期刊：
Journal of Heterocyclic Chemistry,2009年46(2):256-260 ISSN：0022-152X
通讯作者：
Wang, Hong-Qing
作者机构：
[Wang, Yu-Yuan; Wang, Hong-Qing; Lin, Can-Rong] Univ S China, Coll Chem & Chem Engn, Hunan 421001, Peoples R China.;[Zhou, Wei-Ping] Univ S China, Coll Math & Phys, Hunan 421001, Peoples R China.;[Liu, Zhao-Jie] Cent China Normal Univ, Coll Chem, Minist Educ, Key Lab Pesticide & Chem Biol, Wuhan 430079, Peoples R China.
通讯机构：
[Wang, Hong-Qing] U;Univ S China, Coll Chem & Chem Engn, Hunan 421001, Peoples R China.
摘要：
A novel approach to regioselective synthesis of new 5‐amino‐6‐arylamino‐1H‐pyrazolo[3,4‐d]pyrimidin‐4(5H)‐one 5 derivatives via a tandem aza‐wittig and annulation reaction of iminophosphorance 2, aromatic isocyanates and hydrazine in 69.6–94.7% isolated yields is reported. The compound 5 reacted with triethyl orthoformate to give compound 6 in good yield (65.8–82.8%). Their structure was clearly confirmed by spectroscopy data (IR, 1H NMR, MS, elemental analysis) and the results of preliminary bioassay indicated that compounds 5 and 6 possess high antifungal activity against Botrytis cinerea Pers and Sclerotinia sclerotiorum, and compound 5h showed 100, 96.4, and 90.2% inhibitory rate to Botrytis cinerea Pers, Pyricularia oryzae, and Sclerotinia sclerotiorum at the concentration of 50 mg/L. The antifungal activities of compound 6 were generally higher than those of compound 5. J. Heterocyclic Chem., (2009).
作者：
Yin, Fu Qi;Zhou, Sheng Fan;Ouyang, Zi Gen;Xiao, Cui Hui*
期刊：
数学学报：英文版,2009年25(2):321-342 ISSN：1439-8516
通讯作者：
Xiao, Cui Hui
作者机构：
[Yin, Fu Qi; Xiao, Cui Hui] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China.;[Zhou, Sheng Fan] Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China.;[Ouyang, Zi Gen] Univ S China, Sch Math & Phys, Hengyang 421001, Peoples R China.
通讯机构：
[Xiao, Cui Hui] X;Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China.
期刊：
Applied Mathematics and Computation,2009年215(5):1806-1812 ISSN：0096-3003
通讯作者：
Liao, Xinyuan
作者机构：
[Liao, Xinyuan] Univ S China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.;[Tang, Xianhua] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China.;[Zhou, Shengfan] Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China.
通讯机构：
[Liao, Xinyuan] U;Univ S China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.
摘要：
In this paper, we consider the existence of insensitizing control for a semilinear heat equation involving gradient terms in unbounded domain Ω. In this case, we prove the existence of controls insensitizing the L2-norm of the observation of the solution in an open subset of the domain. The proofs of the main results in this paper involve such inequalities and rely on the study of these linear problems and appropriate fixed point arguments.
摘要：
In this work, we study a discrete-time multi-species ecological competition-predation system with several delays. By a new method of difference inequality, it is shown that the system is permanent under some appropriate conditions. Moreover, we give an example to illustrate the feasibility of our result. (c) 2007 Elsevier Ltd. All rights reserved.
摘要：
A nonautonomous N-species discrete Lotka-Volterra competitive system of difference equations with delays and feedback controls is considered. New sufficient conditions are obtained for the permanence of this discrete system. The results indicate that one can choose suitable controls to make the species coexistence in the long run. Moreover, we give some examples to illustrate the feasibility of our result which can be well suited for computational purposes. (C) 2006 Elsevier B.V. All rights reserved.
期刊：
SCIENCE IN CHINA SERIES A-MATHEMATICS,2008年51(8):1537-1548 ISSN：1006-9283
通讯作者：
Shu Shi
作者机构：
[Shu Shi; Zhong LiuQiang] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China.;[Shu Shi; Zhong LiuQiang] Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Peoples R China.;[Sun Dudu] Chinese Acad Sci, Grad Univ, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China.;[Tan Lin] Nanhua Univ, Dept Math Phys, Hengyang 421001, Peoples R China.
通讯机构：
[Shu Shi] X;Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China.
会议名称：
8th National Conference on Computational Mathematics
会议时间：
OCT 25-29, 2007
会议地点：
Sichuan Univ, Sichuan, PEOPLES R CHINA
会议主办单位：
[Zhong LiuQiang;Shu Shi] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China.^[Zhong LiuQiang;Shu Shi] Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Peoples R China.^[Sun Dudu] Chinese Acad Sci, Grad Univ, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China.^[Tan Lin] Nanhua Univ, Dept Math Phys, Hengyang 421001, Peoples R China.
关键词：
preconditioner;higher order edge finite element;stable decomposition
摘要：
In this paper, we are concerned with the fast solvers for higher order edge finite element discretizations of Maxwell’s equations. We present the preconditioners for the first family and second family of higher order Nédélec element equations, respectively. By combining the stable decompositions of two kinds of edge finite element spaces with the abstract theory of auxiliary space preconditioning, we prove that the corresponding condition numbers of our preconditioners are uniformly bounded on quasi-uniform grids. We also present some numerical experiments to demonstrate the theoretical results.
摘要：
This paper aims to show the existence of nontrivial solutions for discrete elliptic boundary value problems by using the "Mountain Pass Theorem". Some conditions are obtained for discrete elliptic boundary value problems to have at least two nontrivial solutions. The results obtained improve the consequences of the known literature [Guang Zhang, Existence of nontrivial solutions for discrete elliptic boundary value problems, Numer. Methods Partial Differential Equations 22 (6) (2006) 1479-1488]. (C) 2007 Elsevier Ltd. All rights reserved.
摘要：
Based on an equivalent resistance-capacitance (RC) network, we investigate theoretically the complex permittivity and microwave absorption properties of carbon nanotubes (CNTs)/polymer composite in the frequency range of 50 MHz-3 GHz using the logarithmic mixing rule. Both the real and imaginary parts of the permittivities of CNTs and polymer are considered in detail. The simulated results show that the real and imaginary permittivities of the composite increase explicitly with increasing volume fraction of CNTs, and the latter is more sensitive. The calculated complex permittivity spectra of the composite are in good agreement with the available experimental data. In addition, a good linear relationship between microwave absorbance and frequency is found. (C) 2008 Elsevier B.V. All rights reserved.
关键词：
single wall carbon nanotubes;composite;microwave;complex conductivity;complex permittivity
摘要：
Based on an equivalent resistance-capacitance network, the complex conductivity and the relative complex permittivity of single wall carbon nanotubes （SWNTs）/polymer composite are theoretically investigated in the frequency range of 0.30-18 GHz using the logarithmic rule. Both the real and imaginary parts of the permittivities of SWNTs and polymer are considered in detail. The calculated complex permittivity spectra of SWNTs/poly（ethyl methacrylate） composite films are in good agreement with the available experimental data. The influences of SWNTs concentration on both the complex conductivity and the dielectric loss tangent of the composite are presented in the microwave frequency range. A linear relationship between microwave conductivity and frequency is found.
