By giving the concept of 3-pre-Lie superalgebras and the definition  of O-superoperators, we discussed the basic properties of 3-pre-Lie superalgebras, and constructed the solution of the 3-Lie super classical Yang-Baxter equation by means of the sub-adjacent 3-Lie superalgebras derived from 3-pre-Lie superalgebras.

Let R be a unital prime ring containing a nontrivial idempotent, Q={T∈R: T2=0}, and R→R be a map (without additive assumption). Using method of algebraic decomposition, we prove that if δ(AB)=δ(A)B+Aδ(B) for any A,B∈R with ［A,B］B∈Q, then δ is an additive derivation, where ［A,B］=AB-BA is the Lie product.

According to the property of consistence in Fredholm index, a new spectral set was defined. By using the relationship between the spectral set and Browder spectrum, the author gave the necessary and sufficient conditions for a bounded linear operator on a Hilbert space to satisfy the property (ω), and characterized the property (ω) of polynomial functions.

Using the equations of Gauss and Weingarten with respect to the LeviCivita connection, we gave the equations of Gauss and Weingarten for a nondegenerate hypersurface of a semiRiemannian manifold with a quartersymmetric metric connection, and obtained the Gauss curvature equation and CodazziMainardi equation for this kind of hypersurface. We could further study the properties of more general connection by using this result.

We considered the asymptotic behavior of solutions for the classical reactiondiffusion equation with weak memory. When the internal and boundary nonlinearities adhered to supercritical exponential growth and the equilibrium condition, we proved the existence of a global attractor in L²(Ω)×L²_μ(R+;L²(Ω)) by using contractive function method and semigroup theory.

We considered a class of the turbulent generalized Lorenz system. Firstly, a set of homotopic mapping systems for functional analysis of model were established. Secondly, the initial approximate solution for initial value problem of system was selected. Finally, the asymptotic solutions of each order were obtained by using the homotopic mapping method, and the physical meaning of the solutions was given.

By using the fountain theorem in critical point theory and the theory of fractional variable exponent Sobolev space, the author gave the existence of infinitely many high energy solutions of fractional Kirchhofftype equation with p(x)-Laplacian operator, without assuming that the (AR) type superlinear condition held.

By using  a priori bounds of the solutions of the equations and the technique of differential inequality, the author proved that the solution of the three-dimensional viscous primitive equation of largescale ocean atmospheric dynamics was continuously dependent on the boundary parameters.

On the basis of a class of global optimality conditions, we used abstract subdifferential and abstract normal cone to study multiobjective programming problems, gave sufficient conditions for effective solutions of weakly convex multiobjective  optimization problems, and extended the single objective optimization problem to multiobjective optimization problems.

The author considered the  optimal conditions and duality of Henig approximate efficient solution and Global approximate efficient solution for setvalued vector optimization problems in Banach space. Under the assumption of conesubinvex set
valued maps, the author established the sufficient optimal conditions of Henig approximate efficient solution and Global approximate efficient solution minimers and two kinds of the dual theorems of MondWeir type and Wolfe type for setvalued vector optimization problems. As an application, the author analyzed relationship between the Henig approximate efficient solution and Global approximate efficient solution minimers for setvalued vector optimization problems and two approximate efficient solution minimers for a class of vector variational inequalities.

We designed a seeker algorithm using the simplex method for local optimization to solve a class of nondifferentiable absolute value equations, such as Ax-|x|=b. The algorithm improved the local search ability of the basic seeker algorithm by introducing the simplex algorithm, and increased the probability of jumping out of the local optimal solution. Thus, it effectively improved the disadvantages that the seeker algorithm was easy to fall into local optimum in the late  stage of calculation. The experimental results show that the algorithm has high computational accuracy and good robustness in solving absolute value equations.

Based on the higherorder power method for computing the spectral radius of nonnegative tensors, we proposed a new iterative algorithm for determining strong Htensors. We proved that the given algorithm stopped in a finite step and its convergence rate was linear convergence by combined with the scaling technique of inequality and PerronFrobenius theorem of nonnegative tensors. Some numerical examples show that the algorithm can determine whether a given tensor is
 a strong Htensor or not. The iterative steps of the algorithm are less than that of the classical algorithm for determining strong Htensors in some cases.

Using the theories of impulsive differential equations, we investigated the dynamics of a single population model with transient and nontransient impulsive harvesting in polluted environment, and gave the sufficient conditions for the permanence of the population. The results show that the amount of transient impulsive harvesting and the nontransient impulsive harvesting interval length play important roles in the permanence of the population.

In view of the numerical solution of   option pricing model under uncertain volatility, we constructed a fully implicit finite volume scheme of the nonlinear HJB (HamiltonJacobiBellman) equation， and proved the stability, existence and uniqueness of the scheme. The robustness and effectiveness of the proposed method were verified by numerical experiments.

We considered the Bayesian estimation problem for a generalized geometric distribution with doubleparameters structure, and gave the accurate expression of Bayesian estimator of the parameters from the distribution. The distribution was applied to the shortterm aggregation risk model. A new type of aggregation risk model was proposed, and the related properties of the distribution function and an approximate model of aggregate claim amount were given. The numerical simulation results verify the asymptotic unbiasedness and consistency of Bayesian estimation. Finally, the results are applied to the automobile insurance claim data, and the fitting results of the number of insurance policies under different claim times are obtained.

We studied the stability, the existence of Hopf bifurcation and the stability bifurcation direction and bifurcation periodic solution  of the doubledelay flux neuron model by using  stability theory, central manifold theorem and other methods, and  some conclusions obtained by numerical simulation were given. The results show that the bifurcation periodic solution of the model is obtained within a certain time delay range, and  the increase of time delay can induce the spike discharge behavior.

We considered that  each vertex of ring C_n of a   super sungraph G_s(C_n,a_i) was added with a path of length two, and the super sun-graph obtained was the characteristic of  module p edge magic graceful graph. The results show that the super sungraph that constructed with n trees and joint T_i(i∈［1,n］) with n-1 edges are module p edge magic graceful graph.

We considered the convergence of EMS algorithm. Firstly, we gave a necessary condition for the minimum point of observed generalized information criterion (GIC). Secondly, under the conditions of finiteness of model space, compactness of parameter space, continuity of Q function, we proved that it was necessary for the limit points of the sequence generated by EMS algorithm to satisfy the minimum points of observed GIC, which was a supplement to the global convergence of EMS algorithm. Thirdly, we gave an example of Gaussian graphical model which satisfied the necessary condition, but did not satisfy conditions for global convergence. Finally, we proved the global convergence of E-MS algorithm.

By analyzing the properties of the basis of k-polynomial algebra generated by n elements over their invariant subring,  and dividing  the symmetric group with n letters, we obtained the discriminant of polynomial algebra generated by four elements.

Using the associator deformation method, we considered the globalization problem for partial Hommodule algebras, and proved that every partial Hommodule algebra had a globalization.

We defined the  relative d-rigid subcategories in d-cluster categories, and  proved that the corresponding relative d-rigid subcategories were equivalent to rigid subcategories for given d-rigid subcategories in d-cluster categories.

By using Carleman estimates of the adjoint equations, we investigated the boundary control problem of degenerate parabolic equations, and obtained its approximate controllability. The result shows that for any objective function, there exists a control function such that the solution of the problem can be fully close to the objective function in a finite time.

Based on the idea of recombination of evolution computing theory, we proposed an exception handling method of an Agent system based on norm improvement to deal with the exceptions that violated execution norms in Agent system. The proposed method could analyze the reason for a norm exception based on the mutual triggering and execution information among norms, recombine the norms that were in the exception state, and improve the norm to make it more adaptable to the environment. The experimental results show that the method can deal with the exception state of the norm, enhance the triggering condition of norms, ensure that the norm meet the expected postcondition, and improve the ability of exception handling of Agent system in an open environment.

Aiming at the problems of difficult oilfield exploitation and low economic efficiency in China, we established a multiobjective oilfield exploitation optimization model with profit maximization as the optimization index and annual oilincreasing target, liquid addition target and injection target. Dualpopulation cooperative multiobjective particle swarm optimization algorithm was used to solve the optimization model. The algorithm expanded the search space by the dualpopulation coevolution strategy, improved the global search ability of the algorithm, and combined Lévy flight to ensure the diversity of the population and enhance the convergence efficiency of the algorithm. The experimental results show that the proposed algorithm can effectively solve the oilfield exploitation optimization model, and can optimize the results satisfying the target and constraints.

Aiming at the problem that the similarity measure of most stereo matching algorithm was mostly based on gray characteristics of pixels, which could not completely eliminate the differences of matching, and was prone to ambiguity, we proposed an improved matching algorithm based on nonparametric Census transform. It increased the measure of local texture contrast value in the traditional nonparametric Census matching process, and the directionality of the image texture was introduced, so that gray value of the center pixel was no longer the sole determinant, and matching template of the transform mode was improved, thus the ambiguity problem of traditional matching algorithm was effectively solved. The experimental results show that the improved algorithm is an effective and reasonable method of stereo matching, which improves the accuracy of dense matching.

Aiming at the problem that it was difficult to predict the network attack behavior, the attack prediction was inaccurate for the redundant path in the network, and the single index of the evaluation and prediction of the attack path, we proposed an NAPG (network attack profit graph) model, which intuitively reflected the feasibility of attack behavior through attack cost and attack profit. The attack feasibility analysis algorithm was used to eliminate redundant paths, and the attack profit was introduced into the evaluation and prediction index. The opportunity profit path prediction algorithm and the optimal profit path prediction algorithm were given. The validity of the model and algorithm was verified by simulation experiments.

Aiming at the problems of low network capacity and large energy consumption of nodes in the control process, we proposed a variable structure node position control method of high speed network based on particle swarm optimization algorithm. The method combined with particle swarm optimization algorithm and Metropolis acceptance criterion, found the corresponding particle positions of each network node, adaptively adjusted the initial position weight, obtained the particle optimal value, and established the position control model of variable structure node of high speed network to realize the position control of variable structure node. The simulation experiments were compared with the current methods, the results show that the energy consumption can be controlled within 30 kJ in the experiment of 250 node position control,  and the control efficiency is high.

Aiming at the problem of the limitations of the generalization performance of the single kernel extreme learning machine, we proposed to combine the reproducing kernel function with the polynomial kernel function to establish a new combined kernel extreme learning machine model, which had the advantages of global and local kernels, and selected cuckoo search algorithm to optimize its parameters. The simulation results show that it is feasible to use the combined kernel function based on the reproducing kernel as the kernel function of extreme learning machine. Compared with traditional support vector machine and single kernel extreme learning machine, the model has better generalization performance in multi\|valued classification and regression of experimental datasets.

Aiming at the problem that Chinese text clustering was influenced by semantic, grammatical and contextual factors, after using traditional vector space model to quantify representation, text vectors were independent of each other and semantic relations were ignored, which affected the results of clustering analysis, we proposed a Chinese text clustering algorithm based on semantic cluster. The algorithm is based on  the principle of word cooccurrence and semantic relevance. Firstly, termfrequencyinverse document frequecy (TFIDF) method was used to obtain the weight of feature words, and the collocation vector of feature words was used to construct semantic clusters. Secondly, by using the weight of feature words and their collocation words, the feature words were spatially transformed to the semantic cluster center, and the document vector embedded in the semantic information was obtained. Finally, the document vector was used for K-means clustering analysis. The experimental results show that the vectorization method can effectively improve the approximation ability of text vector to text semantics, and improve the accuracy and recall rate of text clustering results.

Aiming at the problem of low efficiency of energy feedback system, we proposed improved genetic PID (proportionalintegralderivative) algorithm to control an energy feedback system. First, the mathematical model of feedback braking was established. Then, according to the model, simulation software (MATLAB) combined with improved genetic PID algorithm was used to carry out the simulation experiment. The experimental results show that compared with the traditional PID algorithm, the improved genetic PID algorithm has better control effect, stronger stability, robustness and antiinterference ability, and the recovery efficiency is improved by 25.8%.

Online model generation method was used to solve the problem of the undiagnosable system caused by incomplete modeling. The method determined whether there was the incomplete behavior online by establishing the extensible model offline and determining the maximum length of observations when diagnosablity was available. The incomplete behavior was determined and classified according to the historical data and observation time of online operation, and the diagnostic model was redefined and the diagnoses was generated. The completeness hypothesis was cancelled, when undefined behavior existed in the system, the diagnosis results could be obtained instead of blindly extending. Therefore, the device dependence was further reduced in the modeling process.

Aiming at the problems of insufficient data and inaccurate results of constructing gene regulatory network algorithm based on single dataset, we proposed a data source fusion algorithm based on availability and responsibility (AP). The gene expression data, protein interaction data and motif data were analyzed and constructed gene regulatory network by controlling and controlled twoway flowing information transmission respectively, and compared with AUC values of three developed models: ReMoDiscovery, CLR and C3Net in yeast genomewide network construction. The comparison results show that the algorithm has higher execution efficiency and stronger convergence in the construction of gene regulatory network algorithm.

We proposed a hyperchaotic system with large Lyapunov exponents and wide frequency band. The synchronization of the hyperchaotic system was studied based on the state observer synchronization method. The results show that the method does not need to calculate conditional Lyapunov exponents, the synchronization time between drive system and response system is short, and the synchronization effect is better. Numerical simulations verify the effectiveness of the proposed method.

In order to solve the control problem of chaotic system in the secure communication, we calculated and analyzed dissipative property of the dissipative function, and proved the chaos by the Lyapunov exponent. According to the RouthHurwitz criterion, the stability of the equilibrium point was analyzed. The phase diagram wass simulated by using MATLAB. The results show that the system has rich dynamic characteristics and is not similar to the Lorenz system topology. The chaotic phenomena of the system can be controlled and eliminated by the differential feedback control method, and the new system can be periodically controlled by the x|x| control method to make the periodic state and chaos alternate.

According to a shortcut to adiabatic technique, we designed a method to add nonHermitian reverse heating Hamiltonian 
to study twolevel quantum systems without rotatingwave approximation. The results show that the Hamilton has an unbalanced gain dissipation term, can realize complete transfer of population, the method has strong robustness to parameters, 
and increasing the unbalanced gain dissipation ratio can greatly shorten the evolution time.

The mechanical properties of the α-SiO₂ crystal under the loading of strain were simulated by using molecular dynamics method with Teroff potential function， and the effects of temperature on the mechanical properties of α-SiO₂ were studied. The results show that the α-SiO₂ crystal undergoes three stages of elastic deformation, plastic deformation and fracture deformation in the process of uniaxial loading at room temperature, in which the yield strength is 22.6 GPa, the fract
ure strength is 36 GPa. The transformation of α-SiO₂ from crystal phase to amorphous phase is observed during plastic deformation. The yield strength and elastic modulus of α-SiO₂ decrease gradually with the increase of temp
erature, and the higher temperature, the lower fracture stress and fracture strain, the α-SiO₂ crystal is easy to fracture under high temperature uniaxial loading.

We investigated the structure and electronic properties of β12borene nanoribbons (BNRs) by using first principles calculations. The results show that the bare BNRs with different width and cutting direction has metallicity, and the stability of the BNRs increases with the increase of width. The hydrogen atom is used to passivate the B atom at the boundary vertex of BNRs, most BNRs is metallic and a few BNRs is semiconductor.

We studied the aspartic acid (Asp) damage induced by αHatom abstraction of hydroxyl radicals assisted with water molecules in water gas phase and water liquid phase environment by using the dispersion correction density functional WB97XD method, the ab initio MP2 method and the slovation model density (SMD) model method of selfconsistent reaction field theory.  The results show that there are two channels a and b in the damage reaction of Asp. In channel a, hydroxyl radicals water clusters interact with αH and amino nitrogen to form the complexes damage through hydrogen bonding, and in channel b, hydroxyl radicals water clusters interact with αH and carbonyl oxygen to form the complexes damage through hydrogen bonding, this channel is the dominant channel, and the activation energies are -0.7,18.7 kJ/mol in 
water gas phase and water liquid phase environment, respectively. There is one channel in the reaction of Asp damage induced by αHatom abstraction of hydroxyl radicals, and the activation energies are 8.1 and 29.9 kJ/mol in water gas phase and water liquid phase environment, respectively.

α-Fe₂O₃ films with meshy nanostructures were deposited via a selfbuilt electrospray equipment on FTO substrates. Mixed solution of Fe(NO₃)₃ and HAuCl₄ was used as precursor with the concentration of 10^-6 mol/L. Composition, structure, morphology and acetone sensitivity were characterized by Xray diffraction （XRD）, Raman spectrum, scanning electron microscope （SEM）, energy dispersive Xray fluoresence spectrometer （EDX）, Xray photoelectron spectroscopy （XPS） and gas sensitive test. The results show that the films are composed of the accumulated α-Fe₂O₃ nanoparticles. The concentration of the chloroauric acid and deposition time have a regulatory effect on the morphology of the mesh structure in the spray process. Therefore, electrospray method has the advantages of less raw material consumption and high dispersion of product.

The derivatization of benzosriprodiones obtained from Pd₂(dba)₃ participated ringopening reaction of Obromophen
ylcyclobutanone derivatives was studied, a series of substrates containing different functional groups were investigated by BaeyerVilliger reaction and Wittig reaction. The results show that different types of benzospirocyclic compounds can be prepared by the proposed method with high selectivity.

In order to construct mutants with high enzyme activity of aspartokinase (AK) and weaken or relieve the feedback inhibition of Lys (lysine), mutants M372I,T379S and M372I-T379S were constructed by site\|directed mutagenesis and high-throughput screening techniques. The wild type (WT) and mutants were induced, expressed and characterized by enzymatic properties. The results show that compared with the WTAK, the V_max of mutants M372I,T379S and M372I-T379S AK increases 13.77,15.02 and 15.60 times, respectively, and the values of K_m and n are lower than that of WTAK, the optimum pH values of mutants M372I,T379S and M372I-T379S AK are increased slightly, which are 8.0,8.5,8.5, and the half\|life period of mutants are prolonged by 1.0,0.9 and 2.3 h, respectively. The optimal temperature of M372I-T379S AK is 30 ℃, which is higher than WT AK 2 ℃. When the concentration is 1—10 mmol/L, the mutants weaken or partially relieve the feedback inhibition of Lys inhibitor.

In order to extract and utilize small molecular peptides from the sunflower calathide that could reduce uric acid and dissolve tophi, the extraction conditions were optimized by the enzymatic hydrolysis method with the yield of small molecular peptides as the index, and the alkaline protease was determined to be the most ideal enzyme. The effects of materialtoliquid ratio, time, temperature, pH value and enzyme amount on the yield of small molecular peptides were investigated by single factor
 test. The response surface MaskBehnken test was used to optimize the extraction of small molecular peptides from sunflower calathide by enzymatic hydrolysis method. The results show that the optimum technological conditions are adding alkaline protease, m(material)∶V(liquid)=1∶15, the amount of enzyme is 2%, the pH=9.0, the temperature is 55 ℃, and the time is 2 h. The highest yield of small molecular peptides from sunflower calathide is (42.41±0.01)%.