期刊：
Journal of Differential Equations,2009年247(9):2597-2619 ISSN：0022-0396
通讯作者：
Ou, Chunhua
作者机构：
[Ma, Manjun] Univ S China, Sch Math & Phys, Hengyang 421001, Peoples R China.;[Ou, Chunhua; Zhao, Xiao-Qiang] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada.;[Ma, Manjun] San Diego State Univ, Dept Math & Stat, Nonlinear Dynam Syst Grp, San Diego, CA 92182 USA.
通讯机构：
[Ou, Chunhua] M;Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada.
摘要：
We apply the perturbation method and the Implicit Function Theorem to study the persistence of periodic patterns for two perturbed general biological oscillators: one weakly coupled ordinary differential equation and one reaction-diffusion system. The proof relies also on the formal adjoint equation theory and the Lyapunov-Schmidt method. For the perturbed reaction-diffusion model, spatial-temporal patterns such as rotating waves are shown to exist. Numerical simulations are presented to illustrate our analytical results. (C) 2009 Elsevier Inc. All rights reserved.
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).
作者机构：
[陈文光] College of Electrical Engineering, University of South China, Hengyang 421001, China;[李云程] Hengyang Vacuum Electro-mechanical Equipment Ltd Co, Hengyang 421001, China;[饶益花] School of Mathematics and Physics, University of South China, Hengyang 421001, China
通讯机构：
College of Electrical Engineering, University of South China, China
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.
