Making a series of priori estimates, applying lower and upper solutions techniques and LeraySchauder degree theory, the authors obtained the existence of the solution for a fourth order differential equation with intergal boundary conditions.

We defined the quasinormal cone condition and solved the multiobjective programming problem. Under the quasinormal cone condition, we
 proved that the smooth path exists and this method is global convergent for almost all points in feasible region.

With the help  of  the concept of fuzzy soft sets, the notions of fuzzy soft subinclines in incline algebras were given, and some of their properties were studied. Furthermore, the definitions of fuzzy soft homomorphism and fuzzy soft isomomorphism of fuzzy soft subinclines in incline algebras were defined and the theorems of isomomorphic image and homomorphic preimage of fuzzy soft subinclines in incline algebras were given. Meanwhile it is proven that the category of fuzzy soft subinclines in incline algebras is topological over the category of incline algebras.

This paper deals with the global existence and blowup of solutions to a quasilinear parabolic equation ut=f(u)(Δ u+a∫Ω
u(y,t)dy-u) with nonlocal boundary condition u(x,t)=∫Ωk(x,y)u(y,t)dy on Ω, where Ω is a bounded domain in ??綆N with smooth boundary Ω. Under some hypotheses on f(s) and k(x,y), we gave sufficient conditions for the finite time blowup or global existence of solutions. In addition, the blowup rate of solutions was derived for a special case.

In this paper, we present a new family of optimal eighthorder iterative methods for solving nonlinear equations by using weight function approach. Per iteration the new methods need to compute three functional evaluations and one evaluation of firstorder derivative, which implies that the efficiency index of the new method is 1.682. Numerical results shown that, comparing with the other iterative methods, our iterative methods have higher convergence order and calculation precision.

Soliton solutions of (2+1) dimensional MKdV equation were obtained via Darboux transformation. Based on spectral problems of the generalized MKdV equation, a (2+1) dimensional MKdV equation and its Lax pairs were derived . With the help of zero curvature equation,  three different Darbouxtransformations (DTs) of the (2+1) dimensional MKdV equations were constructed. Then, relations among three Darboux transformations were discussed. As an example of application of DT, soliton solutions of (2+1) dimensional MKdV equation were given and various collision  graphics were discussed.

This paper deals with the multiplicity of solutions of p-Kirchhoff type equations. With the help of  the variational method, together with the asymptotic behavior of the nonlinearity at zero and infinity, the existence of the solution of p-Kirchhoff type equation is established when the Ambrosetti-Rabinowitz condition is not required.

We used the lattice Boltzmann method to study the wavelike equation with variable coefficients. We constructed a lattice Boltzmann model for the wavelike equation with variable coefficients. By using this model, the two and three dimensional wavelike equation with variable coefficients are simulated. By comparison between these results and analytic solutions, we find that this method can be used to simulate wavelike problems with variable coefficients.

Authors discussed the stochastic SIQS epidemic model with environment white noise. Choosing the appropriate Lyapunov function, we proved that when R₀≤1, the diseasefree equilibrium point of the stochastic system is stochastically asymptotically stable in the large scale, which means the disease dies out. For R₀>1, we gave the asymptotic behavior of the stochastic system around the endemic equilibrium P*. The result shows that the disease will prevail when the white noise is small.

We considered discretetime risk model in which a dependent structure of Poisson AR(1) is introduced between the claim numbers for each period. With the help of uniqueness of characteristic function, we derived probability distribution equivalent form of accumulated aggregate claim amount, and then established large deviation results for the sum of heavytailed claim sizes.

Based on internal P-set (internal packet set), the concepts of assistant set of internal P-set, assistant set’s σ-generation, and assistant set’s σ-strong generation were proposed, and the relationship among them was discussed. Furthermore the property theorems, identifying theorems, and generation theorems related to assistant sets of internal P-set are obtained. The theory presented in the paper makes the theory of P-sets applied to more fields.

With help of properties of generalized secondorder composed contingent epiderivates, an optimality necessary condition of Henig efficient element is established for setvalued optimization. The relationship between a generalized contingent epiderivate and a preinvex function fulfilling the domination property is given. By applying the relationship and properties of a dilating cone, an optimality sufficient condition of Henig efficient element for setvalued optimization is also obtained.

By means of homological algebra, some equivalent characterizations were given when R was left GP-injective ring, left GPP-ring or left GPF-ring. Having introduced the notions of GP-injective dimensions and GP-flat dimensions, we proved that left GP-injective global dimension is equal to right GP-weak dimension of R under the condition that R is left P-coherent. Furthermore, some new characterizations of GP-injective dimensions and GP-flat dimensions were also given.

A new concept of secondorder generalized (F,α,ρ,θ)-d-Ⅴ-Ⅰ type univexity was introduced, a minimax fractional program ming problem (P) was considered, and a secondorder dual model of programming (P) was formulated. And weak duality strong duality and strict converse duality theorems were obtained on the basis of this secondorder generalized type Ⅰ univexity.

We investigated the Hopf bifurcation control of power system with single parameter. The potential threat subcritical Hopf bifurcation was transformed into supercritical one by designing effective quadratic nonlinear controller. Example shows that the designed controller is valid.

This paper  deals with the existence of timeperiodic solutions for nonlinear wave equations. Some new existence result of timeperiodic solutions for nonlinear wave equations was established via the variational method when the nonlinearity is superlinear and nonmonotone.

The authors discussed the antiperiodic problems for a class of evolution inclusions in Banach space. When the mutilfuction G(t,x)
takes a bounded, weakly compact, convex value, and is measurable about variable t, is a closed graph about variable x, using techniques from the Kakutani-Fan fixed point theory, we have got a priori estimate to this equation and a sufficient condition of the existence of solutions, and proved the solution set is weakly compact.

The authors discussed the anti\|periodic problems of evolution inclusions in nonconvex case. When the mutilfuction G(t,x) takes bounded, weakly compact, nonconvex value, is measurable about variable t, and is a semi\|continuous about variable x, using techniques from the continuous selection theorem and the Schauder fixed point theory, we got a priori estimate to this equation and established the existence theorem of anti\|periodic solutions.

Composite invex function was introduced and applied to the nonsmooth multiobjective programming problem, on the basis of which MondWeir type duality theory was obtained for nonsmooth composite multiobjective programming.

The authors studied the secondorder [JP2]impulsive delay differential equations -u″=f(t,u,ut,γ)[JP], t≠tk, t∈J=［0,T］, where γ denotes multiple parameters. Under a given boundary value condition, we constructed a family of lower and upper solutions, [JP2]then the existence of extremal solutions of above systems was obtained by monotone iterative technique. Meanwhile, we extended previous results.

Kinematic model of vehicle reversing was built, and the algorithms of real\|time reverse trajectory equation were derived according to camera calibration theory. With the help of  acquired rotational angle of vehicle steering wheels when vehicles are reversing, vehicles reversing trajectory in world coordinate is transformed to the trajectory in image coordinate, and then the image of the trajectory, which is transformed via the radial distortion model, is displayed. Drivers will reverse by means of observing reversing trajectory in the screen, which is very helpful to beginners especially. Experimental results show that the reversing trajectory, which is calculated by the algorithms in this paper, has high accuracy and certain practical value.

We used a new architecture of graphic processing unit (Fermi GPU) to re\|evaluate the feasibility and effectiveness of using programmable GPU to accelerate the standard particle swarm optimization (SPSO) algorithm and made a systematical analysis on the rules of harnessing the power of Fermi GPU, and implemented the parallel version of SPSO on such an architecture. In the experiment, we achieved a good speedup via  the best use of the new architecture of graphic processing unit,  compared to using the other parallel version of the algorithm.

In view of the perceptual differences between photographic and computer generated images primarily existed in statistical features, an identification algorithm for photographic and computer generated images was proposed, which is based on fractal dimension and wavelet domain features. The algorithm that is based on the statistical characteristics was used to recognize the authenticity of images. In the process of our experiment, 800 standard images were used as the image database, the support vector machine was used as the classifier, and the detection accuracy rate of the computer generated images could reach 96.5% in the algorithm. It has significantly improved the accuracy of identifying computer generated images, and provides a guarantee of the authenticity of the digital image.

We provided a Chinese domain ontology learning method based on Psets and formal concept analysis which learns from unstructured Chinese texts, extracts the formal background with the P-sets. Then, it uses the Godin algorithm to construct a concept lattice based on the formal background and transforms the concept lattice into the OWL Chinese ontology with the mapping rules that we have defined. At last, we learned from the domain about biology and water via the method we proposed and got the Chinese domain ontology. The results show that the method can solve the problems of timeconsuming and energywasting. In addition, the ontology we got is a formal ontology, so it has more advantages in sharing and reusing.

We designed a new model via merging probability latent semantic analysis （PLSA） model and tree model, and applied it to the semantic analysis of text medical records. We solved the problem of “one meaning of multiword combination”  in the semantic analysis process of medical records so as to
reduce the semantic dimension and simplify the structure of the window semantic tree. The experiment of semantic decomposition and semantic retrieval effectively shows the advantages of PLSAtree model in the semantic analysis of text medical records.

Aiming at the stateoftheart planning domain definition language unsupporting multiple metrics,  we presented a planning problem model with ordinal metric and designed a new language. A basic solving method  based on greedy bestfirst search was proposed to show the solvability of our proposed planning problem.

In view of command interpreter often becoming the bottleneck of the CNC simulation system, the authors introduced the detail process of developing a rapid, efficient, reasonable command interpreter, proposed a more reasonable instruction storage mode, realized the fast and effective lexical, syntax, semantics checking process, and highprecision implementation algorithm for linear, circular explanation process. The experiment shows that the simulation system has been improved in execute speed, incise accurate and also rationality.

We presented the structures and characteristics of Botnet communication graphs in several common protocols. We compared and analyzed their functions and mechanisms and then summarized some recent researches of Botnet detection methods based on traffic graph. We further made a comparative analys
is of their application environments, experimental data and results, the advantages and disadvantages of the methods. In the end, we proposed some possible improvements for Botnet detection.

Aiming at  the current domestic situation of radioactive detectors, we  analyzed the energy spectrum of γ\|ray and calculated the full peak net area, efficiency calibration, activity of the radioactive detector according to the relationship between energy and channel number of radioactive pulse detection circuit. Within 24 h of repeated measurements in the same product nuclide activity, two measurements of the relative error is less than 6% in a  temperature range of -5—+40 ℃, the maximum of the spectrum drift does not exceed ±2 and the measurement of the total uncertainty is less than 20%. The results show that the system is stable with small error and is convenient for the on\|site detection of radioactive elements.

 We studied numerically synchronization in chaotic electrooptic bistable systems   using the difference signal between the drive and response systems to drive the response system. With proper driving stiffness, the two chaotic systems can attain to generalized and phase  synchronization, respectively. Analyzing the maximal conditional Lyapunov exponent (MCLE) of the response system, we found their range of validity and their rules. At the same time, we achieved the chaos control and anticontrol to the response system and their rules.

With the help of the analytic expression of transmissivity, reflectivity and the distribution of electron field in photon crystals at arbitrary incidence angle, we researched the field intensity of incidence light at different  angle frequencies  in photon crystals, and   the effects of different incidence angles, the period numbers and optical thickness of photon crystals on the electron field distribution, and obtained some new and valuable results.

Based on the mean value of a mechanical quantity being a measurable value in experiment and the  definition   of coherent state, we discussed the charge mean value of  the LC circuit and the time evolution formula of the current intensity, the wave function of coherent state and the quasi\|classical wave function satisfying the Schrdinger equation. The results show the quasi-classical solution of mesoscopic circuit of charge quantization.

The Rutherford backscattering spectra (RBS) of  ⁴He and ¹²C normally incident on Au,Ag,Cu thin films at 270 keV and 500 keV were simulated via Geant4. Effects of different materials, thickness and energy  of incident ions on RBS were discussed. The characters of ⁴He, ¹²C RBS were analyzed. It was found that the mass resolution is much better for ¹²C RBS than that for 4He RBS.

Spherical calcium carbonate particles were prepared with sodium carboxymethyl cellulose (CMC) as crystalline control agent. Effects of different factors on the morphology and particle size were studied and  optimal synthesis conditions of spherical CaCO₃ were obtained. XRD, FTIR, SEM were used to characterize the product. The results indicate that the spherical particles  mainly consisted  of calcite mixed with a small part of vaterite, and the product has good sphericity and uniform particle size in a  range of about 1—3 μm.

In order to get HIVGAG pharmaceutical grade plasmid DNA vaccine, we studied  the procedure of the cultivation of bacteria, alkaline lysis, isolate rudely extraction and chromatography to get plasmid DNA. We used hollow fiber ultrafiltration concentration, ion exchange chromatography and composite model gel filtration medium in this study. The experimental results show that our final product meets the requirments of  pharmaceutical standardization. And
 this technology is suit for largescale production of DNA vaccines.

The leaves of Phyllostachys heteroclada Oliver were extracted with ethanol. The EtOH extract was isolated and purified by column chromatography on silica gel, polyamide and Sephadex LH20. Four compounds were isolated for the firsttime, and the structures were identified as luteolin (1), isovitexin (2), isoorientin (3) and orientin (4) on the basis of ¹H NMR and  ¹³C NMR spectrum analyses respectively.

We  prepared Ti/PbO₂, Ti/F-PbO₂ and Ti/F-La-PbO₂ electrodes with thermal decompositionplating method and analyzed the surface morphology and phase of Ti/PbO₂, Ti/F-PbO₂ and Ti/F-La-PbO₂ electrodes with SEM and XRD. With the experiment of accelerating electrolytic life and oxidizing nitrobenzene in wastewater, we researched the influences of stability and electric catalytic activity of PbO₂ electrodes with Fdoping and F^-  and  La³⁺ co-doping. SEM and XRD were used to analyze the surface structure and crystal type of Fe³⁺/MgO. The catalyst was added in the electric catalytic oxi
dation system to test  the influence of the relevant factors on degradation  of COD and NB in the wastewater. The experimental results show that compared with undoped Ti/PbO₂ electrode, the incorporation of La³⁺ made the electrode coating surface grain refinement. Different doping  produces certain effects on growth  orientation of crystal. Fdoping significantly raised electrolytic life of PbO₂ anode. La³⁺doping improved the conductive performance. Compared with those of Ti/PbO₂, Ti/FPbO₂ electrode, electrical catalytic degradation activity of the Ti/F-La-PbO₂ electrode increased significantly. In the electrolytic system, the  catalyst added significantly improved the electrolytic reaction rate, COD and nitrobenzene degradations. The degradation of nitrobenzene fit the pseudofirstorder reaction kinetics in the amount of the catalyst.

Coagulationphotocatalytic technology was used to pretreat seawater. The results show that at a temperature of 10—25 ℃, pH 7.0—8.0, 2.5 mg/L FeCl₃, 0.75 mg/L PAM, water turbidity removal rate was as high as 96%. When nanoTiO₂ catalyst was uesd for the photocatalytic oxidation of organic compounds in seawater in an amount of 1.8 g/L for a light reaction time of 2.5 h, the degradation rate of COD was up to 9958%. Synergistic effect between coagulation and photocatalytic oxidation eventually made effluent water meet the requirements of RO.

Batch experiments  were conducted to investigate the sorption of dissolved organic matter (DOM) derived from straw and sludge treated with freezethaw  on black soil. The results showed  that in  most cases, the DOM that  can  not be adsorbed onto the black soil  facilitated the release of the organic matter from black soil in the range of the equilibrium concentration of DOM. Compared with the DOM from non\|frozen straw and sludge, the DOM from the straw and sludge treated by freeze\|thaw  increased the desorption and release  of the organic matter of black soil obviously, and it was greatly affected by the pH value, ion strength and ion type of the solution system. The desorption of the organic matter of black soil by DOM increased with the increase of pH and the decrease of ion strength. When the ion type was CaCl2 of divalent cation, the desorption of the organic matter of black soil by DOM was greater than
 that when the ion type was  monovalent cation. In the presence of  the different anions, the desorption order  of the organic matter of black soil by DOM was Cl^->SO^2-₄>NO^-_3.