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Tuning of BixOyCl formation with sonication time during ultrasound-hydrothermal preparation
Zeqing Long,Guangming Zhang,Ting Wei,Lijun Niu,Jia Zhu,Jinwei Li 한국공업화학회 2020 Journal of Industrial and Engineering Chemistry Vol.84 No.-
Developing novel and visible-light drive photocatalysts is a hot topic, and bismuth oxychloride is one ofthe popular photocatalysts. In this paper, a series of bismuth oxychloride were synthesized by ultrasonic-hydrothermal method with different ultrasonic time. By simply changing the ultrasonic time, we cancontrol the morphology, structure, stoichiometry and photoelectric performance of bismuth oxychloride. The possible mechanism for the formation of BixOyCl photocatalysts involved the ultrasonic destructionof chemical bonds and increase of oxygen vacancy concentration, and the influence of ultrasonic on thepH during preparation. The sample of ultrasonic 30 min (U-30) showed the best photocatalytic activitydue to the suitable morphology, structure, photoelectric performance, the formation of theheterostructure, and the presence of oxygen vacancies. For the removal of Rhodamine B (/Ciprofloxacin),the reaction rate constant for U-30 was 10.4 (/3.6), 4.9 (/1.6), 6.9 (/4.8), and 9.3 (/2.3) times that of the U-0,U-10, U-20, and U-40, respectively. Photoluminescence spectra showed that the photogeneratedelectron-hole recombination rate decreased gradually with the ultrasonic time. Further, the possiblemechanism of photocatalytic process was investigated. This research provides a green, economical andsimple method to modify bismuth oxychloride.
ZHANG, FENGRONG,GAO, HAIYAN,LIU, ZEQING,KANG, SHIN MIN 한국전산응용수학회 2006 Journal of applied mathematics & informatics Vol.20 No.1
In this paper, we introduce a new class of completely generalized strongly nonlinear quasivariational inequalities and establish its equivalence with a class of fixed point problems by using the resolvent operator technique. Utilizing this equivalence, we develop a three-step iterative scheme with errors, obtain a few existence theorems of solutions for the completely generalized non-linear strongly quasivariational inequality involving relaxed monotone, relaxed Lipschitz, strongly monotone and generalized pseudocontractive mappings and prove some convergence and stability results of the sequence generated by the three-step iterative scheme with errors. Our results include several previously known results as special cases.
ON SOLVABILITY OF GENERALIZED NONLINEAR VARIATIONAL-LIKE INEQUALITIES
Zhang, Lili,Liu, Zeqing,Kang, Shin-Min Korean Mathematical Society 2008 대한수학회지 Vol.45 No.1
In this paper, we introduce and study a new class of generalized nonlinear variational-like inequalities. By employing the auxiliary principle technique we suggest an iterative algorithm to compute approximate solutions of the generalized nonlinear variational-like inequalities. We discuss the convergence of the iterative sequences generated by the algorithm in Banach spaces and prove the existence of solutions and convergence of the algorithm for the generalized nonlinear variational-like inequalities in Hilbert spaces, respectively. Our results extend, improve and unify several known results due to Ding, Liu et al, and Zeng, and others.
ITERATIVE SOLUTIONS TO NONLINEAR EQUATIONS OF THE ACCRETIVE TYPE IN BANACH SPACES
Liu, Zeqing,Zhang, Lili,Kang, Shin-Min The Youngnam Mathematical Society Korea 2001 East Asian mathematical journal Vol.17 No.2
In this paper, we prove that under certain conditions the Ishikawa iterative method with errors converges strongly to the unique solution of the nonlinear strongly accretive operator equation Tx=f. Related results deal with the solution of the equation x+Tx=f. Our results extend and improve the corresponding results of Liu, Childume, Childume-Osilike, Tan-Xu, Deng, Deng-Ding and others.
On Solvability of Generalized Nonlinear Variational-like Inequalities
Lili Zhang,Zeqing Liu,강신민 대한수학회 2008 대한수학회지 Vol.45 No.1
In this paper, we introduce and study a new class of generalized nonlinear variational-like inequalities. By employing the auxiliary principle technique we suggest an iterative algorithm to compute approximate solutions of the generalized nonlinear variational-like inequalities. We discuss the convergence of the iterative sequences generated by the algorithm in Banach spaces and prove the existence of solutions and convergence of the algorithm for the generalized nonlinear variational-like inequalities in Hilbert spaces, respectively. Our results extend, improve and unify several known results due to Ding, Liu et al, and Zeng, and others. In this paper, we introduce and study a new class of generalized nonlinear variational-like inequalities. By employing the auxiliary principle technique we suggest an iterative algorithm to compute approximate solutions of the generalized nonlinear variational-like inequalities. We discuss the convergence of the iterative sequences generated by the algorithm in Banach spaces and prove the existence of solutions and convergence of the algorithm for the generalized nonlinear variational-like inequalities in Hilbert spaces, respectively. Our results extend, improve and unify several known results due to Ding, Liu et al, and Zeng, and others.
Uncountably many solutions of a third order nonlinear difference equation with neutral delay
Liu, Zeqing,Zhang , Xiaoying,Ume, Jeong Sheok,Kang, Shin Min International Scientific Research Publications MY 2016 The journal of nonlinear science and applications Vol.9 No.6
<P>In this paper, by using the Schauder fixed point theorem, Krasnoselskii fixed point theorem and some new techniques, we obtain the existence of uncountably many solutions for a third order nonlinear difference equation with neutral delay of the form Delta(a(n, x(a1n), x(a2n),... x(arn))Delta(2)(x(n) + b(n)x(n-tau))) + Delta h(n, x(h1n), x(h2n),....,x(hkn)) + f(n, x(f1n), x(f2n),..., x(fkn)) = c(n), n >= n(0) The results presented improve and generalize some results in literatures. Seven examples are given to illustrate the results presented in this paper. (C) 2016 All rights reserved.</P>
( Weiwei Lin ),( Chaofan Yang ),( Zeqing Zhang ),( Xingsi Xue ),( Reiko Haga ) 한국인터넷정보학회 2021 KSII Transactions on Internet and Information Syst Vol.15 No.12
Because the traditional network information security vulnerability risk assessment method does not set the weight, it is easy for security personnel to fail to evaluate the value of information security vulnerability risk according to the calculation value of network centrality, resulting in poor evaluation effect. Therefore, based on the network security data element feature system, this study designed a quantitative assessment method of network information security vulnerability detection risk under single transmission state. In the case of single transmission state, the multi-dimensional analysis of network information security vulnerability is carried out by using the analysis model. On this basis, the weight is set, and the intrinsic attribute value of information security vulnerability is quantified by using the qualitative method. In order to comprehensively evaluate information security vulnerability, the efficacy coefficient method is used to transform information security vulnerability associated risk, and the information security vulnerability risk value is obtained, so as to realize the quantitative evaluation of network information security vulnerability detection under single transmission state. The calculated values of network centrality of the traditional method and the proposed method are tested respectively, and the evaluation of the two methods is evaluated according to the calculated results. The experimental results show that the proposed method can be used to calculate the network centrality value in the complex information security vulnerability space network, and the output evaluation result has a high signal-to-noise ratio, and the evaluation effect is obviously better than the traditional method.