We first proved the wellposedness of weak solutions for the nonclassical diffusion equations with time delays by using the FaedoGalerkin method, and then we gave  the pullback Dasymptotic compactness  by using the  contraction function method, which proved the existence of timedependent pullback attractor.

We considered the antiperiodic solutions for a class of time scale dynamic equations with exponential dichotomy. By applying the Banach fixed point theorem, we gave sufficient conditions for the existence of antiperiodic solutions for nonhomogeneous linear time scale dynamic equations and semilinear time scale dynamic equations, and gave some examples to illustrate the application of the main results in practical problems.

We applied a symmetrical splitting algorithm to decompose the solution of a 2ndimensional Stratonovichtype stochastic Hamiltonian system into two ndimensional subsystems in turn, so as to reduce the dimension and simplify the computation. We obtained the global mean square first order convergence of this method by error analysis. The numerical examples verify the correctness of the theoretical results.

We used the lattice Boltzmann method to study the RossMacdonald equations with drift property  which described the MalariaMalaria mosquito system. We first constructed a lattice Boltzmann model for the RossMacdonald equations, then used this model to simulate  the MalariaMalaria mosquito system, and compared the numerical solutions of the lattice Boltzmann  method with those of the finite difference method. The results show that this method can be used to 
simulate the MalariaMalaria mosquito system.

By establishing an appropriate Sobolev inequality, we solved the blowup problem of solutions of a class of parabolic equation with dissipative gradient functions under mixed boundary conditions. Furthermore, two methods were used to obtain estimates of the lower bound of blowup time for blowup solutions, and the effectiveness of the these methods was analyzed.

Using the method and principle of intervalvalued fuzzy set, we introduced the concepts of representable intervalvalued overlap and grouping functions, combined with overlap and grouping functions generated by the multiplicative generator pairs, under the boundary conditions, we gave the solutions to the functional equations I(G(x,y),z)=O(I(x,z),I(y,z))  and I(x,O₁(y,z))=O₂(I(x,y),I(x,z)), and discussed the related properties of overlap and groupling functions.

Firstly, we gave the definition of the generalized general position arrangement, and studied the relationships among the general position arrangements, generalized general position arrangements and generic arrangements. Secondly, by establishing the relationships between arrangements and the simple graphs, we gave the necessary and sufficient   condition for linear independence of the subarrangements of generic threshold arrangements and the characteristic polynomials of the subarrangements of generic threshold arrangements.

Firstly, we gave the definition of intuitionistic fuzzy mapping  and investigated the invariable properties of intuitionistic fuzzy β-covering under the mapping. Secondly, we gave  the concepts of the mapping about intuitionistic fuzzy sets and intuitionistic fuzzy β-covering compatibility, respectively, and discussed the related properties. Finally, we proposed the concepts of the intuitionistic fuzzy β-covering information system and their homomorphism, and  investigated properties of the homomorphism between the intuitionistic fuzzy β-covering information systems.

We studied  the kraus operator decomposition corresponding to incoherent quantum operations and strictly incoherent quantum operations  by means of operator algebra and matrix theory. Firstly, we gave the equivalence conditions of bounded linear operators as incoherent operators and the concrete forms of incoherent operators, and gave the method  of characterizing incoherent quantum operations with incoherent operators. Secondly,  we gave the concrete forms of strongly incoherent operators and the method of characterizing  strictly incoherent quantum operations with strongly incoherent operators, and gave the relationship between strictly incoherent quantum operations and incoherent quantum operations.

Let C be the companion matrix of a linearized polynomial and I be the identity matrix of the same order. We gave a necessary and sufficient condition for its reversibility by analyzing the structure of C+I, and based on this, we gave linearized polynomials
 whose kernel had trivial intersection with the kernel of trace function.

By using the inversefree Newton’s method and the interval algorithm theory, we studied the credibility verification of Z-eigenpairs of symmetric tensors, and proposed an interval algorithm to calculate Z-eigenpairs. The algorithm output an approximate Z-eigenpair and its corresponding error bound, so that an exact Z-eigenpair of symmetric tensors must exist within the error range of the approximate solution.

Relation trigger words and the singlelayer gated recurrent unit model were used for relation extraction in order to reduce the complexity of the relation extraction model structure and improve the training efficiency of the model. By calcul
ating the dependency distance and the sequence distance of the words, we obtained relation trigger words, and used the singlelayer gated recurrent unit model to extract relations. The experiment was performed on the SemEval 2010 Task 8 dataset. The experimental results show that the method can effectively extract the relation trigger words, and has higher accuracy of relation extraction.

Aiming at the problem of low fault diagnosis accuracy caused by the randomness and uncertainty of multifunction vehicle bus (MVB), we designed a fault diagnosis algorithm for MVB based on fuzzy neural network. Firstly, the diagnosis model was given according to the fault types of MVB. Secondly, the subtraction clustering was used to generate fewer fuzzy rules. Finally, the T-S fuzzy neural network was used to classify the faults. The simulation results of the fitting ability and diagnosis accuracy of the algorithm in MATLAB show that the proposed algorithm simplifies the structure of the fuzzy neural network and effectively improves the accuracy of fault diagnosis.

Aiming at the problem that the traditional radio transmitter location method mainly depended on the parameters received by the base station, the cost of building the base station was large, we proposed  radio transmitter location method based on adaptive Hata model. This method improved the traditional Hata model, and used particle swarm optimization algorithm to determine the location of radio transmitter effectively. The experimental results show that this method is feasible and effective.

Aiming at the problem that the image fusion effect of visible image was poor due to the influence of light and weather, we 
proposed a fusion method of infrared and visible image enhancement based on curvelet transform. Firstly, guided filter was used to enhance the details of visible image. Secondly, the enhanced visible and infrared images were decomposed respectively by using curvelet transform, and the maximum coefficients were taken for the lowfrequency part, the absolute values and the corresponding pixel maximum values in the square neighborhood window were used for the fusion image values for the highfrequency part. Finally, the fusion result was obtained by using inverse transform of curvelet transform. The experimental results show that the proposed method has good effect in detail processing, edge protection and source image information.

Aiming at the problem of low recognition efficiency of existing algorithms, we proposed a radio frequency identification (RFID) anticollision algorithm based on equal area division. Firstly, a novel grouping structure was established by dividing the tags in the range of reader recognition into equal area. Secondly, dynamic prediction weights were used to estimate the number of tags in each group. Finally, it was combined with the optimal number of time slot adjustment scheme to identify the tags, which solved the problems of poor system stability and low throughput caused by the increase of tags in largescale tag application scenarios. Simulation results show that the algorithm can effectively improve the throughput rate of system and reduce the number of time slots in the communication process.

Based on the idea of cooperative relay, we proposed a system model that the secondary user assisted the primary user to transmit, and used the Lagrange dualoptimized power allocation algorithm based on decoding and forwarding for power allocation, which solved the problem of excessive interference caused by the secondary user accessing the primary user frequency band. The simulation results show that the proposed algorithm can greatly reduce the interference to the 
primary users under the premise of ensuring the normal communication of the secondary users, effectively increase the resistance of the primary user to the external environment and improve the system capacity of the primary user.

Aiming at the problem that trigger rate and success rate of handover were both low in the process of handover, we proposed an adaptive joint decision handover algorithm based on improved genetic algorithm. Firstly, based on the genetic algorithm, under the high-speed characteristics, the relevant parameters in the process of handover decision were optimized, and the hysteresis tolerance value that met the fast handover requirement was dynamically selected for different running speeds of the train. Secondly, satisfactory communication probability (SCP) was introduced, when the train moved between cells, if the SCP value did not meet the requirements, it would not be able to access the next cell to ensure the excellent communication quality. The simulation results show that compared with the traditional handover scheme, this scheme can achieve the goal of improving the trigger rate and the success rate of handover, and has a higher satisfactory communication probability.

The nanosecond laserinduced brass plasma spectra were obtained by using a selfbuilt laserinduced breakdown spectroscopy (LIBS) experimental device at room temperature and atmospheric pressure. We studied the evolution of the Zn plasma spectrum in the emission spectrum with 150—3 000 ns gate delay of the intensified chargecoupled device (ICCD), and calculated the evolution law of electron temperature and electron density of the plasma with ICCD gate delay by using the Stark broadening coefficient and energy level transition parameters. The experimental results show that when the ICCD gate delay is 150—500 ns, the spectrum shows a strong continuous spectrum at the initial stage. With the increase of ICCD gate delay, the linear characteristic lines of Zn atoms are gradually highlighted on the continuous spectrum. The spectral intensity of the characteristic line reaches maximum when the ICCD gate delay is 500 ns. With the increase of the ICCD gate delay, the spectral intensity gradually decreases, and the characteristic line signal of the plasma disappears when the ICCD gate delay is 3 000 ns. The spectral intensity and electron temperature are consistent with the change of ICCD gate delay, the electron density and the full width half maximum (FWHM) of ZnⅠ(481.0 nm) spectral line is close to exponential fitting with the change of ICCD.

The author considered finitetime synchronization of  fractionalorder uncertain Like-Bao system. According to the fractional order finitetime synchronization theory, the author gave sufficient conditions for Like-Bao systems to achieve finitetime synchronization. The results show that the driveresponse systems of fractionalorder uncertain Likebao chaotic systems are finitetime synchronization under certain conditions.

Using the B3LYP method of density functional theory, we investigated the chiral transition process of the phenylalanine (Phe) molecule in BNNT at the level of 6-31+G(d,p). We drew a complete reaction potential energy surface for chiral transition path of Phe molecule by finding structures of the extreme value points including the transition states and intermediates. The results show that the 12H atom on the chiral 1C atom of S-Phe@BNNT molecule transfers to the other side of the 1C atom via the 9O atom of carboxyl group as a bridge, and achieves the chiral enantiomer transition of Phe molecule from S-Phe@BNNT to R-Phe@BNNT.

Based on the invariance of differential equation under infinitesimal transformation, we studied Lie symmetry and conserved quantity for a singular nonconservative Lagrangian system on time scales. Firstly, we established the differential equation of motion on time scales. Secondly, based on the invariance of differential equations under infinitesimal transformations on time scales, we established the conserved quantity of the Lie symmetry on time scale. Finally, we gave an example to illustrate the application of the result.

TheLa_0.8Sr_0.2Ga_0.8-xMg_0.2Co_xO_3-δ electrolytes for solid oxide fuel cell (SOFC) with different concentrations of Co were prepared by glycinenitrate combustion method, and the crystal structure, morphology and electrical properties were characterized. The results show that, with the increase of Co doping, there is no obvious heterophase peak in the sample, the spectral peaks shift slightly to the side of small angle, the cell volume increases slightly, and the average partical size decre
ases gradually. Co doping has a siginificant effect on the conductivity, and the grain conductivity is the key factor to increase the total conductivity of the sample.

The nano/micron phenolic resin multilayer hollow spheres were obtained by using selfassembled vesicles consisting of cetyltrimethylammonium bromide (CTAB) and sodium dodecyl sulfate (SDS) as templates, the watersoluble phenolic resin was the precursor, and the buffer environment was provided with the aqueous ammonia solution. The surfactant ratio, reaction temperature and time were controlled, and the stirring rate was changed. The samples were characterized by X-ray
 diffractometry (XRD), transmission electron microscopy (TEM), scanning electron microscopy (SEM), nitrogen adsorptiondesorption analyzer, and thermogravimetric analyzer (TGA). The results show that the particle size of the phenolic resin hollow nanosphere is 50—60 nm. The thickness of the shell is about 10 nm.The morphology of phenolic resin hollow microspheres are divided into singlechamber and multichamber. The particle size of the singlechamber hollow microsphere is 2—5 μm, and the particle size of the multichamber microhollow sphere can reach 10 μm. The thickness of the shell is about 500 nm. The spherical shells of two kinds of the phenolic resin hollow spheres have a multilayer periodic structure.

Using polyethylene adipate diethylene glycol diol with a molecular weight of 3 000 and isophorone diisocyanate, 1,4-butanediol, dimethylolpropionic acid as main raw materials, we first synthesized polyurethane prepolymers by acetone method, then dispersed and granulated by solution polymerization method to prepare onecomponent polyurethane powder adhesives (PPA). The effects of isocyanate index (R) on the properties of the polyurethane powder adhesives were inve
stigated by means of Fourier transform infrared spectrometer (FTIR), gel permeation chromatography (GPC), differential scanning calorimeter (DSC) and thermogravimetric analysis (TG), etc. The results show that with the increase ofR_total value of prepolymer, the molecular weight and the crystallinity of PPA are increased, the Tpeel strength and the thermal stability of PPA are enhanced. The prepared polyurethane powder adhesives meet the demands for industrial lowtemperature sizing.

Taking fermentation broth of fermentation process of L-isoleucine as the samples, using partial least square method, we investigated effects of two spectral acquisition methods, 7 spectral pretreatment methods and different spectral band selection on the accuracy of prediction models of 5 amino acids. By establishing the optimal spectral prediction model of the main and byproducts in the fermentation process of L-isoleucine, we determined the optimal spectral information acquisition method, spectral pretreatment method, spectral wavelength range and the number of factors of the model. The results show that the optimal prediction model of the spectrum obtained by reflection scanning is superior to that of transmission scanning. The correlation coefficients (Rc) of the optimal correction model of L-Ile, L-Ala, L-Glu, L-Leu and L-Thr are all greater than 0.96, the root mean square error of cross validation (RMSECV) are 1.760,0.462,0.430,0.259,0.199, and the residual predictive deviation (RPD) are 7.8,6.8,6.3,5.0,6.4, respectively. 
Therefore, the proposed near infrared spectroscopy is stable and feasible for rapid detection of various components in amino acid fermentation broth.

Using the Secale cereal L. (rye) as material, polyethylene glycol (PEG6000) was used to simulate drought stress, and three kinds of drought (mild, moderate and severe) with 5%（D1),10%(D2) and 15%(D3) and control group (CK) were set up, and the temperatures were 10,5,0,-5,0,5,10 ℃, we studied the effects of freezethaw and drought stress on the antioxidant enzyme activities and mass ratio of proline in seedlings. The results show that the superoxide dismutase (SOD) and peroxidase (POD) activities and mass ratio of proline of rye seedlings were increased under single drought stress. The SOD activity increased first and then decreased significantly, while the POD activity and mass ratio of proline  increased first and then decreased slowly under the combined stress. The enzyme activities and mass ratio of proline of different treatment groups reach the maximum at -5 ℃, and there is significant difference with other temperatures (P<0.05). The injured degree of seedlings caused by different stresses is combined stress>single drought stress>single freezethaw stress. The injured degree is severe drought+freeze-thaw>mild drought+freeze-thaw>single freeze-thaw>moderate drought+freeze-thaw under the combined stress treatments. The combined stress has a superimposed effect on plant damage, and a proper drought treatment can alleviate the physiological damage of freezethaw to the seedlings. Therefore, plants can alleviate the damage by improving antioxidant enzyme activity and osmotic adjustment substances under freezethaw and drought stress.