In the current work, we study a Cauchy problem for a time-fractional pseudo-parabolic equation with a globally Lipschitz source term. We prove the unique existence of a mild solution to the problem, by the common Banach fixed point theorem. This solution is then verified that exists globally in time by Gr¨onwall’s inequality. Compare to previous works about the similar issuse, we approach in a way that does not require using weighted spaces. Although our approach share a similar spirit to previous studies, our method seems to be more precise and natural.

In this paper, we consider the Dirichlet problem for a wave equation of Kirchhoff- Carrier type with a nonlinear viscoelastic term. It consists of two main parts. In Part 1, we establish existence and uniqueness of a weak solution by applying the Faedo- Galerkin method and the standard arguments of density corresponding to the regularity of initial conditions. In Part 2, we give a sufficient condition for the global existence and exponential decay of the weak solutions by defining a modified energy functional together with the technique of Lyapunov functional.

The report deals with the Robin problem for a nonlinear wave equation with viscoelastic term. Under some suitable conditions, we establish a high-order iterative scheme and then prove that the scheme converges to the weak solution of the original problem along with the error estimate. This result extends the result in [9].

In this paper, we study the Robin-Dirchlet problem (Pn) for a wave equation with the term 1 n Xn i=1 u2( i−1 n , t), n ∈ N. First, for each n ∈ N, under suitable conditions, we prove the local existence and uniqueness of the weak solution un of (Pn). Next, we prove that the sequence of solutions un of (Pn) converges strongly in appropriate spaces to the weak solution u of the problem (P), where (P) is defined by (Pn) by replacing 1 n Xn i=1 u2( i−1 n , t) by Z 1 0 u2(y, t)dy. The main tools used here are the linearization method together with the Faedo-Galerkin method and the weak compact method. We end the paper with a remark related to a similar problem.

In this paper, we consider the Dirichlet boundary problem for a nonlinear wave equation of Kirchhoff-Carrier-Love type as follow   utt − B ? ∥u(t)∥2 , ∥ux(t)∥2
(uxx + uxxtt) = f(x, t, u, ux, ut, uxt) + Xp i=1 εifi(x, t, u, ux, ut, uxt) for 0 < x < 1, 0 < t < T, u(0, t) = u(1, t) = 0, u(x, 0) = ˜u0(x), ut(x, 0) = ˜u1(x), (1) where ˜u0, ˜u1, B, f, fi (i = 1, · · · , p) are given functions, ε1, · · · , εp are small parameters and ∥u(t)∥2 = Z 1 0 u2 (x, t) dx, ∥ux(t)∥2 = Z 1 0 u2 x (x, t) dx. First, a declaration of the existence and uniqueness of solutions provided by the linearly approximate technique and the Faedo-Galerkin method is presented. Then, by using Taylor’s expansion for the functions B, f, fi, i = 1, · · · , p, up to (N + 1)th order, we establish a high-order asymptotic expansion of solutions in the small parameters ε1, · · · , εp.

In this paper, we are interested in the problem of determining the source function forthe Sobolev equation with fractional Laplacian. This problem is non-well-posed. We show theerror estimate between the exact solution and the regularized solution with the observed data in Lb spaces.

In this work, we study the problem of finding the source function of the inhomogeneous diffusion equations with conformable derivative c∂α t u−Δu = f(x), 0 < α < 1, associate with random noisy input data. This problem is ill-posed in the sense of Hadamard. In order to regulate the instablity of the solution, we applied the truncation method and estimated the error estimate between the exact solution and the regularized solution.

Enzymes are biodegradable catalysts naturally present in living organisms. Enzymes can accelerate biochemical reactions by reducing the activation energy, and they are not consumed during reaction processes. Numerous applications of enzymes have been developed in biotechnology, industry, medicine, pharmaceuticals, food processing, biofuels, and so on. In this study, we develop a mathematical model describing enzymatic reactions with a Ping-Pong mechanism and competitive substrate inhibition. In order to obtain insights into the model behaviors, we use Python software to obtain numerical solutions for the model. Some discussions on the numerical results is provided. Finally, we briefly discuss a potential application of the model and some future work.

In this paper, a high-order iterative scheme is established in order to get a convergent sequence at a rate of order N, (N ≥ 2) to a local unique weak solution of a nonlinear Kirchhoff-type wave equation associated with Robin conditions.

This report presents the process of conserving, restoring scientific works, as well as ensuring the method and principle of conservation. Besides, because there are many reasons, the restoration of the relic is not currently carried out in accordance with the current regulations and there are some mistakes in the conservation and restoration of the relic. Therefore, understanding the restoration process is the core scientific basis for proposing effective conservation projects and solutions. Moreover, the content of report provides more the materials, and scientific foundations for conservation and restoration of the relic as follows: - Understand the valuable aspects of the Ngo Mon relic; - Help conservationists grasp some methods to identify the relic including analysing history, and construction schedule of the work; analysing actual state (architecture, materials, fine arts...); analysing documentary photos; analysing similar works. - Support people who work in management, project planning, construction of the relics grasp the order, process, regime, and policy of the State when implementing a project to conserve and restore more professionalism.

In this paper, we consider initial value problems for nonlinear fractional equations where source functions may discontinuous. We obtain the existence and uniqueness of maximal mild solutions of the problem. We also give some appropriate conditions such that mild solutions of the problem blow-up at a finite time. Furthermore, we discuss the continuous dependence of mild solutions of the problem with respect to fractional order.

Recognized as a smart city, Binh Duong's smart city development strategy also includes the development of automated agriculture, typically large-scale livestock farming. A sustainable urban development will not be able to ignore the factor of providing food for urban and regional people. Phu Giao district - Binh Duong province is one of the leading districts in livestock farming, especially concentrated pig farming. The agricultural industry, pigs breeding, is one of the strengths of the district, besides the cultivation of short and long-term industrial crops such as rubber, cashew, Ho Tieu... Livestock is a very old profession of the Vietnamese people in Phu Giao district as well as in Binh Duong province. The contribution of livestock production to the socio-economic face of the district cannot be denied. However, animal husbandry activities, besides the economic values, also cause some consequences to the natural environment such as soil and water pollution, noise, odors in the air, etc. Hence, we decided to do the research of "Application of ISO 14001:2015 international standards in determination of environmental aspects at market hog farm with semiautomatic technology farm size 12,000 pigs per year in Phu Giao district, Binh Duong province" (TCVN ISO, 2015). This is a large-scale pig farm with modern semi-automatic technology equipment. We expect to find out environmental issues in the most detailed and specific way so that the owner can overcome the above environmental problems, rest assured to raise livestock and develop more expansion later. We conducted a review of the areas on the farm, evaluated the activities in each area, from which we found out the environmental problems through the material flow diagram (Phạm Thị Hồng Cẩm, 2020). Next, through the multi-criteria method (Phạm Thị Hồng Cẩm, 2020) we calculated the score and found the most significant environmental aspects (most environmental risk). The research results will be a general picture to provide farm owners with an intuitive and easy-to-understand view for suitable solutions. Developing farm economy along with environmental protection towards sustainable development of livestock agriculture.

In this paper, we establish compactness and continuous dependence on parameters for solution-set of the second order differential inclusion including self-adjoint operator in the form \begin{align*} \left\{ \begin{gathered} \frac{\partial^2}{\partial t^2} u(t,x) +2\mathcal{A} \frac{\partial}{\partial t}u(t,x)+\mathcal{A}^{2} u(t,x) \in F(t,u(t),\mu),\,\, \hfill (t,x)\in [0,T)\times\Omega \\ u(0,x)=\frac{\partial }{\partial t}u(0,x)=0, \,\, \hfill x \in \Omega, \\ %u(T,x) = h(x), \,\, \hfill x\in\Omega, \end{gathered}\right. %\label{MainProblem} \end{align*} where $\mathcal A$ is a self-adjoint operator. We use the spectral theory on Hilbert spaces to obtain formulation for mild solutions. Using the mild solution formula together with a measure of non-compactness with values in an ordered space, we construct useful bounds for solution operators. Then, we establish necessarily upper semi-continuous and condensing settings, which mainly help to obtain the global existence of mild solutions and the compactness of the mild solution set. Finally, we provide a brief discussion on the continuous dependence of the solution-set on parameter $\mu$.

This paper is devoted to study a fractional equation involving Caputo-Katugampola derivative with nonlocal initial condition. Unlike previous papers, in this paper, the source function of problem is assumed having a singularity. We propose some reasonable conditions such that the problem has at least one mild solution or has a unique mild solution. The desired results are proved by using the Banach, Leray-Schauder and Krasnoselskii fixed point theorems. Some examples are given to confirm our theoretical findings. Keywords: Caputo-Katugampola fractional derivative; Nonlinear integral equations; existence 2010 MSC: 26A33; 35A01; 35A02; 35R11

Vegetables are the major source of dietary nitrate, with wide variations in nitrate content. The presence of nitrate in vegetables is often associated with harmful effects on human health. The study investigated nitrate of vegetables in Phu My ward, Hiep An ward, Tuong Binh Hiep ward, Thu Dau Mot city, Binh Duong province in 2020 by UV-VIS for determining of nitrat concentration, measurement wavelength of 410 nm. The vegetable samples were collected in the fields according to method of TCVN 9016:2011 and the nitrate contents were determinated according to method of TCVN 8742:2011 (Vietnam Ministry of Sciences and Technology, 2011). The results showed that there were 3 fresh spinach samples, 3 bok choy samples, contained the nitrate contents exceeded the regulations according to the regulations of nitrate contents in vegetables in the decisions of world health organization site (WHO). These results warn the farmers and policy administers of Thu Dau Mot city to give the solutions of nitrate-content controling in vegetables producing in Binh Duong.

Abstract: The article is based on data from the research program "Greater Mekong Subregion Flood and Drought Risk Management and Mitigation Project (ADB-GMS1)" jointly implemented by the Asian Development Bank (ADB) and the Ministry of Agriculture and Rural Development, and the Vietnam Institute of Water Resourches Research in Tien Giang and Dong Thap province. The results show that, in recent years, due to the increasingly severe global climate change, the intensity of various types of natural disasters occurs more frequently, irregularly and with greater intensity. This has greatly affected the production, daily life and properties of the people in the vulnerable areas. To reduce the impact of various types of disasters on people living in vulnerable areas, it is necessary to combine two types of solutions in disaster prevention, namely construction solutions and non- construction solutions. In which, non-construction solutions play a very important role, namely, people living in communities are considered as the main actors in preventing and mitigating disaster risks occurring in the community.

In the context of economic integration along with the development of industrial parks, enterprises are always innovating modern and advanced technology, improve the quality of products of enterprises to increase competitiveness in international economic integration. This study assesses the progress of completion, the inadequacies after applying the drawing management process in iso room age Vietnam and the management storage regulations of the enterprise, thereby making flawed comments and propose solutions in the management process after being put into practice at the company. Use interdisciplinary research methods of archiving, drawing records, survey results and speaks to the importance of managing and storing drawings in the mechanical engineering industry.showing the level of completion and outstanding shortcomings of the process. The survey results provide the basis for the shortcomings, which need to be improved in the process and thorough remedies to improve the quality of technical drawing management process

High power losses are a great concern in operating electric distribution system. Reconfiguration is one of the most economic approaches for reducing power losses of the system. This study suggests a technique for dealing with the distribution system reconfiguration problem based on a water cycle algorithm for minimizing active power loss. The water cycle algorithm is a recently developed metaheuristic algorithm that inspired the process of water circulation for solving optimization problems. The effectiveness and performance of the water cycle algorithm were tested on the 33-node and 69-node systems. The water cycle algorithm was applied to determine the best configuration of the distribution system for active power loss minimization. The results yielded by the water cycle algorithm were compared with other optimization algorithms in the literature and the comparisons showed that the water cycle algorithm obtained good quality of solution for the problem. Therefore, the water cycle algorithm is the potential method for the distribution system reconfiguration problem.

The process of industrialization, modernization and the rapid development of industrial revolution 4.0 are creating new development opportunities for the Southeast in general and Binh Duong in particular, but also setting many challenges. In order to take advantage of opportunities and overcome challenges, the role of the contingent of intellectuals in Binh Duong province is huge. Through the assessment of the current status of the development of the intellectual contingent of Binh Duong province, the article proposes basic views and major solutions to continue developing this team in the future to meet the requirements of industrialization and modernization of the country.

Traditional fossil energy sources are increasingly exhausted, leading to the need for mankind to exploit alternative energy sources; and solar energy can be viewed as infinite. Solar photovoltaic and its applications are increasingly widely studied. However, due to its nonlinearity and unstable nature, high technology is required to achieve good conversion efficiency. One of the techniques to optimize solar cell efficiency is to use the Maximum Power Point Tracking algorithm (MPPT) and P&O is a relatively easy algorithm to implement. This article will present some problems about photovoltaic cells, power converters in solar power systems and using PSIM software to simulate an independent solar system with several harvesting solutions for solar power and compare the efficiency of them.

Heavy metal pollution is a major problems in the environment. The impact of toxic metal ions can be minimized by different technologies, viz., chemical precipitation, membrane filtration, oxidation, reverse osmosis, flotation and adsorption. But among them, adsorption was found to be very efficient and common due to the low concentration of metal uptake and economically feasible properties. In this review paper, Fe–Mn binary oxide incorporated into diatomite (Fe/Mn-diatomite) was prepared by a simple coating method , and removal of Cu(II) from aqueous solutions. The effects of three independent variables including initial ion concentration, removal time, and adsorbent dosage were investigated on the maximum adsorption of Cu (II). The optimum conditions for the adsorption of Cu(II) was obtained: 75 ppm of initial ion concentration, 150 min of removal time and 1.5 g/l of adsorbent. The maximum removal efficiencies of Cu(II) was obtained 86.25%. The results showed that Fe/Mn-diatomite was apable of treating copper metal in wastewater.

In urban development, urbanization is an important and decisive process of transformation. In the current globalization period, the urbanization of cities around the world is strongly influenced by the foreign direct investment (FDI). It is considered an important catalyst for economic growth. This paper aims to analyze the effect of FDI on sustainable urbanization in Binh Duong province by utilizing the time series data throughout 2000 - 2018, expressed through statistical and analytical methods. The research results show that FDI contributes to promoting economic, social and urban development in Binh Duong province, but it still has some limitations. The research results are also the basis for researchers and policy makers to develop orientations to attract, use and manage FDI, proposing solutions to improve the efficiency of it to urbanization in a sustainable way in Binh Duong province in the future.

SARSCOV-2 virus and new strains have been spreading in most countries and regions around the world, the COVID-19 epidemic it causes has infected millions of people, the urgent need is to prevent their spread. On the market there are many types of hand wash equipment automatically spray disinfectant solution used with many different sensors and operating principles, but most are still using AC power. In this topic, we design automatic hand washing equipment by applying the transmitter and receiver principle of the moving infrared sensor circuit and delay relay circuit to detect someone appearing in the observation area, click activating the MP3 reader circuit plays the “5K” propaganda sound about Covid -19 disease prevention and the position sensor activates the mini-pump to spray the hand-washing gel within a certain detecting distance. We have conducted experiments and completed our projects with devices that use energy from solar cells, through charging circuits and storage batteries with the goal of using renewable energy, minimizing impact of the greenhouse effect.

The wastewater treatment plant is an extremely important infrastructure to ensure the quality of life, water use of human life, and other ways to ensure water quality for the natural environment. In the operation of it, there are always potential hazards affecting the health of the workers working in the factory. The study was performed using the Semi-quantitative risk assessment method to calculate the values of operational risks in the water treatment plant (WWP). The results of the study obtained 18 high potential hazards that may lead to the present in the water treatment process. The hazards were the leakage of deodorizing towers and the generation of toxic emissions of dead microorganisms that have the highest value with a risk scale of 20 points- frequent impacts on employees. The study has also identified the dangers present in WWP and this will be the premise for mitigating solutions for problems occurring at its.