We used the invariant set method to solve the 2-dimensional parabolic MongeAmpère equation with source term u_t=det D²u+P(u) in R² and the generalized 2-dimensional parabolic Monge-Ampère equation with source term u^t=A(u)(u_xxu_yy-u_xyu_xy)+B(u)u_xx+C(u)u_yy+D(u)u_xy+E(u), and obtained the exact solutions of the two equations when the parameters were determined.

The concept of an abstact convex space without any topological structure was introduced, and fixed point theorems, matching theorems and whole intersection theorems were obtained on the basis of the well known coincidence point theorem on an abstract convex space, which is adequate to establish the KKM theory, and then  another type of coincidence theorem was given via obtained fixed point theorem. These results generalize and simplify the corresponding known results in the KKM theory on convex spaces, H-spaces, G-convex spaces, and others.

The authors studied the problems of nonsmooth programming on nonconvex sets under pseudocone condition with aggregate technique  combined homotopy interiorpoint method. The existence of solution of the generalized K-K-T equation was verified. The aggregate homotopy interior\|point method was established for finding the K-K-T point and a globally converged algorithm was proved.

This paper deals with a nonautonomous LotkaVolteraa three species system with three species cooperative and infinite delay. The sufficient condition for the permanence of the system was obtained  by means of  differential equation comparability theorem;   the sufficient condition for the existence of positive periodic solution  of the system was obtained with the aid of  continuation theorem based on coincidence degree theory.

The authors mainly focused their attention on the Riesz means of the eigenvalues of subelliptic Laplacian on the Heisenberg group, established the trace formula of associated eigenvalues, then obtained the corresponding Riesz means. We can use the Riesz means to study discrete spectrum of subelliptic Laplacian on the Heisenberg group, to establish inequalitiy for Riesz means of the eigenvalues of operators and to estimate eigenvalues.

For a generalized matrix ring Λ, we showed that Λ is a Hilbert ring(resp.a ring satisfying S-stable range) if and only if R and S are Hilbert rings by means of classical method in ring theory.

The refinability of a kind of cubic parametric spline curves with tension properties was studied and their M-band refinement equations were obtained, which contain the existing 2-band case, and furthermore, the computation of refiner tension parameters and subdivision masks with different knots were discussed, and the subdivision rules were gained. The computation procedure of 3-band subdivision was introduced in detail and numerical examples were given to illustrate the advantages of approximation.

One semidiscrete and two fully discrete finite volume element methods based on triangulation and BB dual subdivisions were presented for the hyperbolic equations. Here, the two fully discrete schemes were approximated by the GrankNicolson and the Backward Euler schemes respectively. And the optimal H₁,L₂ norms error estimates for the semidiscrete finite volume
 element scheme were obtained, and the error estimates of the two fully discrete schemes were also obtained.

A delayed circadian rhythm model was studied. By analyzing the roots of transcendental characteristic equation for linear system, periodic oscillations were established. Furthermore, global existence of periodic solutions was obtained with the help of global Hopf bifurcation theory. Finally, numerical examples were reported to confirm our theory.

A perturbed risk model for twotyperisk insurance was investigated. The precise large deviation for the claim surplus
 process of this risk model was obtained by means of some relative theories in analysis and probability theory when the claim process was a nonnegative intervalued process and the distributions of heavytailed claims belonged to the class

We studied the parameter estiamtion for the INAR(1) model by Bayes method, compared the Bayes estiamtor with YuleWalker estimator, the conditional least squares estimator, and the maximum likelihood estimator via simulation. The simulation results state that Bayes estimator is better than others in some situation.

Estimating the weight function, we gave a new Hilberttype integral inequality with homogeneous kernel real number
degree and a best constant factor. The equivalent inequality and the reverse forms were considered.

Using the singular value decomposition (SVD) of a matrix the authors studied an  inverse problem of block arrowlike matrices. The necessary and sufficient conditions of the existence of its unique solution and the expressions of the solution were obtained.

A continuation theorem for boundary valule problems of dynamic equations on time scales was established. We gave constructive proofs via the homotopy method, thereby leading to a global convergent method of finding solutions.

With the aid of the optimal control theory, we gave an optimal solvability condition on the periodicintegral boundary value problems for second order differential equations.

By virtue of the general strong approximation theorem, some general laws of the iterated logarithm (LIL) for R(n) and R/S statistic are derived when the variance may be infinite for  a sequence of independent and identically distributed random variables.

Under the circumstances that the variance is uncertain, the Ustatistics testing method is proposed for any two populations. Furthermore, we discussed the consistency and asymptotic normality of test statistics and its efficacy.

We considered a class of nonlinear diffusion equations coupled by boundary sources,  obtained the blowup rates via   integral method and some discussions in two cases. Compared with the known results, our results show that the blowup rates of the blowup solutions for the fastly and slowly diffusive systems are the same.

This paper deals with the boundary value problems for a class of partial differential inclusions -Δu∈G(x,u). When G(x,u) takes bounded weakly compact convex values,  is measurable about variable x, and is a closed graph about variable u, using the techniques from the KakutaniFan fixed point theory, we have proved the existence theorems of boundary value solutions of the system and the solution sets are weakly compact.

We mainly proved that if a superalgebra A with a superinvolution * satisfies a *polynomial identity, then A must be a PIalgebra and also proved that a primitive superalgebra satisfying a polynomial identity must be a simple superalgebra.

The primary perception process of the generalized knowledge reformulation and abstraction model was extended to multiperception process and multiabstraction models were constructed by identifying the domains that the objects of the physical world W belong to. Furthermore, the domain relations between multiabstraction models W_i and W_j are formally defined from two points of view, i.e., the intersection of their objects sets is empty (there is no such an entity involved in two different domains); there are at least one entity involved in two different domains. The extended GKRA abstraction model enriches the representation of W compared with the model from a single point of view, it percepts W from the multiple one. Knowledge of various domains can be applied to achieving multiabstraction models and the reasoning ability is enhanced.

Petri nets can describe the relationship among entities efficiently, whose dynamic behaviour is suitable for modeling distributed computer network. The repetitive forward problems were solved by modeling distributed network flow optimization based on Petri nets. On the basis, combining mature ways of linear programming could realize multiaim control of network traffic and flow, and improve network performance.

We studied the SACMP algorithm and presented the idea of the application of graph partitioning technology in the SACMP algorithm. The proposed algorithm takes the full advantage of the graph partition technology to determine the value of k in the process of executing, so it can avoid the redundant operations and blindness caused by the uncertainty of the value of k. Thus the algorithm has a better efficiency in solving the constraint satisfaction problem. The result of our experiments shows that our method is very effective and can improve the efficiency of the algorithm.

A correlation and threshold denoising method based on the directional wavelet transform was proposed in order to restore the images which were contaminated by the Gaussian noises. The directional wavelet breakthroughs  the restriction of the standard 2D wavelet transforms only along horizontal and vertical directions, can transform along any directions. Not only does it weaken the Gibbs effect, but it can protect image edges.
 The experiment results show our method has better performances than the denoising method based on the standard wavelet in both PSNR and visual effects.

On the basis of automatic management needs for space science experiment based on manned space platform combined with the feature of .NET
 and Browser/Server structure, the authors summarized the design and development needs and designed a set of hardware and software structure, an application mode and system flow for science experiment project in the .NET environment and developed  project management system for space science experiment so as to integrate and control all kinds of information during the life cycle of space science experiments and make all participants of the project  able to cooperate and coordinate. Thus the purpose of overall optimization of project progress, resources and costs could be achieved.

We defined the ontology models accurately with functional description language by analyzing the fruits of researches on ontology definition, and further, proposed a novel method of formal ontology definition, put forward a closed ontology algebra definition by defining the grade of similitude relevance between ontologies, and gave a formal description of ontology algebra with functional description language.

Study status quo of model system framework at home and abroad was introduced; and then the principle of generality and uniformity used
to guide the establishment of model system framework was proposed. On basis of the  guiding principle, toplevel structure, classification and mutual relation of model system framework which is based on generalpurpose were given. Finally, the method of model development based on the model system framework was given.

The centroid detection errors of four methods of centroid detection algorithm about ShackHartmann array spots were compared at the same SNR, during which not only the centroid detection error but also the velocity of detection was taken into account. The experiment results indicate that IWCa has less detection error (CEE<0.5) although the SNR is lower than 5 and the velocity is also great. In consideration of  centroid detection error and detection rate, centroid detection accuracy and rapidity were effectively improved.

The authors quantitatively analyzed the data of C₆₀ molecular double\|slit diffraction by quantum theory, and obtained the expression of double-slit diffraction intensity,  the diffraction intensity was revised  by means of decoherence effect. The calculation results are in good agreement with experiment data.

The symplectic method of classical theory was used to solve numerically the Hamilton canonical equations of the 2D planar HD⁺ in intense laser fields, and   obtained  the  classical trajectories of the 2D planar HD⁺ in the laser fields, the probabilities of survival  ionization, dissociation,   Coulomb explosion  and the average distances from electron to the mass-center for various laser parameters as functions of time were investigated. We analyzed  intensity dependence on the dynamics of HD⁺ in the monochromatic laser fields and compared our results with the corresponding H⁺₂ calculations and gave the corresponding physical explanations.

Boron-carbon-nitrogen (B-C-N) films were deposited by means of radio frequency (RF) magnetron sputtering from different targets,  which were hexagonal boron nitride, boron and graphite targets in the atmosphere of nitrogen and argon. The results of FTIR spectra indicate that there were two wide absorption bands at  1 200~1 800 cm^-1 and 1 000~1 750 cm^-1 separately,  and there existed characteristic absorption peak of  bond at 2 200 cm^-1. That is to say, C atom and N atom were combined in the deposited films. Graphite and h-BN targets were sputtered respectively, the results of FTIR spectra reveal that the absorption at  1 100 cm^-1 was not due to the stretching B—C bond, B-C-N films were deposited from h-BN  and C targets  inclined to phase separation,  and there was hybridization of atomic level in the deposited B-C-N films via B and C targets. 

An Ag/FePt/C thin film was deposited on Si (001) substrate by direct current and radio frequency magnetron sputtering at room temperature, then the as-deposited film was vacuum annealed at various temperatures so as to obtain L1₀-FePt thin film with high coercivity. The composition, structure and magnetic properties of the film were investigated by means of  X-ray fluorescence, X-ray diffraction and  vibrating sample magnetometer. The results indicate that disordered to ordered phase transformation took place when the film was annealed at 400 ℃. Ag underlayer could reduce the FePt ordering temperature.  The grain size could be controlled by adding Ag and C elements. The grain size and coercivity increased with  increasing  annealing temperature. The average grain size of FePt in the thin film annealed at 600 ℃ is 14 nm, the out\|of\|plane and in\|plane coercivities are 798.16 kA/m and 762.35 kA/m,  respectively.

Carbonsupported CoMCP,FeMCP,MnMCP,CuMCP,NiMCP as cathodic catalyst were prepared. And the performance of MeMCP electrocatalysts was investigated by linear sweep vol\|tammetry(LSV). The electrochemical measurements demonstrate that MeMCP catalysts have good catalytic activity. The initial potential of MnMCP is 0.513 V, which has better catalytic performance. However, the initial potential of NiMCP is 0.198 V, which is the lowest among the five central metal catalysts. DMFC test shows that CoMCP,FeMCP,CuMCP and NiMCP have good catalytic performance in the DMFC.

The photovoltage properties of a new type of porous TiO₂ (P-TiO₂) were investigated through surface photovoltage spectroscopy (SPS) and field induced surface photovoltage spectroscopy (FISPS). The abundant surface states, which were related to the special porous structure, extended the SPS response band of P-TiO₂ to visible light region (500 nm), and made the intensity of surface state transition equal to that of bandband transition. When an external electric field was added, the changes in the intensity of surface state transition were not so obvious compared with that of bandband transition. These results exhibit strong “localized effect”, induced by the surface states.

With lipase Novozym435 as catalyst, ethyl acetate as solvent as well as acyl donor, the crucial intermediatesS(+)3-methyl-1-(2-(1-piperidinyl)phenyl) butylamine of Repaglinide was synthesized enzymatically with a total yield of 17%. Compared with chemical catalysts, the enzymatic resolution method has higher enantioselectivity, regioselectivity and substrate specificity. The synthetic route is easy to operate under a moderate condition with less secondary reaction. Enzyme can be reutilized after activation, which reduces cost, and thus applied to industrial production.

The influence of Ag loading on the activity of Ag/γ-Al₂O₃ catalyst with variable Ag loading prepared by equivalent volume impregnation method to catalyze the hydrogenation of coal slime was investigated. The structure of the catalyst was analyzed by XRD, TPR, XPS and SEM. Experiment shows that there is little difference in the catalytic activities of Ag/γ-Al₂O₃ with varying Ag loading in a range of 600~900 ℃. However, when Ag loading was 5%, the activity of Ag/γ-Al₂O₃ increased in a range of 900~1 100 ℃. The XRD and SEM analyses show that when Ag loading in Ag/γ-Al₂O₃ was 5%, the Ag loading species were well dispersed in the carrier. The investigations of H₂-TPR show that the reduction peak of 5% Ag/γ-Al₂O₃ did not exist; the results indicate that 5% Ag/γ-Al₂O₃ has been completely reduced to elemental sliver.

A new layered vanadium selenite (2,2′-bipy)(H₂O)V₂SeO₇ was prepared under hydrothermal conditions, and characterized by elemental analysis, IR and single crystal X-ray diffraction analysis．The  compound crystallized in a triclinic system, P₁ space group, a=0.842 93(2) nm,
b=0.928 67(3) nm, c=0.970 95(2) nm, α=97.037(2)°, β=110.806(2)°, γ=98.385 (2)°, V=0.690 3(3) nm3, Z=2, R₁=0.022 5, wR₂=0.069 3. The  compound, (2,2′-bipy)(H₂O)V₂SeO₇, has a layered structure constructed from eight membered rings 
{V₆Se₂O₂₅}, six membered rings {V₄Se₂O₁₉}, four membered rings {V₂Se₂O₁₃} that were arranged alternately, and then extended into three dimensional supramolecular array through π-π stacking contacts of 2,2′-bipyridine molecules. The fluorescence spectrum shows that the title compound exhibits blue emission in the solid state at room temperature.

The concentrations of Mn,Zn,Cu,Fe and Ca in human hair samples of 120 schoolboys and schoolgirls of Jilin University were determinated
by inductively coupled plasmaatomic emission spectrometry. The data were analyzed with SPSS10.0 via a nonparametric test. Results were statistically compared. The concentrations of Cu and Zn were in the normal range and the concentration of Fe had a higher value in the schoolgirls and schoolboys than the reference value. The concentration of Ca was close to the normal value in the schoolboys. The concentrations of Ca in the schoolboys and Mn in the schoolboys and schoolgirls were lower than the reference values. The significantly difference was obtained in the statistical point of view for the concentrations of Cu, Zn and Ca in the schoolgirls and schoolboys and the concentrations of Mn and Cu in the freshmen and sophomore schoolgirls.

To study the effect of trantinterol on cytochrome P450 (CYP450) in rat liver microsomes, rats were given single daily oral doses of trantinterol or saline for one week. Liver microsomes were prepared and the effects of treatment on the total CYP450 content and the activities of CYP1A2, CYP2D6, and CYP3A4 were determined. The latter employed phenacetin, debrisoquine and midazolam respectively as probe substrates. The results indicate that the level of total CYP450 and the activities of CYP1A2, CYP2D6, and CYP3A4 in rat liver microsomes were unchanged after  treatment by trantinterol (P>0.05). Chronic oral administration of trantinterol did not lead to the induction of the representative enzymes of the main drug metabolizing CYP450 subfamilies.

Gene PH1704 from an archeaon Pyrococcus horikoshii OT3 was cloned and expressed at high levels in E.coli BLPCodonPlus. The recomb
inant enzyme was purified to homogeneity via ultransonic, heating and HiTrap Q Sepharose chromatography. Through SDSPAGE, NativePAGE, activitystaining and westernblotting, the protease was identified as homooligomers with dodecamer being the major polymer, and showed resistance to SDS. The enzyme was characterized for azogelation, its optimum temperature and pH were 85 ℃ and 8.0, respectively. The enzyme had a favourable heat resistance.

16S rDNA V3 fragmentbase was separated by DGGE (denaturing gradient gel electrophoresis) and clone sequence BLAST technologies, and quantity one software was used to map the cluster analysis. The fingerprint shows that the compositions of bacteria in all the soil samples are obvriously different. The cluster analysis indicates that the structures of bacteria in the same month of soil samples in different depths are similar to each other. Specific band sequencing results show that the Pseudomonas sp is the dominant microorganisms in mud volcanic soils. The bacterial polymorphism in mud volcano soil in Xinjiang is significant, and this diversity is vulnerable to ecological, climatic and other factors, however, these factors affect the dominant microorganisms little.