The paper concerns with fractional variational problems in terms of the Riemann-Liouville fractional derivative. First, for such kinds of fractional variational calculus, we prove a counterpart of the Du Bois-Reymond lemma in the classical calculus of variations. Then, this result is applied to establish the Euler necessary conditions on fractional variational functionals. Finally, we discuss the global minimum problems and obtain some sufficient and necessary conditions on the existence of global minimum.

The notion hypergroup raised by Wall is an important algebraic structure，it has a great number of important applications in theoretical physics including quantum mechanics and string theory, thus this kind of upgrading of mathematical structure has caused wide concern over the recent years. With the help of this method based on a collection of ideas and promotion, this paper researches the hypergroup based on physical application background, special M hypergroup with nuclear non empty, gives the corresponding structure, and proves a series results of M hypergroup between its subhypergroup and its nuclear.

The paper puts Marx reproduction theory as a framework, and based on the two categories equilibrium, it establishes a relevant model of employment and price in the condition of equilibrium.The relationship between employment and price depends on the income elasticity,price elasticity,income elasticity of capital.Research shows that,when the employment capital elasticity is more than income capital elasticity×price income elasticity,price growth is positively correlated with employment growth,when the employment capital elasticity is less than income capital elasticity× price income elasticity,the rate of inflation rate is negatively correlated with employment growth.

We study the long-time behaviour with a periodical boundary condition of the dissipative Hirota-Satsuma equation. By using the Sobolev interpolation inequality and energy estimation and time consistent estimate, we get the global solution for the equation. Lastly, by using operator embedding theorem we have the global attractor.

In this paper, Fabry-Pérot laser diode (FP-LD) based pulse generation with wavelength continuously tunable is demonstrated. Two topics are focused including ① a self-seeding system for continuous and widely wavelength-tunable optical short pulse generation. The side mode suppression ratio (SMSR) of greater than 37 dB is achieved across the wavelength range of 48 nm, at a constant repetition frequency of 2.5 GHz; ②an external-injection seeding scheme with selected wavelength feedback to the master FP laser diode for wavelength tunable optical short pulse generation. SMSR higher than 31 dB over a wavelength tuning range of 20.4 nm have been obtained. The system is simple, and can be operated at arbitrary repetition frequency.

A new method for vinegar identification based on cataluminescence was established in the present research. It is easy to operate without any sample preparation. In a closed reaction cell, at an optimal injection volume of 10 μL, reaction temperature of 290 ℃ and detection wavelength of 400 nm, the unique luminescent response profiles of 13 different vinegars on nano-MgO surfaces were gained. The results show that vinegars of different types can be distinguished by the peak time, peak height, peak number and peak shape of their unique response profiles. The luminosity curve changes greatly when vinegars are synthesized by ourselves or adulterated with water. Results show that fingerprint database can be established by the unique luminescent response profiles of vinegars, we believe that it has great potential for authentication and quality control.

In this study, organosilicon esterquats surfactant was synthesized by esterification of stearic acid and N-methyl diethanolamin, and then followed by quaternization with γ-chloropropyl methyl dimethoxysilane. Properties of softening, foaming, rewettability, whiteness, antistatic, and pH stability were mainly studied, which is providing the foundation for its application.

The genetic diversity of Disanthus cercidifolius var. longipes from five wild populations in Nanling was studied by means of ISSR markers, in order to provide theoretical basis for the protection and sustainable utilization of the endangered plant. Eight ISSR primers gave rise to 101 discernible bands, of which 64(63.37%) were polymorphic. The total Nei‘s genetic diversity index was 0.285 9, genetic diversity within populations (H_s) was 0.274 1, indicating a relatively lower genetic variation at the species level. At the population level, the percentage of polymorphic bands were 60%~75%, Nei‘s genetic diversity index were 0.269 5~0.282 4, Shannon‘s information index were 0.384 5~0.399 9. Daoxian population and Mangshan population had higher genetic diversity levels. Genetic differentiation among populations was 0.041 4, indicating a large proportion of genetic diversity (95.86%) was resided among individuals within populations. The UPGMA cluster analysis showed that the five populations were not basically clustered according to their geographic distances, it was surprising that the two Lianzhou populations (LZX and LXD) clustered firstly with Jinggangshan population (JGS), the reason should be explored further.

In view of the limitations of current seismic performance assessment methods and the seismic design specifications, a modified modal cyclic pushover (MMCP) analysis is introduced in this paper for damage assessment in the arch bridge structure by using Ghobarah implicit two-parameter indicator. The finite element (FE) models of three different rigid frame arch structures (span of arch ribs is 5.4 m) are established, in which the piers are reinforced, steel and concrete, respectively. The lateral force which is distributed as inverted triangle is added on the three arc structure FE models and MMCP analysis as well as the dynamic analysis process are performed to analyze three earthquake waves including OBG, SFS, TAR, to obtain the vertex displacement, hysteretic energy, and damage indicators curves. The results show that: ①MMCP can be applied in seismic performance evaluation of arch structures; ②MMCP can predict the overall damage situation of arc structures accurately; ③MMCP can be related to the design response spectrum of bridge specifications, indicating that to a certain extent, the assessment results own universality and safety.

This paper presents the comparisons and analyses of seismic responses of three frame structures equipped with common stairs, energy-dissipated stairs and sliding stairs under rarely-occurred earthquake. The analysis results indicate that: ①the energy-dissipated stairs can weaken the equivalent strong support effect of common stairs along stair-board direction; ②compared with the common stairs structure, the structure of incorporate energy-dissipated stairs is of decreased storey shear forces, along with the similar inter-storey drifts and top displacements in X direction, while universally reduced storey shear forces, inter-storey drifts and top displacements in Y direction; however, compared with sliding stairs structure, the structure of incorporate energy-dissipated stairs is of the approximately same storey shear forces, as well as the decreased inter-storey drifts and top displacements both in X direction and Y direction; ③the energy-dissipated stairs structure has less damage in stairs components than the common stairs structure and sliding stairs structure.

According to the application of the Internet technology development and the domestic and foreign research of energy consumption acquisition technology, this paper introduces a kind of control system of distributed energy acquisition based on Internet of Things,which includes the designe of hardware and software. Using distributed data processing and multi-stage hardware architecture system which consists of data acquisition control node, data concentrator, front of data processor, a distributed real-time data processing system is obtained to achieve rapid, real-time data processing system. This system collects the energy consumption data of the campus, passes the data to the regulatory platform, and through the platform analyze all kinds of energy consumption data statistics,provides reasonable optimization scheme to the implementation of the decision-makers, provides the basis for lower campus energy consumption level, saving the cost control.

Through the static experiments, the effects of time, pH value, initial concentration of uranium, dosage of apatite on removal of uranium by natural apatite were studied analytically in this paper. In accordance with analysis of infrared spectroscopy, scanning electron microscopy and X ray diffraction, the mechanism of removal of uranium by apatite was discussed. The results show that the removal of apatite, detergent quality of uranium increases with the initial concentration of uranium. When the pH was 3~4 and the apatite content was 1.0 g, the removal ratio was the highest, which could reach as high as 80%. The reaction reached balance in the 120 min with two order kinetics equation. XRD showed apatite was mainly composed of Ca₅H₂(PO₄)₃F, Ca₈H₂(PO₄)₆·H₂O. Scanning electron microscope analysis showed that the appearance of apatite did not change in the process of uranium removal. The uptake mechanism of uranium by apatite is mainly adsorption and ion exchange

Tourism Economy Disparity is an important part of regional economy disparity and it has been attracting more and more attention of the researchers in recent years.The correct analysis of the regional disparity in the process of the development of tourism economy can recognize the reality situation of tourism economy development. It will benefit the regional tourism economic development in right direction. Choosing Guangdong Province as the research object, we used multiple mathematical statistics analysis methods to systematically analyze space disparity of tourism economy development in Guangdong Province. The results show that regional absolute disparity is expanding year by year and the relative disparity is decreasing slowly in Guangdong Province.The contribution rate of Pearl River Delta for the total disparity is increasing year by year,and the contribution rate of eastern,western and northern regions in Guangdong Province is slowing down; disparities of the tourism economy development between Pearl River Delta and eastern,western and northern regions in Guangdong Province are enlarging gradually. On this basis,in order to reduce the regional disparity of tourism economy of different regions,this paper puts forward the countermeasures and advices of coordinated development of tourism economy,hoping to improve the management of tourist resources in different regions.

As a regional characteristic economic form, specialized town has formed a certain scale in Guangdong Province, and becomes an important economic pillar in Western Guangdong Province. With the use of GIS tools, the point-axis gradual diffusion theory of Lu Dadao and the mode of Friedman Regional Evolution Theory, this paper reorganizes the spatial evolution process of specialized town in Western Guangdong Province, which starts from the agglomeration and the diffusion of spatial element and finally divides into four stages, early bud, early development, diffusion medium and sector development to analyze the formation mechanism and the mode of spatial evolution. The result shows that fully exploiting predominant geographic position and traffic conditions, specialized town develops economy very well, which shows a straight line or a cross-shaped distribution in the early bud, and gradually forms a square or a triangle evolution mode by integration of local resources and the guidance and promotion of government, and with the further diffusion development, ultimately comes into being the mode of sector development,and the sector showing two trends including outward expansion and toward centralization.

The purpose of this study is to explore the ethical leadership effect of subordinates working engagement and the intermediary role of trust in the leader. By using questionnaire survey method, 569 teachers of primary and middle schools were investigated. The results indicate that: ①ethical leadership significantly correlated to working engagement; ②ethical leadership significantly correlated to trust in leader; ③ethical leadership and trust in leader can significantly predict teachers working engagement; ④trust in leader serves as mediating variable between ethical leadership and working engagement.