The present paper studied the blow-up and boundedness of solutions at finite time for evolution p-Laplace equations with nonl inea r boundary conditions. The authors firstly proved a comparison principle in one dimension case and then found some conditions under which the solutions may bl ow-up at finite time. The authors also gave some conditions under which the sol utions will be bounded at any finite time. Similar results to the radial solutio ns of the equation in higher dimension case are also mentioned. In the last sect ion, a special example is presented to show that the theorems are applicable.

Some properties of the solutions of the Cauch y problem for a class of nonlinear parabolic systems, in non-divergence form, w ere studied. Under different conditions, a series of global solutions and a seri es of blowup solutions of the system were constructed; on the other hand, it is proved that under some conditions, any weak solution of the problem possesses t he localization property which generalizes an important result in reference.

A new triangle summation operator, T_n(f;x), is constructed via linearly combini ng several known operators. It is proved that this operator converges t o arbitrary continuous function f(x) with period 2π on the whole axis. If f(x)∈C^j_2π(0≤j≤7), the best convergence order of the op erator is obtained. Finally, it is proved that the highest convergence order of the operator does not exceed 1/n⁸. The new operator constructed in th is paper is superior to other operators in convergency.

In this paper we establish the existence of single and multiple positi ve solutions to the periodic boundary value problems of second order singular n onlinear differential equations by means of positivity of Green’s function and the Krasnosel’skii fixed point theorem in c ones. The problem has at least one positive solution when nonlinear term f i s singular and sublinear, and the problem has at least two positive solution s when f is singular and superlinear. The paper generalizes and improves the results in the literature.

The present paper covers a research on a two level syst em with several interconnected decision makers based on the Stackelberg leader- follower game. It contains many decision makers, each of them has more than one object-bilevel multiobjective decision making. An algorithm is given to solve a mathematical model of bilevel multiobjective decision making. Via connectin g the maximal module ideal point algorithm with the power coefficient under Kuhn-Tucker condition, the bilevel multiobjective programming problem is change d to a singular-level singular-objective constraint programming problem. Then th e weak efficient solution of the problem can be aquired.

The Moore-Penrose inverses of matrices over a ring R with an involution * and unitary are discussed. Some necessary and sufficie nt conditions for the existence of the Moore-Penrose inverse of matrices over a ring R are given. In particular, it is obtained that a necessary and sufficient condition for the existence of the Moore-Penrose inverse of a matrix A over a ring R is that A=GDH, where D²=D=D^*, (GD)^{*GD+I-D and DH(DH)*+I-D are invertible.}

The point prediction problem of the unknown random variable under asymmetric loss function is discussed within the framework of decisio n theoretic. By introducing an improving equivariant estimator method in the est imation theory into statistical prediction problem, the usual equivariant predic tor can be improved. By means of the order restriction of the unknown distributi on parameters, the best equivariant predictor is improved and a class of imp roved predictors are constructed under some conditions. Some examples are given.

With the help of the directed graph and 1-path cover o f directed graph,we gave some new bounds for the spectral radius of a nonnegativ e matrices and the least eigenvalue of a M-matrices, so as to improve the know n corresponding results.

Let (X,d) be a compact metric space and f : X→X a continuous mapping, then (k(X),H) is d induced Hausdorf f metric space of all non-empty comp act subsets of X and f: k(X)→k(X), f(A)={f(a)|a∈A}. We invest igated the relationships between the chaotici ty of some set-valued discrete dynamical systems associated with f , the weakly topologically mixing and the topologically mixing of f with the chaoticity of f.

The asymptotic distribution of the Z distribution is st udied by means of decomposing the Fisher-Z distribution properly and the classi cal analysis method-truncation method. It is proved that the asymptotic distr ibution of the Z distribution is normal distribution when the two parameters m and n of the Z distribution are all positive numbers and m/(m+n)→α(m,n→∞, 0 <α<1). As a special example, it is proved that the asymptotic distribu tion of F distribution is normal distribution.

The compound method is a direct way for solving constrained nonlinear planning problems. It is simple in calculation, wide in application, and common in engineering technology. But, a weakness of this method is the reducing dimen sion phenomenon when you choose the initiating compound inappropriately, which directly offects the convergence of the optimum solution. The reducing dimension control theorem in the space of n dimensions is given, by wh ich it is possible to avoid the reducing dimension phenomenon during constructing a suitable initiating compound.

We proposed a new dynamical description for the arbitr ary neighborhood rule cellular automata, and a new kind of reproduction pattern, copy-reproduction. By comparing the Boolean equation with the probability ones , it can be found that this reproduction only appears in the Boolean equation, the rule of the probability equation doesn’t show this reproduction, even there is difference between the near neighborhood rule and far neighborhood in the Boolean equation.

An improved tunnel encapsulation method was proposed ba sed on the analysis of the mechanism of Internet network layer security protocol IPSec. On the basis of encapsulating the original IP address of the host in the data packet and doing corresponding management of it at the opponent side and s olving the incompatibility problem between IPSec and NAT the two sides of t he communication can still configure their security policy flexibly. Compared wi th the solution method of Internet engineering task force, our method can keep t he flexibility of security policy configuration without the loss of security and with adding a little spending.

The hyper tableau calculus is capable of solving first -order logic problems with equality by introducing superposition to it, which i s competent in equality reasoning. The new tableau calculus is backtrack-free a s well as complete. It is an attempt at completing the machine proving of the fi rst-order logic theorem with equality via the tableau calculus.

Aiming at located and partitioned characters on motor v ehicle plates. First, we standardized the size, variance of gray scale and mean value of gray scale of the motor vehicle plate images. Second, according to the characteristic of characters on the plate, we selected three different character istics, and constructed three BP nerve nets (NN) to identify the characters on t he motor vehicle plate. At the same time, for the position differences of charac ters on the plate we constructed and trained four different subnets to recognize characters in every BP NN. Finally, we used weighted summation of out-up of ev ery BP NN to get the final result. Furthermore, before combining the result of e ach BP NN, we calculated part two-rank difference in the characters’ image to secondly classify the similar characters in the shape, and so that we can de crease the wrong identification rate. According to the analysis based on the results of the experiments, it is demonstrated that the algorithm has a perfect identification effect.

Based on Local Interconnect Network (LIN) car bus techn ology, in DP-51H MCU data communications integration imitation experiment instr ument, provided a network soft and hardware debugging and emulation condition to implement LIN-bus communications, taked into account car performances of work in special condition, development of a car light control system based on LIN-bu s, according to LIN protocol, designed and developed intelligence master and sla ve node. We completed hardware component selection and designed of master circui t. Software analysis and procedure realization. In the design of the light syste m, the communication of LIN bus is according to the norm of LIN1.2 completely. T he LIN interface is based on the standard UART/SCI. It adopt to the single line standard of ISO9141, the LIN network consists of single master node and multiple slave node concept, provided the convenient user API.

In trying to solve constrained optimization problems by particle swarm optimization, the way to handle the constrained conditions is th e key factor for success. Some features of particle swarm optimization and a lar ge number of constrained optimization problems are taken into account and then a new method is proposed, which means to separate the objective functions from it s constrained functions. Therefore, every particle of particle swarm optimiz ation has double fitness values whether the particle is better or not will be de cided by its two fitness values. The strategy to keep a fixed proportion of infe asible individuals is used in this new method. Numerical results show that t he improved PSO is feasible and can get more precise results than particle swarm optimization by using penalty functions and genetic algorithm and other optimiz ation algorithms.

We uses a dynamic and adaptive ant algorithm to solve the quadratic as signment problem (QAP), and presented a 3-opt algorithm to the problem for the local optimization of the solution. The results from the ex periments on different QAP instances show that this algorithm is able to find go od solutions quickly. Especially, the a lgorithm is able to solve the large QAP instance preferably, but the ancient alg orithm is only able to solve the small QAP instances.

A new hybrid algorithm--mutative scale chaos genet ic algorithm (MSCGA) is presented which mixes genetic algorithm with chaos optim ization method. The character of this new method is that the mechanism of the GA is not changed but the search space and the coefficient of the adjustment of th e optimization parameter are reduced continually, which leads to generation evolution to the next generation in order to produce better optimization indivi duals so as to improve the performance of the GA and get over the disadvantage o f the GA. The examination indicates that this algorithm shows a better performan ce than the normal GA and other hybrid methods in geometric constraint solution and acquires satisfied result.

The finite element analysis software ANSYS can be used to establish the finite element model of antenna and receiver mechanism of micro wave humidity sounder of FY3 satellite and to obtain the response characteristic of the finite element model which was stimulated by harmonic loads in x, y and z direction respectively. Judged by the displacement response data of each monitored point, the conclusion that the mechanism is eligible under the load case of harmonic loads is drawn.

(Y,Gd)BO³∶Eu powders were prepared with the conventio nal solid-reaction method. Surface-modified (Y,Gd)BO₃∶Eu powders with MgF₂ were prepared by the emulsion method. The best preparing wa y is that MgCl₂ was dropped to the mixture of NH₄F and (Y, Gd)BO₃∶Eu powders to prepare surface-modified (Y,Gd)BO₃ ∶Eu powders. The interaction between F^- ions and the phosph or particles was discussed. The structures of surface-modified (Y,Gd)BO_{3∶Eu powders were measured by XRD, IR, excitation spectra and emission spectra.}

A novel filtering algorithm called adaptive directional weighted median (ADWM) filtering is proposed. The ideas of the directional filt ering and the weighted median filtering are combined with each other to construc t the ADWM filter model, which is a highly nonlinear image smoothing and enhance ment technique. The use of the variance of the moving window and the base varian ce supports the adaptivity of the ADWM filter. The ADWM filter has the features of directional filter, which is especially effective at preserving edges, and th e features of center weighted median (CWM) filter, which can reduce random noise , and moderate amounts of impulsive noise also, to some extent, as well as p reserve the details via adaptively determining the weight of the center pixe l according to the lowest variance of pixels within all the sub-windows.

Fe₂O₃-Al₂O₃ nano-composit e was prepared by sol-gel and the phase, particle size and surface characterizat ion of samples was also investigated through X-ray diffraction and transmission electro microscopic. The results showed that α-Fe₂O₃ dopi ng reduced the transformation temperature of Al₂O₃, which can form stable α-Al₂O₃ phase at 900 ℃.

The feeding-sample system of MPT-AES is pneumatic nebulization syste m, but its efficiency is not good. A new-built injector pump-ultrasonic nebuli zer combination feeding-sample system has been designed. Its performance was te sted and compared with that of the pneumatic nebulization system. It can be conc luded that the new-built feeding-sample system can increase the spectral line intensity about 2～3 times and decrease the detection limit about 2～10 times. M oreover, this new-built system can reduce the time taken by washing the sample c ell from 30 min or so to about 10 min.

The precursor PbTi(OCH₂CH₃)_6-y(acac )_y of nanocrystalline PbTiO₃ was prepared by the electro chemical dissolution of titanium for 4 h at 50　℃ and then of lead for 2　h at 40　℃ in an ethanol solution of 0.03　mol/L (Bu₄N)Br. IR and Raman spectroscopy were used to investigate the structure of the precursor. The results show that the precursor contained acac group, which could prevent the precursor from gathering. TG-DT, XRD, and TEM we re used to investigate the structure of nano-sized PbTiO₃. The xeroge l of 10　nm was obtained by drying in vacuum for 24　h. PbTiO₃ with a narrow size distribution of 10~15 nm was prepared by heating it at 700　℃ fo r 2　h.

Boron nitride(BN) thin films were prepared on the (100) -oriented surface of n-Si(0.008～0.02 Ω·m) by means of R.F. magnetron sput tering physical vapor deposition(PVD). There are only two absorption peaks of h- BN at about 1 380 cm^-1 and 780 cm^-1 in Fourier transform infrared (FTIR) spectra of the BN thin films. The field emission characteristic s of BN thin films were measured in a super high vacuum system. It has been foun d that the field emission characteristics of BN thin films depended evidently on substrate bias. The threshold electric field increases first and then decreases with substrate bias increasing. The lowest threshold electric field is 8 V/ μm for the BN film deposited at a substrate bias of -140 V, respectively. It ha s been shown that electrons are emitted from BN thin film to vacuum tunneling th rough the potential barrier at the surface of BN thin film under exterior el ectric field by Fowler-Nordheim (F~N) plots.

Titainum dioxide (TiO₂) films have been successfully deposited on NiMnCo substrates via radio-frequency (RF) magnetron react ive sputtering with pure Ti(99.99%) as the target and Ar mixed with O₂ as reactive gas. The effects of total gas pressure on the structure and phas e transition of TiO₂ films were studied by means of XRD spectra. It i s indicated that the film structure changes from rutile to anatase while work to tal gas pressure changes from 0.2 Pa to 2 Pa. The structure of TiO₂ f ilms is not affected by the film thickness.

Colloidal silver nanoparticles were prepared by means of laser ablati on with 10 ns pulse width laser at 532 nm wavelength in a series of solvents water, ethanol, glycol, etc. The nanoparticles were characterized by virtu e of UV/Vis/NIR absorption spectrometry, transmission electron microscopy (TEM) and X-ray diffractometry (XRD). The results show that silver nanoparticles could be prepared by using laser ablation, furthermore, the solvent plays im portant roles in not only the formation rate of silver particles but also the stability of the silver colloid.

In this paper, 5，10，15，20-tetra(4-carboxylphenyl)porphyrin(TCP P) was synthesized first, then a kind of new star-shaped polymer was synthesized successfully with TCPP as the core and poly(butyl acrylate)(P BA) obtained by atom transfer radical polymerization(ATRP) as the arms. The char acteristic ultraviolet absorption peak shows the difference between Soret band a nd Q bands of TCPP and the new star-shaped polymer and it can also be conclu ded that the molecular weight and polydispersity of the star-shaped polymer were controlled perfectly from the GPC spectrum.

Abstract: A thermophilic strain CW₂ was isolated and purified from the soil around a hot spring in Chang-bai mountains. The cells of isolate CW ₂ stain Gram positively, the morphology of the cells of isolate was c hanged from rod to round in the process of growth, the cells in the initial phase of logarithmic growth were longrod, majority of cells singly existed, minority of cells were geminated or formed a long discontinuous chain, until to invariable phage of growth, the c ells changed to globe. Strain CW₂ formed spore, had capsule, flagella, motility, no parasporal crystal, V.P. test was negative, could catabolism starch, could not catabolism fibrin, aerobic, but could grow without oxygen, grow at and between 30～60 ℃(opt. 55 ℃), grow at and between pH 5~11(opt. pH 7.5). The neonatal colonies were milk-white and round and the margin is regular, growing along with the strain CW₂, the colonies randomly developed to three shapes, finally formed irregular round colonies, flowery colonies or radiate compressed colonies.

The cDNA of α and β subunit of human pyruvate dehydro genase(hPDH) was cloned to pQE9, in tandom, for construction of expression vector pHsaE1αβ. The recombined hPDH was expressed in E.coli. The protei n was purified by affinity chromatography. Its biochemical properties were chara cterized.

The DNA was successfully extracted from the human bone samples excava ted from the ancient tombs of Chawuhu， which has been dated back to 2　500～ 3　000 years ago according to the feature of pottery and a series of ^{14C data. Part of the mitochondrial hypervariable region Ⅰ(364 bp) was amplifi ed and sequenced with four overlapping primers. In order to search their sharin g sequences and determine their pedigree, each sequence was searched and compare d with the database GenBank. Phylogenetic analysis indicated that there existed the admixture of Euro-Asian lineage in the east of Xinjiang prior to the time o f the Bronze Age.}

Catalytic wet air oxidation（CWAO） was employed to reduce the organi c compounds in the landfill leachate and the influence of oxidant (characterized by oxygen partial pressure) on the degradation was investigated. The results in dicate that the oxidant is an important factor in treating leachate by CWAO and decomposition rate of the organic pollutants increases with the rise of oxygen partial pressure, but the influ ence of oxidant on the decomposition rate decreases gradually with the incre ase of oxygen partial pressure. The dynamics course of the organic compounds degradation could be described with the Allometric equation（Y=aX^b） , and the mechanisms analyses were given.

With SnCl₄·5H₂O, Sb₂O₃ and Gd（NO₃）₃ as the raw material, the SnO₂/Sb DSA electrodes doped Gd were prepared by Dip coating method and sol-gel method. Taking phenol as model substrate, the electro-catalytic characteristics of prepared anodes and the relationship between the electro-cata lytic ability and the electrodes structure were investigated. The micrographs, t he crystal structure, the chemical environments of elements and element content on the surface of electrodes were analyzed by SEM, XRD, XPS and EDX. Results il lustrated that the size of SnO₂ crystal particle prepared with sol- gel method is owing to nanometer-size. The crystal particle of electrodes surfac e was integrity and the cracks on the electrode surface were very few and small. Sol-gel method is benefit to come together of the amounts of SnO₂, G d₂O₃ and the oxygen vacancy in SnO₂ crystal lattice, and resulting in the variation o f electro-catalytic characteristics of DSA electrodes.