The authors investigated the extinction for a class of fast diffusion equations in finite time, giving the sufficient conditions about the extinction and the decay estimates of solutions with the help of L^p estimate methods and interpolation inequalities.

The periodic solutions of a class of second order differential equations were studied with the equivalent variational method. By finding suitable transformation, the original secondorder periodic boundary value problem was reduced to the firstorder periodic boundary value problem in which the periodic solution is more easily obtained. Finally, the application to a class of examples was given to illustrate the potential of this method.

The authors analyzed the large time behavior of solutions to the fast diffusive Newtonian filtration system coupled via the nonlinear boundary sources by the method of constructing various kinds of upper and lower solutions. We got the critical Fujita curve and the critical global existence curve. For many investigated Newtonian filtration equations with nonlinear boundary sources, the critical Fujita curve and the critical global existence curve are usually different. We showed that the critical global existence curve and the critical Fujita curve  are superimposed for Newtonian filtration system coupled via boundary flux.

Positive solutions for three point bondary value problem of fractional differential equations.

The global existence of Dirichlet problem for twoorder nonlinear Schrodinger equations was studied. By means of the potential well method combined with embedding theorem in Sobolev space, the value of the depth of potential well was obtained, i.e., Then  the function space was pointed out in which the solutions exist by constructing and estimating the norm of the approximate solutions of the problem. It was shown that the global W^1,2 solutions exist in potential well.

With the help of Matlab software, we employed balancing method and (G′/G)expansion method  to obtain exact traveling wave solutions of  KdVmKdV equation and ZhiberShabat equation. Compared with other methods, this method is simple and effective.

Using the partial differential equation theory, we got a class of option pricing models based on jumpdiffusion process with instantaneous volatility, and obtained the properties of the option pricing under the double effects of Brown motion and Poisson process.

With the help of the definitions of weak Hopf algebra and weak relative Hopf module in YetterDrinfeld module categories, the fundamental theorem for weak relative Hopf modules in YetterDrinfeld module categories was obtained.

The authors generalized some properties of the universal enveloping algebras for Lie algebras to Leibniz algebras, and gave the definition of universal enveloping algebras U(L) of Leibniz algebras L, by means of the definition of universal enveloping algebras, obtained a set of generators f
or U(L), and determined U(L)’s uniqueness theorem and U(L)module’s structure theorem. Moreover, the existence of universal enveloping algebras  U(L) was proved.

The authors studied the totally real 2harmonic and pseduumbilical submanifolds in a quaternion projective space by the method of moving frame and obtained a promotion of  Simons’ type integral inequality of compact submanifolds as well as some pinching theorems.

Let

Based on the concept of local α-double diagonally dominant matrices, several new sufficient conditions to determine generalized strictly diagonlly dominant matrices were given and thus the corresponding results were improved and generalized.

On the basis of the zero distribution theorem of transcendental function and normal form theorem, the authors studied the stability and local Hopf bifurcation of a neural feedback model with time delay. Further, the authors  also obtained the formulas, which decide the direction of Hopf bifurcation, and the stability of the period solution. Finally, numerical simulations were carried out to support the theoretical findings, and  a numerical result about the existence of global Hopf bifurcation was given.

This paper solves the statistical test problem of an autoregressive conditional duration (ACD) models based on an empirical likelihood method. We construct the logempirical likelihood ratio statistics for the parameters of ACD model. it is showed that the proposed statistics asymptotically follows  an χ²-distribution. A numerical simulation  demonstrates that the performance of the empirical likelihood method are better than that of the quasi-likelihood method.

Applying the mutual determined relationship between generalized quadratic matrices and idempotent ones, we proved that under a certain condition, rank and nullity for the linear combinations of sum and product of generalized quadratic matrices are independent of the choice of coefficients of the linear combinations.

We converted the periodic solution problem of solving differential equations to the unconstrained optimization problem. With the help of  the optimality conditions of unconstrained optimization problem, we applied the LevenbergMarquardt method to finding the periodic solutions of a class of Duffing equations under  restrict resonant conditions.

The authors dealt with the multiplicity of solutions of Kirchhoff type of equations. Using the asymptotic properties of the nonlinearity at infinity and zero, we obtained two positive solutions and two negative solutions by means of the Ekeland variational principle and mountain pass theorem.

Let {ε_i,1≤i≤n} be negatively dependent and random error sequence. With the help of the nonparametric regression model Y_i=g(x_i)+ε_i(1≤i≤n), we discussed the rate of the strong consistency of the nonparametric regression weighted function estimator g_n(x) for negatively dependent samples using Bernstein inequality. The consistency was extended to the case of negatively dependent samples.

Using some combinatorial techniques, the authors  gave an approximate result related to CaccettaHaggkvist conjecture, that is,  a sufficient condition α≥0.288 66  for which any digraph on n vertices with minimum outdegree at least αn contains a directed cycle of length at most 4.

With the knowledge of homological algebra, we mainly gave some results to describing the generalization of a kind of d-Koszul algebras, and proved that some quotient algebras of a kind of (d,a,b)-Koszul algebras with normalregular elements, are also (d,a,b)-Koszul algebras.

New optimality conditions for weakly convex vector optimization problems were given  on the basis of the abstract convexity, promoting the  global optimality conditions for the single objective optimization problem.

In order to decrease the simulating time and getting more detailed simulating results, this article implements a parallel biconjugate gradient stabilized method on GPU. The solver was integrated to TOUGHREACT and used in the numerical simulation of underground multiphase flow on GPU. CUDA implementing methods for sparse matrixvector multiplication and vector innerproduct are given in this paper. The experimental results show that GPU can speed up the process of solving the underground multiphase flow simulation. On different scales of simulation grids, the speed was increased by 1.7—3.4 times.

Based on det-k-decomp algorithm, along with the noting  isomorphic component and reducing the search space for an appropriate separator, the authors  presented a new class of hypertree decomposition: separated hypertree decomposition and presented a new tractable hypertree decomposition algorithm——sht-k-decomp, which can improve the efficiency of constrain satisfaction problem solving effectively. The experimental results on most instances show that our method outperforms det-k-decomp.

For the traditional Web recommendation based on clustering algorithms has low recommend accuracy, a Web recommended model based on Web log mining was pro
posed, and a main algorithm combined with fuzzy cluster and association rule mining was presented to realize the model. Experiments show the model and the algorithm keep the Web recommending covering rate and also have a higher accuracy.

We put forward three\|layer architecture model of application dictionary, which is based on the design of application dictionary: Adempiere ERP. As a result, we can separate the display property and business control logic of management software from program code to the maximum extent. In addition, we can also enhance the ability of software customization development, reduce the duplication of coding and accelerate the efficiency of software development.

Knowledge Reformulation and Abstraction (KRA) model has been introduced to formalize the workflow abstraction modeling process which is an iterative learning process of “PerceptionAbstraction”. Compared to  KRA model, the general KRA (GKRA) model is more general and flexible to represent the world which can represent the world from different abstraction granularity. We provided the workflow modeling process on the basis of the GKRA model. Particularly, we introduced the concept of function perception according to functional knowledge to automatically construct the workflow abstraction objects database WfOa. The mapping relation between the primary activity perception and the functionbased workflow abstraction object of WfOa was constructed to realize the replacement of the primary activity perceptions with corresponding mappings. With the aid of  these mapping relations, we generated the functionbased workflow abstraction model to simplify the representation of the primary workflow model.

This paper presents a multiscale saliencybased image fusion model. First, the source images were decomposed into subimage sets by contourlet transform,  then  the saliency of each piece of subimage was calculated  and  the coefficients were selected by maximizing saliency, and finally, the fused image was obtained by inversing contourlet transform. The saliency of the image was  calculated by spectral residual theory. Experimental results  show that the proposed model outperforms traditional models.

We proposed a variational model to restore images degraded by Rician noise. This model was established by considering  total variation regularization with a fidelity term involving the Rician probability distribution and instaneous variation coefficient. The quantitative and the qualitative measures used as the quality metrics demonstrate the ability of the proposed method for noise suppression.

According to the human hand vein image structure and its features, the authors  proposed a fast algorithm of domain Morphing on dorsal hand vein image. Then, we calculated the similarity of images to achieve vein recognition.

he paper reports on the effect of Mn substituting  for Fe on the magnetostrictive and related properties of Fe_81-xMn_xAl₁₉ (x=0~24) alloys by melting. The doped samples   were prepared in polycrystalline form and were all single phase bcc. The experimental results show  that the magnetostriction observed for  Fe₈₁Al₁₉ can’t be enhanced by doped Mn at a maximum   of x=24 because of the appearance of the ordered D0₃ phase. The change in the magnetostrictive coefficient of Fe₈₁Al₁₉ with Mn doping  is accompanied by a monotonic increase in resistivity, which is good for reducing the eddy current and useful for magnetic actuator application. We also found that the lattice parameter of the alloys increased with the increase in Mn concentration and the Curie temperature decreased monotonically at the same substitution.

Two-dimensional computer graphic simulation on the initial growth of Cu thin film was made based on Monte Carlo model. In this model, 100×100 two\|dimensional square lattice was established as the ideal substrate and the periodic boundary conditions were used. From  the simulation results, it was found that with the increase of the number of the deposited particles, the particle-cluster deposited on the substrate increased. It was also  found that with the increase of the migration step, the size and number of the cluster increased and the distribution became sparse when the temperature kept stable. In addition, the particles deposited assemble to the island with the increase of the temperature, the film was growing up   into island.

The sample of La_0.67Ca_0.33MnO₃ was prepared by a conventional solid state reaction method. The electron spin resonance behavior of La_0.67Ca_0.33MnO₃ was studied experimentally. The variations of electron spin resonance linewidth were investigated by spin wave theory. A self\|consistent calculation of spin wave energy was carried out in the regime of renormalization group theory, and a renormalization factor           {1-e(T)/S} was obtained to correct the temperature dependent spin wave energy. It shows that the spin wave frequency is softened with the increase of the temperature, leading to an unstable state. Therefore, the reason of the disappearance of spin wave energy at the critical temperature is well understood theoretically. We theoretically validate the conclusion that the decrease of the electron spin resonance line\|width with temperature increase is the  result of the decrease of the number of the spin wave coupling modes.

Raman scattering of stimulated  water was studied under the stimulation  of Nd∶YAG laser at wavelength 532 nm.  The Raman threshold of water is similar to that of methanol or alcohol, but is larger than that of benzene, toluene or carbon bisulfide.  At an excitation laser energy of 140 mJ,              3 426 cm^-1 stimulated Stokes and anti\|Stokes lines were found in the forward Raman scattering, the stimulated Stokes lines 3 400,3 268 cm^-1  can be found in the backward and  sideward Raman scattering.  Owing  to low Kerr constant, the threshold of the stimulated Raman of water is pretty high. The difference between the forward and backward, sideward stimulated Raman scattering of water is explained by laser induced plasma.

The purpose of this letter is to develop a new curvelet denoising algorithm for denoising images corrupted with additive white Gaussian noise (AWGN). We  used a total variation(TV) estimate as means to design a curveletdomain Wiener filter. The TV estimate indirectly yields the estimate of the image that is leveraged into the design of the filter. A peculiar aspect of this method is its use of TV and curvelet base, i.e., the TV for the design of the empirical Wiener filter and curvlet base for its application.  Numerical examples demonstrate that our method can perform better than curvelet shrinkage and TVbased method. Curvelets have been mathematically proven to represent distributed discontinuities such as edges better than traditional wavelets.

A homemade solidphase microextraction coating was used to determine polycyclic aromatic hydrocarbons (PAHs) and phthalate esters(PAEs)
 in water via headspace solidphase microextraction combined with gas chromatography（HSSPMEGC）. The conditions effecting on SPME were optimized as an extraction temperature of 70 ℃, an extraction time of 50 min by headspace, a desorption time of 5 min at 280 ℃, a NaCl concentration of 4 g and stirring rate in some speed. The detection limits were 0.005—0.1 μg/L, and the linear range was 1—100 μg/L. The recovery of east lake water in Wuhan City was 72.0%—116.3%, and the relative standard deviation (RSD) was 5.2%—8.5%.

An HPLC method was used for the determination of Oroxin A and Oroxin B in Oroxylum indicum （L.） Vent. A COSMOSILC₁₈MS
Ⅱ（4.6 mm×250 mm, 5 μm） column was adopted. The mobile phase consisted of V(methanol)∶V(φ(phosphoric acid water)=0.2%)=4∶6, at a flow rate of 1.0 mL/min. The wavelength of VWD detector was set at 278 nm and the column temperature was 25.0 ℃. The linear range of Oroxin A was 0.05—2.0 μg （r²=0.999 9）, and the mean recovery was 101.14%（RSD=1.07%, n=6）; the linear range of Oroxin B was 0.050—2.0 μg （r²=0.999 9）, and the mean recovery was 100.41%（RSD=2.26%, n=6）.

An amplified fragment length polymorphism (AFLP) method was  used to investigate the relationship and genetic diversity of 28 individuals from 8 species. Twenty eight individuals were divided into two distinct clusters: cluster A included all of birds from Emberiza, cluster B included Calarius lapponicas and Plectrophenax nivalos from Calarius and Plectrophenax respectively. Within these two clusters, subclusters formed largely on the basis of species. In all the clusters, Emberizidae jankowskii, Emberizidae cioides and Emberizidae leucocephalos were grouped into one branch, while Emberizidae schoeniclus, Emberizidae pallasi and Emberizidae yessoensis
were grouped into the other  branch. This indicates that they have blood relationships. C.lapponicas and P.nivalos in the bottom of the branchs supports that they should be separated from Emberiza.

Deuterohemin was synthesized from hemin via the reduction of resorcinol. By multiple recrystallization, the purification of the heme was resolved. Deuterohemin was obtained, with a purity of more than 95% and a yield of more than 85%.

In order to fully reveal the migration and transformation of the pesticide atrazine in natural water bodies we studied the characteristics of atrazine adsorption on the sediments influenced by a variety of environmental factors (such as pH, ionic strength, aeration rate, and temperature) via
 the  simulation by means of self\|designed natural water environment adsorption/desorption system experimental device based on  24 full factorial experimental design, and  then employed the fixed effect model to analyze the contribution from the mathematical quantitative perspective about the main effects of various environmental factors and higherorder interaction effects to adsorption of atrazine on the sediments. It was found that the main effects of the four selected  environmental factors (pH, ionic strength, aeration rate, and temperature)  all have a significant impact (significance level of 005) to atrazine adsorption on the sediments, in which the  aeration rate and the ionic strength  significantly promote atrazine adsorption on sediments, while the temperature and pH  significantly restrain atrazine adsorption on the sediments; the secondorder interaction of environmental factors which have a significant influence on the atrazine adsorption (significance level of 0.05) follows the order of temperature×pH=-73.53, aeration×pH=-59.03, temperature×ionic strength=33.19, and pH×ionic strength=27.55, and  only  the thirdorder interaction of aeration rate×temperature×pH is be  significant (significance level of 0.05), which promotes the atrazine adsorption on sediments.