｈｅａｔｍｏｓｐｈｅｒｅ ,1 3ａｎｄｐｌａｙｓａｓｉｇｎｉｆｉｃａｎｔｒｏｌｅｉｎｔｒａｎｓ ｆｏｒｍｉｎｇｎｉｔｒｉｃｏｘｉｄｅｔｏｎｉｔｒｏｇｅｎｄｉｏｘｉｄｅ .4 Ｓｉｍｉｌａｒｌｙ ,ｔｈｅｒｅａｃｔｉｏｎｍｅｃｈａｎｉｓｍｓｏｆｈｙｄｒｏｘｙｌａｎｄｃａｒｂｏｎｍｏｎｏｘｉｄｅ5,6ａｎｄｏ…     

Least‐squares finite element method on adaptive grid for PDEs with shocks

We apply the least‐squares finite element method with adaptive grid to nonlinear time‐dependent PDEs with shocks. The least‐squares finite element method is also used in applying the deformation method to generate the adaptive moving grids. The effectiveness of this method is demonstrated by solving a Burgers' equation with shocks. Computational results on uniform grids and adaptive grids are compared for the purpose of evaluation. The results show that the adaptive grids can capture the shock more sharply with significantly less computational time. For moving shock, the adaptive grid moves correctly with the shock. © 2005 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2006     

Weak and Strong Solutions for the Stokes Approximation of Non-homogeneous Incompressible Navier-Stokes Equations

In this paper,the Dirichlet problem of Stokes approximate of non-homogeneous incompressibleNavier-Stokes equations is studied.It is shown that there exist global weak solutions as well as global andunique strong solution for this problem,under the assumption that initial density ρ_0(x)is bounded away from0 and other appropriate assumptions(see Theorem 1 and Theorem 2).The semi-Galerkin method is applied toconstruct the approximate solutions and a prior estimates are made to elaborate upon the compactness of theapproximate solutions.     

Semilinear Differential Inclusions in Separable Banach Spaces

Ｓｅｍｉｌｉｎｅａｒ　Ｄｉｆｆｅｒｅｎｔｉａｌ　Ｉｎｃｌｕｓｉｏｎｓ　ｉｎ　Ｓｅｐａｒａｂｌｅ　Ｂａｎａｃｈ　ＳｐａｃｅｓＸｕｅＸｉｎｇｍｅｉ（薛星美）ａｎｄＳｏｎｇＧｕｏｚｈｕ（宋国柱）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，Ｎａｎｊｉｎ...     

Synthesis and Structural Characterization of Adduct [La(NO_3)_3·4H_2O]·2(BQEB)

Differentkindsofopenchaincrownethershavebeensynthesizedasthemodelcompoundsofionophoresandtheirinteractionswithsodium,potassiumandrareearthionshavealsobeenstudiedl'z.PanshowedCe(III)yieldedalf1complexwithl,8-bis(8'-quinolyloxy)-3,6-dioxaandtheCe(IIl)ioncoordinatedbothtoetheroxygenandquinolinenitrogenatoms3.TUmInleridentifiedtwolanthanidenitratecomplexeshavingastoichiometryof3:2(3RE:2L)'.InordertostUdythefunctionsofbothquinolineandbenzenering,introducedintothepolyetherchain,a1inearpolyether…     

Nd2O3掺杂对SnO2气敏性质的影响

SnO_2是目前应用最广的一种气敏材料。我们曾经报道掺入La_2O_3,CeO_2,Pr_6O_(11),和Nd_2O_3后可使半导体元件的灵敏度提高,尤以对乙醇、乙醚、丙酮为显著。掺Nd_2O_3元件对乙炔的灵敏度也有提高。本文考察了SnO_2粒度和被测气氛的物化性质对掺Nd_2O_3元件灵敏度的影响。SnO_2采用水解SnCl_4法制备,纯度经光谱分析测定合格,试样用标准筛分目。在SnO_2中加1wt%Nd_2O_3(光谱纯)和适量水及甲基纤维素,混磨15分钟。将制成的悬浊液滴在一对铂