This paper deals with  a system of second order equations with integral boundary conditions. Using  Krasnoselskii fixed point theorem, the authors obtained the existence of positive solutions and multiple solutions to the above problem.

Univariate Birkhoff rational interpolation problem was investigated. Firstly, the Birkhoff rational interpolation problem was converted into a polynomial system solving problem. Then the polynomial system was resolved by means of Groebner basis and thus the solution of the Birkhoff rational interpolation was obtained.

The authors presented a generalized  project metric algorithm with arbitrary initial point for the optimized problem with nonlinear equality and inequality constraints with the aid of the idea of penalty function technique. In order to avoid Maratos effect, a highorder revised direction was generated by an explicit formula and its global convergence and superlinear convergence were obtained under some suitable assumptions. The numerical results show that the method in this paper is effective.

By proposing a relaxed inexact criterion, a new LQP method for solving nonlinear complementarity problems was presented. Under quite mild assumptions, global convergence of the method was proved. Numerical results show that the method is viable and efficient.

We studied the following nonlinear complementarity problem: f: Rⁿ→Rⁿ, find [WTHX]x[WT]≥0, such that f(x)≥0, x^Tf(x)=0. We used PoineareBohn’s homotopy invariance theorem of degree to derive an alternative theorem. Based on this result, a sufficiently condition was established to assure the existence and boundedness of solution curve, when f is a monotone map, quasimonotone map, P^*-map, quasi-P^*-map.

By means of the LeggettWilliams fixed point theorem,  the existence of positive solutions was investigated for functional diff
erential equations with impulses and delay, with new sufficient conditions for the existence of, at least, three positive periodic solutions about the differential equations  obtained.

With the aid of  operator theory, some perturbations of Bessel sequences of order p in a Banach space X were discussed. For a Bessel sequence f={f_i}_i∈I of order p in X, we defined a bounded linearoperator T_ffrom X^* into l^p and established a linear isometry isomorphism α from the space B^p_X(I) of all the Bessel sequences of order
 p in a Banach space X into the operator space B(X^*,l^p) defined by α(f)=T_f. In the light of operator theory, some results on perturbations of Bessel sequences of order p were given, which are helpful to the study of frames of order p for a Banach space.

The theory and method of distance geometry were used to study the problems of geometric inequalities for the edgelength and volume of two ndimensional simplexes in the Euclidean space Eⁿ. Two forms of the improved ndimensional PengChang inequalities were established. From these we obtained the generalization of ndimensional Pedoe inequalities in the Euclidean space Eⁿ.

The pnilpotency  and supersolvability of finite groups were investigated by means of the s^*permutably embedding property of maximal  subgroups of Sylow subgroup. Meanwhile, a new criterion of a group belongs to a given saturated formation was obtained.

The authors presented  the concepts of  co-projective modules and  co-injective modules related to the hereditary torsion theory and proved some equivalent conditions of these two types of modules,  revealed the duality of these two types of modules,  gave the concepts of co-semisimple rings and left co-hereditary rings by means of co-projective module related to the hereditary torsion theory and studied the structure of these two types of rings.

With matrix of the derivation of Heisenberg superalgebra H relative to the basis of H as a tool, we obtained some
properties of the derivation algebra and holomorph of the finite dimensional Heisenberg superalgebra over the complex field C. The derivation algebra ofH is simple complete, while the holomorph of H is not complete Liesuperalgebras.

A nonlinear partial differential equation model was proposed to remove multiplicative noise of  color images. The geometrical manifold characteristics of vectorvalued image after smoothing are introduced to  distinguish the “real” and “false” edges. The p(x)-Laplace diffusion coefficients drive image to diffuse in different ways on the edges and in the domains of images. The |u|^q diffusion coefficient drives image to diffuse at different speeds that fit to the multiplicative noises strength. Theoretical analysis and numerical results show the efficiency of the new method.

In order to expand the researches of neutral functional differential equation, we studied a kind of periodic solutions to a fourth order p-Laplacian neutral functional differential equation. Under various assumptions, new results on the existence of periodic solutions were obtained via the theory of coincidence degree and some properties of the neutral operator.

Introducing an independent parameter and the Beta function, and using the way of real analysis and mathematical technique to estimate the weight functions, the author proved a new reverse Hilberttype integral inequality in the plane with a nonhomogeneous kernel and a best constant factor and presented an  equivalent form with a best constant factor.

We studied the parameter estimation  for AR(2) model under simple order restriction via quasilikelihood method. The strong consistency and asymptotic property of quasilikelihood estimator [WTHX]〖AKα^〗[WT] and the restriction quasi-likelihood  estimator  a* were discussed. Furthermore, we considered the problem of testing homogeneity of parameters against the simple order restriction, and also gave a simulation.

Based on linear matrix inequality, the problem of nonfragile H_∞ guaranteed cost for uncertain generalized systems with multiple timedelays was discussed, which stated matrix, state delay matrix and the controller gained both exist uncertainties. Firstly, a delaydependent sufficient condition was obtained, which ensures that the closedloop system is asymptotic stable, with H_∞ norm bound. Then a design method for nonfragile H_∞ guaranteed cost controller of the system was presented. In the end, a numerical example was given to illustrate  the effectiveness of the design method.

The effects of unbalanced magnetic pull (UMP), mass eccentricity, gyroscopic forces and polepair number on the vibrations of an eccentric rotor in threephase generator under noload were investigated by means of the numerical method. It is concluded that UMP can cause large amplitude circular whirling.

With the help of  the theory of integral equation and contact mapping theorem, linear boundary value problem for k regular functions in Clifford analysis was investigated. The existence and uniqueness of the solution to the above problem were proved, and the integral representation of its solution was obtained.

Using the theory and method of distance geometry, we proved that a necessary and sufficient condition for Σ(A,N+1) being on an (n-1)dimensional hypersphere is that the matrix M(Σ(A,N+1))=(a²_kl)(k,l=0,1,…,N) has rank n+1, where M(Σ(A,N+1)) is the distance square matrix of Σ(A,N+1), Σ(A,N+1)={A₀,A₁,…,A_N} is an ndimensional finite set of points in ndimensional Euclidean space. A necessary and sufficient condition for 5 points on a 2dimensional hypersphere was given.

We studied the blowup of the solutions to the viscous CahnHilliard equation with concentration dependent viscosity. The results  show that the structural conditons satisfied by the coefficient of viscosity play an important role in the properties of the solutions. Under two different structural conditions of the coefficient of viscosity, using the energy method, we proved  that the solutions of the initial boundary value problem blow up in finite time or tend to infinity as t→+∞.

A class of spectral conjugate gradient methods was proposed which consider a nonmonotone line search scheme. According to different formulae, we gave a convergence analysis of some numerical experiments. Numerical results show the new method is more efficient in the iterative number.

The sufficient conditions for the persistence and bound of a preypredator system with time delay were obtained via the comparison theorem. The numerical simulation result of population model was obtained with the Matlab software.

The authors proposed a novel approach of virtual machine live migration in crossdomain virtual networks. A virtual network routing protocol was presented to support crossdomain communication between VMs. A VM migration protocol controlling the migration process was designed to enable dynamic management of virtual infrastructure. We implemented a prototype based on a typical virtualization tool, Xen. VM Live migration method presented in this work enables dynamic virtual infrastructures extending to widearea network.

The present paper presents a new method of information extraction from the Deep Web based on model matching. It extracts the characteristic vector of the Deep Web query interface by means of analysising the depth of feature of web page structure automatically. The frequency and concentration rate are both considered when the weight in vector space model is defined. The characteristic word vector is used to construct the database query interface with the number of characteristic word taken into account. At last, model matching is used to classify different databases. This method is validated by experiment results.

A new approach to deal with n ∶m mappings was proposed, which translates the ontology matching problem into a clustering issue. It uses the information in Hownet to make the entities in ontologies cluster based on semantic relationship. The formulae of precision and recall were redefined. We used Hownet and its related tools to carry out experiments on a pair of ontologies provided by OAEI, and the experimental results demonstrate that our approach is feasible on block matching problem.

In view of the problem of degradation issues as well as the distribution of target class weights adapted to the phenomenon that may arise in the training process of the traditional Adaboost algorithm, the authors introduced a few improved methods to these problems. The article presented a modified Adaboost algorithm based on the adjusted weighted error distribution to limit the expansion weights. In addition, the Adaboost algorithm improved the classifier output forms, i.e., using output of the probability value instead of the discrete value and increased the detection rate more dramatically. Experiment shows that the test rate of the improved Adaboost algorithm could achieve excellent results in the Inria data set. There are good prospects of application in the field of video security surveillance.

A subdivision connectivity remeshing method was presented for a single boundary genuszero triangular mesh. It is based on the construction of quasiconformal parameterizations of original meshes and umbrella operator smoothing with the mixed area and vertex distributing density weight. A point location method based on the partition of the rectangle was presented in order to accelerate the remeshing algorithm. According to some experiments and comparisons of some typical 3D meshes, it is obvious that our method can generate the new meshes fast, and the quality of the generated meshes with subdivision connectivity remeshing method is obviously improved compared with that of the meshes producted by the umbrella operator remeshing based on only the area weight or vertex distributing density weight.

In view of purely adding mobile agent into demand routing protocol just taking up more bandwidth, increasing the cost of the system, and making the packet delivery ratio declined, the authors proposed a routing strategy with mobile agent based on hierarchical DSR (NCMDSR), and took computer simulation with the designed algorithm. The proposed NCMDSR protocol was compared with the multi agent based adaptive DSR protocol (MADSR) and DSR protocol respectively. Simulation results show that NCMDSR protocol could reduce endtoend transmission delay significantly, further cut down the number of routing requests, improving the submission rate to a certain extent. So this improved protocol is more suitable for realtime communication vehicular communication networks.

The adiabatic potential energy curves of the ground state of S² molecule and those of low\|lying excited state of S⁺₂ molecular ion were calculated by means of  ab initio method with multi\|configurational quasi-degenerate perturbative theory, and spectroscopic parameters were fitted. The adiabatic and vertical ionization energies of 3p valent electron  in S2 molecule in a range of 9—16 eV were obtained. The first adiabatic ionization energy was determined as 9.34 eV according to present calculations, which agrees with  experimental value (9.356±0.002)eV. The theoretical values for vertical and adiabatic  ionization energies of other bands were compared  with  experimental values, and the reasons of   error were analyzed, and the photoelectronic spectra of S⁺₂(A²Π_u) and S⁺₂(B²Σ^-_g) bands were assigned by means of  calculated results. 

he authors took the LC circuit as an example to discuss the relationship between the time evolution formula for the charge mean value in mesoscopic circuit and the Kirchoffs law, put forward the equation satisfying the wave function of coherent state,  the wave function of coherent state of LC circuit and  the quasi-classical wave function satisfying the Schrdinger equation, the current intensity, the quantum fluctuation and the quantum phase, and discussed the motion characteristics of wave packet.

The effect of hyperon isospin interaction on the transition density of hyperon stars was studied by means  of relativistic mean field theory for the baryon octet {n,p,Λ,Σ^-,Σ⁰,Σ⁺,Ξ^-,Ξ⁰} system. The results show that, considering the hyperon isospin interaction, the transition density of hyperon stars gradually decreased when x_ρΣ=2,1,2/3. When baryonic density was the  transition density of hyperon stars, the Λ and Ξ^- hyperons make the most contribution to the transition density of hyperon stars,  Λ and Ξ^- hyperon populations nearly amount to 80％ of the total hyperon populations,  the particle populations of Ξ^- decreased as x_ρΣ reduced, Λ hyperon populations were  34.2％,35.8％ and 33.8％ of the total hyperon populations as x_ρΣ=2,1,2/3, respectively.

 With the aid of  the definition of optical length in  gradient index (GRIN) medium, the eikonal equation was  deduced without the help of approximate theory, then the vector form of ray equation can be derived by eikonal equation, and finally the vector form of ray equation was simplified into its scalar form. The results of application example show  that the equation is especially applicable to determine the equation of ray track in terms of  known variation law of refractive index.

The sample of  Li_1.33Mn_1.67O₄  with spinel structure was prepared by means of solid state sintering technology. The ground state of  Li_1.33Mn_1.67O₄  shows cluster spin glass state  identified  by analyzing DC magnetization under different magnetic fields, magnetic hysteresis and AC susceptibility. The calculating results of geometrical frustration show that nonmagnetic Li+\|doping  destroyed the frustrated kagome lattice, induced the competition between ferromagnetic and antiferromagnetic interaction, and made the system present spin glass state.

A series of Cu-ZnO/MgO-SiO₂ catalysts were prepared via impregnation method with the support SiO₂ modified by different contents of Mg and examined in dehydrogenation of 2butanol. The effects of content of Mg on the structure and property of the catalysts were characterized by means of XRD, TPD and TPR technologies. The results indicate that the content of Mg can improve the dispersion of copper and the acid property of the catalysts. So, the appropriate content of Mg can improve the activity performance of Cu-ZnO/MgO-SiO₂ catalysts.

Compared with spectrophotometry for the determination of xanthine oxidase activity by horseradish peroxidase, a quick and simple solid agar plate method of assaying the activity of xanthine oxidase(XOD) produced by Arthrobacter sp.X11 was developed with xanthine as a substrate. The activity of xanthine oxidase was analyzed quickly and roughly according to the diameters of color haloes. This method was used to optimize nitrogen source in a fermentation medium for enzyme production.

A halotolerant strain CCHA was isolated from the surface of wild vegetation around saltern, identified by the morphological observation and ITS sequence analysis, and their biological characteristics, saltresistance and metaltolerance were analyzed. The homology of ITS sequence between CCHA and each of other 21 Aspergillus strains which have been reported was 55.9%—100%; growth temperature range of it was from 25 ℃ to 45 ℃, the optimum at 35 ℃; growth pH range of it was from 2.5 to 12.0, the optimum at 5.0—8.0; salinity range of it was 0—31%, the optimum at 5%; and the strain exhibited higher tolerance to Cu2+. CCHA strain was identified as Aspergillus sp.

A method for the determination of decabrominated diphenyl ether (BDE209) in surficial sediments was developed based on solidification of floating organic drop coupled with ultrasonicassisted dispersive liquidliquid microextraction (UAEDLLMESFO) and genetic algorithm neural network (GANN) model. The established UAEDLLMESFOHPLC method has a wide linear range (2— 9 595 ng/g) with R2=0.999 4. The limit of detection (LOD, S/N=3) and limit of quantitation (LOQ, S/N=10) of the proposed method were 0.6 ng/g and 2.0 ng/g, respectively. The recovery of added BDE209 in the real samples
at BDE209 level of 434.4 ng/g was 98.20% (RSD=5.2%, n=3).

The adsorption of Tween80 onto soils and their component samples (S1,S2,S3,S4), and effect of the environmental influencing factors on it were studied by the batch equilibration method, and the adsorption mechanisms of Tween80 were also investigated in this study. The experimental results show that the adsorption of Tween80 on the original soil samples (S1,S2) and their respective organicmatterextracted soil samples (S3,S4) increased with the increase of the equilibrium concentration of Tween80 andgradually tended to equilibrium. The isotherms of it fitted to the Langmuir equation better. The organic matter and minerals of soils were important components to adsorb Tween80, the soil minerals had a stronger affinity for Tween80, and the adsorption of Tween80 was mainly depended on their combination. The adsorption amount of Tween80 on soil and their component samples increased with the increase of its initial concentration and temperature, but decreased with pH increasing. And the adsorption maximum capacities of soil and their component samples under the same condition followed the order of S4>S3>S1>S2.

Source apportionment of PAHs applied in the analysis of surface water was studied to control and eliminate water pollution. Comparing variable methods of source apportionment of PAHs, we analyzed and discussed the principle, characteristics and scope of the application of the methods that are usually divided into qualitative analysis and quantitative analysis. The applications and results of source apportionment of PAHs in surface water and sediments were contrasted and analyzed. Then, the source of contaminations was also analyzed briefly. The results of the source apportionment indicate that PAHs in aquatic environment and sediments in inland region mainly come from the combustion of coal, wood, and other minerals. PAHs in coastal areas which are in aquatic and sedimentary environments are derived from petroleum and other combustion processes. Subsequently, PAHs in coastal areas are more obviously from petroleum compared with that in inland region.