The aim of this paper is to investigated the initial boundary value problem for a system of nonlinear wave equations involving strong damping terms. The authors constructed an energy functional and studied the properties of the functional in view of the character of the system. With the above results, integral estimates and Poincaré’s inequality, an exponentially decay result of the solutions to the problem was obtained under suitable assumptions.

The task of seeking the weak solution (P(X),q(X)) of matrix valued osculatory rational interpolation was converted  into
computing the Groebner bases of R-submodule M of the free module over the polynomial ring. This Groebner bases can be computed recursively to obtain a parametric rational interpolation function with the Groebner bases. Choosing these parameters properly, we may get the desired  matrix valued rational interpolation function.

We used filled function method to solve unconstrained problems and got the global minimum points. A class of new filled functions was obtained by means of the combination of the continuously differentiable functions whose derivatives are larger than 0. We gave corresponding convergence proofs and some special functions satisfying the conditions. Four examples show that it is more efficient to use this class of filled function to solve the problems.

The  polynomial approximation of nonlinear ordinary differential equation was obtained based on the minimization in the least square sense. The approximation is three order or higher. Finally two examples were given in order to prove the validity of the method.

We studied a numerical method for computing the periodic solutions generated by generalized Hopf bifurcation of 3dimensional piecewise smooth Filippovtype equation. Poincaré map was constructed in each smooth region. Computing the fixed point of composite Poincaré map, we obtained the periodic solutions of generalized Hopf bifurcation. Furthermore, the numerical computation of an example was also carried out to illustrate the efficiency of the method.

With the help of  the energy estimate method, the existence, uniqueness and uniform boundedness of global solutions for a cross diffusion preypredator model with BeddingtonDeAngelis functional response were proved.  The sufficient condition of global asymptotic stability of the unique positive equilibrium point for this model was given  by constructing Lyapunov function.

Based on a wellknown theorem which asserts that groups of odd order are solvable, this paper deals with the relationships between the semi-2-cover-avoiding property of subgroups and the solvability of finite groups with the help of the methods of induction and minimal counterexamples, with a series of sufficient and necessary conditions for a finite group to be solvable. It is shown that the semi-2-cover-avoiding property can characterize solvable groups as the normality does nilpotent groups.

On the basis of a stagestructured delayed predatorprey model, introducing the impulsive stocking prey, we improved the system. And the mathematical model has biological meanings. Based on the comparison theorem and periodic solution existing theorem of impulsive differential equations, sufficient conditions of the global attractivity of pestextinction boundary periodic solution and permanenc of the system were obtained. It was also proved that all the solutions of the system are uniformly ultimately bounded.

A new supermemory gradient method for unconstrained optimization problems was presented. The globe convergence and linear convergence rate were proved under some mild conditions. Numerical experiments show that the method is efficient in practical coputation.

Applying the theorem of partitioning of matrices and matrix analysis, some sufficient conditions that local double diagonally dominant matrix is generalized strictly diagonally dominant matrix, i.e. its comparison matrix is M-matrices are given. The criteria for generalized strictly diagonally dominant matrices are generalized.

The authors studied the existence and blow-up of nonnegative solutions of p-Laplacian system with homogenous Dirichlet boundary conditions  utilizing the supersolution and subsolution method.

The authors investigated the existence and uniqueness of solutions for second order ordinary differential equations by comparison principle and Schauder fixed point theorem.

Aiming at the specific objectives in face recognition, the authors proposed the BP neural network classification methods based on the Linex loss function, and presented the test results about face database of Cambridge as well. The image recognition experiments show that the traditional problems in specific target face recognition of BP neural network can be effectively solved the ORL by this method.

On the basis of analyzing the W3C standard recommendation rule interchange format (RIF), this paper does the researches of inferring RIF rules, brings up a method of using Jess rule engine to infer RIF rules, gives the algorithm which can translate RIF rules into Jess format and proves its correctness, designs RIF2Jess system which can translate RIF rules into Jess format and use Jess rule engine to get the result. Experiments show that this system makes the translation completely and get the result correctly. This system makes the usage of  RIF rules put into practice possible.

Based on “common framework” defined as the information which is irrelative to the kernel contents of Web pages and common in Web pages from the same source, sequence alignment was adopted in the information extraction algorithm to detect the common framework. After eliminating the common frameworks from Web pages, the data fields obtained will be more suitable for information extraction. On the dataintensive Web pages from realworld websites, the effects of the alignment parameter values on extraction results and those of the phase of common framework detection on decreasing data quantity and increasing extraction accuracy were tested and evaluated. The experimental results prove the validity of this approach convincingly.

The authors presented a word disambiguation method based on local single phrase match and semantic rules via exploring the phrasestructured grammar. The method can solve the problem of redundant items existed in phrase rules and can improve the matching efficiency and disambiguation pertinence of the kinds of ambiguity by adding right nested rules between phrases and applying the matching mode of finiteautomaton. The experiment proves that the average accuracy of disambiguation reaches about 98% which is better than those of the other methods without considering the syntax and sematic between words.

The authors analyzed the constraint conditions and the objective function of the mobile Agent routing problem in WSNs. We employed the theory of evolutionary algorithm to propose a new method of genetic operation in connection of the constraints of the energy reserves, computing power, and the communicating ability of the sensor node, i.e., a routing selecting algorithm for
 mobile Agent in WSNs. This algorithm can detect the path with the minimal energy consumption for mobile Agent, and also ensure the integrity of informationgathering. The experimental results show that this algorithm has the better adaptability, and can reduce the energy consumption of sensor node, which better meets the WSNs demand of mobile Agent routing algorithm in the real world.

A method of searching diagnosis path in model based diagnosis of discrete events system is proposed by using an easy coding theory. Timecomplexity in the synchronization of discrete events system and redundancy trajectory in diagnosis could be reduced via the method of state coding, by which diagnosis trajectory could be extracted more effetely on a given observation set. The method is more suitable for less observation events systems. Based on the assumption of a complete model, except the exponential time needed in the first time running, the following diagnosis time was reduced to polynomial level. The experimental results illustrate the validity, completeness and correctness of the method.

In view of constraintbased configuration problems  solved by the classic algorithms which are used to solve constraint satisfaction problems, the authors proposed the notion of model correctness, then analysed the properties of acycle configuration, gave a backtrackfree search algorithm for solving configurations, used the arc consistency technologies to delete the redundant values from the domains of related variables so as to guide the users to configure products, and proved the correctness of the algorithm. Finally, the  two popular algorithms to compute the explanations were applied to acycle configurations.

In view of  the problem of the low degree of single-eature recognizability in pedestrian detection based on feature, this paper introduces a kind of algorithm，AdaBoost for pedestrian detection based on multi\|feature, and presents a new integrated approach of multi\|feature which is the fusion of gray scale and contour information. This approach establishes a classification model by the histogram statistics of the weight samples, and the probability distribution is represented by multiplication of several histograms. So  the joint probability based on multi\|feature can get more accurate description of pedestrian, and improve the robustness of pedestrian detection. The experimental results show that pedestrian detection in this paper has improved the detection rate, lowered false alarm rate in a large extent, and the confidence level of target recognition has been markedly improved, and it can get the better performance of pedestrian detection in various natural background.

This essay deals with a new selfadjusted speed rate control system LLAP（link layer adaptive pacing） in view of the  congestion problem in wireless Mesh network. The link layer queue scheduling mechanism at the gateway is responsible for packet scheduling and MAC circular. LLAP controls the transmission rate of wiredtowireless flows at the Mesh gateway to avoid serious interference among hops brought by excessive data transmission, and the control mechanism is realized at link layer without modifying  the existing transport and  routing protocols. We analyzed the performance of the Mesh network by NS2, and compared LLAP with  802.11 networks. Simulation results show that the network performance controlled by LLAP is superior to  802.11 networks greatly.

In connection with the international personal health record standards applied date model, JAVA mobile client, Web service architecture, Web 2.0 social network services platform was established for personalized healthcare services, effective treatment and remote care. It provides doctors/patients, trainees/trainers/ a Webbased portal for realtime and online remote care via providing users diverse interfaces and online analysis functions based on realtime monitoring regarding the privacy policy. Our portal is an innovative attempt  in personalhealth recordbased softwareasaservices social network in healthcare ITsolution field.

The relationship between KKT conditions and the studied sample and the analysis of the change of support vector after the addition of incremental samples to the training set on the basis of an improved Upper Limit on Increment incremental learning algorithm. According to the KKT conditions for this algorithm the corresponding samples were divided into three categories: the RIG distributed outside the interval of classifier; the MAR at intervals on the classification and the ERR inside the intervals of classification. And ERR set after each training was preserved and combined with the incremental sample of the next training. Experiments show that the algorithm is feasible and effective.

Crystal structure, magnetism, electronic structure, response to pressure and soft tetragonal distortions of stoichiometric composition Ni₂MnAl were calculated by means of first\|principles method the projected augmented wave （PAW） function based on  the density functional theory. The calculations show the contribution of the spin magnetic moments of Mn atom to the total moments is the largest for Ni₂MnAl. The low energy part of the total DOS is  decided by Al\|s-projected DOS, however, the high energy part of the total DOS is  decided  by Ni\|d-projected DOS and Mn-d-projected DOS and Al-p-projected DOS for Ni₂MnAl. The strong bonding exists between the Ni atom and the Mn atom, the spin correlation hybridization exists between the p state of Al and the d state of Mn. The entire energy surface for 0.95＜c/a＜1.10 is remarkably flat in tetragonal distortions for Ni2MnAl. 

First\|principle  calculation  based on density functional theory was employed to investigate the effects of Co\|doping in monoclinic LiMnO₂. It was found that Co\|doping shortened the distances between the anions and the cations effectively, suppressed the Jahn\|Teller distortion markedly and decreased the insulating band gap greatly, which respectively  enhanced the structural stability of monoclinic LiMnO₂, increased the intercalation voltage, improved the stability during electrochemical cycles, and increased the electrical conductivity. The calculated results also revealed that the Co ion in the doped system was in non\|spin state with an electron configuration of t⁶_2ge⁰_g and a valence of +3, and the Mn ion was in high\|spin state with an electron configuration of t³_2ge¹_g and also a valence of +3, nevertheless there were strong covalent interactions between the transition\|metal ions and the oxygen ions. The doped material is not an ideal ionic crystal.

ZnO/SiO₂ (ZSO) composite thin films were deposited on glass substrates by means of sol\|gel method. The microstructure, crystal structure, transmission and photoluminescent properties of the samples were characterized by SEM, XRD, UV\|Vis and PL, respectively. The results of SEM show that double\|layer structure can be observed clearly. The particles became larger as the annealing temperature rised and partly agglomerated. The results of XRD indicate that hexagonal wurtzite ZnO was formed after annealing, and with the annealing temperature rising, the peak intensity increased, while particle size also increased. The results of UV\|Vis indicate that there were absorption edges for both ZnO and SiO₂. In double\|layer composite thin films, the two different materials ZnO and SiO₂ caused curves near 360   nm to be unsmooth, and the edges to be blue shift at the same time. The samples have a higher transmittance having been annealed at 400 ℃. The PL spectra show that there were emission peaks in the ultraviolet region and blue region separately when the samples were excited at  355 nm. The photoluminescent intensity caused by defects weakened as the defects density reduced with the rising annealing temperature.

Nylon-6/montmorillonite (MMT) nanocomposite containing 4％ of MMT was prepared by melt blending. The dispersion of MMT in nylon\|6 was investigated by means of X-ray diffraction and transmission electron microscopy. It was found that the MMT layers were exfoliated and uniformly dispersed in nylon-6 matrix. When nylon-6 and nylon-6/MMT nanocomposite were drawn at the same temperature and drawing ratio in a temperature range from room temperature to 200 ℃, the  crystallinity of nylon-6/MMT nanocomposite was lower than that of nylon-6, while the MMT still had strengthening effect in nylon-6 matrix. The strengthening effect could be attributed to the interaction between MMT layers and nylon-6 molecules. The interaction restricted the motions of nylon-6 molecular chains, which resulted in the deformation resistance of nylon-6 during drawing.

Titanium nitride with various morphologies was  successfully synthesized via direct current arc discharge method with  titanium metal as the reactant and nitrogen gas as the working medium. X\|ray diffraction and select area electron diffraction studies reveal that the product was composed of single\|phase cubic titanium nitride with few contaminations. Through transmission electron microscopy and scanning electron microscopy investigations, it was found that with the decreasing of temperature, the samples collected at different temperature zones had undergone the morphology evolution from block, through sheet  and porous structures to submicron particles and nanoparticles. An optimum gas pressure of 20 kPa was found for the synthesis of titanium nitride.

We studied the properties of a series of hydroxyphenylporphyrins in alkali via UVVisible, infrared spectroscopy and Raman spectroscopy. It was found that in the base system, the alkali reacted with the peripheral hydroxyls of hydroxyphenylporphyrin, forming the salt, while no interaction between alkali and H on the center of the porphyrin ring took place. This result proves that the center ring of the hydroxyphenylporphyrin ring was stable, electric charges of the porphyrin were mostly distributed on the circumambient substituent on the mesoposition where reaction easily took place react.

A new lanthanideorganic framework [Pr(2,5-pdc)(OH)(H₂O)₂］·H₂O was synthesized under hydrothermal conditions and characterized by elemental analysis, IR spectrometry and single crystal X-ray diffraction. X-ray diffraction analyses reveal that the title complex was crystallized in a monoclinic space group P2₁/c, with a=0.935 0(4) nm, b=1.615 8(6) nm, c=0.830 9(3) nm, α=γ=90.000°, β=94.078(7)°, V=1.252 1(9) nm3, Z=4. The complex possesses binuclear units constructed via OH- bridging, and the binuclear units are further connected by carboxyl oxygen atoms of 2,5-pdc ligands to form a 3D framework.

The mass ratios of six microelements (Cu,Zn,Fe,Mn,Ca and K) in Rehmannia glutinosa Libosch and Semen plantaginis were determined by flame atomic absorption spectrometry with the mixed acid of HNO₃HClO₄ (4 ∶1) as the digesting solution. The optimal working conditions of the instruments used to determine the different elements were studied. The elements in these two sample solutions did not interfere with each other under the given  experimental conditions, so the six elements can be examined in the same preparation solution. The results show that K>Ca>Zn>Fe>Cu>Mn in Rehmannia glutinosa Libosch and K>Zn>Ca>Fe>Cu>Mn in Semen plantaginis. The accuracy and precision of the method were examined. RSD<2.40%（n=7）, the recovery is 91.31%～106.87% for these elements.

DNA was attached onto Si substrate by selfassembly. The AFM images show that the structures of DNA on Si substrate de
pended on the concentration of DNA solution: at a  low concentration of DNA, the single, stretched, cricular DNA molecules were absorbed on Si substrate; at 60~160 ng/μL DNA, the DNA network structures were formed; at a concentration of DNA  higher than 200 ng/μL,  DNA film could just form. These results suggest that it is possible to develop a DNA molecule device by this method.

Polymer microballs were prepared by solventchanging selforganization. PS and PSbPI were prepared into two kinds of microballs with different surface structures. SEM and TEM images reveal that PS and PSbPI formed smooth surface and ripple surface of microballs, respectively. The result shows the selforganization is a single layer array process of molecules with highly regular structure.

To confirm the optimal harvesting time, the dynamic changes of alkaloids and polysaccharides in mass fraction in Dendrobium nobile Lindl were determined in March, September, October, November, and December and high mass fraction of polysaccharides were determined in October and November. The most appropriate harvest time is from October to November.

To establish a method to determine the concentration of notoginsenoside C in plasma, a variety of methods were examined in the experiment to try to detect the mass concerntration of notoginsenoside C in plasma, and finally the method of extraction with methanol with protopanaxadiol as the internal standard was confirmed the best. The RPHPLC method was estabilished and the conditions were ODS C18 column (4.6 mm×250 mm, 5 μm), the mobile phase of methanolwater (V(methonol) ∶V(water)=90 ∶10), flow rate of 1.0 mL/min, and detection wavelength 203 nm. The retention time of notoginsenoside C and that of protopanaxadiol were respectively 136 min and 23.6 min. The peaks of samples were seperated well from each other without being interrupted by other components peaks. RSD of daily precision was less than 4.38%, RSD  of interday precision  was 5.22%, and the method recovery was in a range from 95.2% to 99.1%.