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复合g-收缩映射不动点定理及其应用 被引量:1
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作者 云天铨 《应用数学和力学》 CSCD 北大核心 2001年第10期1022-1028,共7页
任一几何平均收缩比率小于 1(简称g_收缩映射 )的由完备的非空度量空间 M到M的复合序列映射 ,复合周期映射有在M中的唯一的不动点 · 文中给出定理应用于一组非线性微分方程以及扁壳轴对称弯曲的耦合的积分方程的解的存在和唯一性... 任一几何平均收缩比率小于 1(简称g_收缩映射 )的由完备的非空度量空间 M到M的复合序列映射 ,复合周期映射有在M中的唯一的不动点 · 文中给出定理应用于一组非线性微分方程以及扁壳轴对称弯曲的耦合的积分方程的解的存在和唯一性证明的应用例子· 展开更多
关键词 收缩映射 g-收缩映射 Banach收缩映射定理 泛函关系 迭代法 微分方程 积分方程 不动点定理
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Application of PCA and HCA to the Structure-Activity Relationship Study of Fluoroquinolones 被引量:2
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作者 李小红 张现周 +2 位作者 程新路 杨向东 朱遵略 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 北大核心 2006年第2期143-148,共6页
Density functional theory (DFT) was used to calculate molecular descriptors (properties) for 12 fluoro-quinolone with anti-S.pneumoniae activity. Principal component analysis (PCA) and hierarchical cluster analy... Density functional theory (DFT) was used to calculate molecular descriptors (properties) for 12 fluoro-quinolone with anti-S.pneumoniae activity. Principal component analysis (PCA) and hierarchical cluster analysis (HCA) were employed to reduce dimensionality and investigate in which variables should be more effective for classifying fluoroquinolones according to their degree of an-S.pneumoniae activity. The PCA results showed that the variables ELUMO, Q3, Q5, QA, logP, MR, VOL and △EHL of these compounds were responsible for the anti-S.pneumoniae activity. The HCA results were similar to those obtained with PCA.The methodologies of PCA and HCA provide a reliable rule for classifying new fluoroquinolones with antiS.pneumoniae activity. By using the chemometric results, 6 synthetic compounds were analyzed through the PCA and HCA and two of them are proposed as active molecules with anti-S.pneumoniae, which is consistent with the results of clinic experiments. 展开更多
关键词 Structure-activity relationship Density functional theory Principal component analysis Hierarchical cluster analysis
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Electronic Structures, DNA-binding, SAR, and Spectral Properties of Ruthenium Methylimidazole Complexes [Ru(MeIm)4L]^2+(L=iip,tip,2ntz) 被引量:1
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作者 李国栋 陈兰美 +3 位作者 王忻宇 巫玲凤 揭新明 陈锦灿 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 2014年第2期159-167,I0003,共10页
Theoretical studies on the electronic and geometric structures, the trend in DNA-binding affinities as well as the the structure-activity relationship (SAR) of a series of water-soluble Ru(II) methylimidazole comp... Theoretical studies on the electronic and geometric structures, the trend in DNA-binding affinities as well as the the structure-activity relationship (SAR) of a series of water-soluble Ru(II) methylimidazole complexes, i.e. [Ru(Mehn)4iip]^2+ (1) (MeIm=l-methylimidazole, iip=2-(1H-imidazo-4-group)-lH-imidazo[n,5-f][1,10]phenanthroline), [Ru(MeIm)4tip]^2+ (2) (tip=2-(thiophene-2-group)-lH-imidazo[4,5-f] [i,10]phenanthroline), and [Ru(Melm)42ntz]^2+ (3) (2ntz=2-(2-nitro-l,3-thiazole-5-group)-lH-imidazo[4,5-f][1,10]phenanthroline), were car- ried out using the density functional theory (DFT). The electronic structures of these Ru(II) complexes were analyzed on the basis of their geometric structures optimized in aqueous solution, and the trend in the DNA-binding constants (Kb) was reasonably explained. The results show that the replacement of imidazole ligand by thiophene ligand can effectively improve the DNA-binding affinity of the complex. Meanwhile, it was found that introduc- ing the stronger electronegative N atom and NO2 group on terminal loop of intercalative ligand can obviously reduce the complex's LUMO and HOMO-LUMO gap energies. Based on these findings, the designed complex [Ru(MeIm)42ntz]^2+ (3) can be expected to have the greatest Kb value in complexes 1-3. In addition, the structure-activity relationships and antitumor mechanism were also carefully discussed, and the antimetastatic activity of the designed complex 3 was predicted. Finally, the electronic absorption spectra of this series of complexes in aqueous solution were calculated, simulated and assigned using DFT/TDDFT methods as well as conductor-like polarizable continuum model (CPCM), and were in good agreement with the experimental results. 展开更多
关键词 Ruthenium methylimidazole complex DNA-BINDING Structure-activity rela- tionships Spectral property DFT calculation
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NEW DELAY-DEPENDENT STABILITY CRITERIA AND ROBUST CONTROL OF NONLINEAR TIME-DELAY SYSTEMS 被引量:2
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作者 YANG Renming WANG Yuzhen 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2014年第5期883-898,共16页
This paper investigates the stability analysis and H_∞ control for a class of nonlinear timedelay systems,and proposes a number of new results.Firstly,an equivalent form is given for this class of systems by means of... This paper investigates the stability analysis and H_∞ control for a class of nonlinear timedelay systems,and proposes a number of new results.Firstly,an equivalent form is given for this class of systems by means of coordinate transformation and orthogonal decomposition of vector fields.Then,based on the equivalent form,some delay-dependent results are derived for the stability analysis of the systems by constructing a novel Lyapunov functional.Thirdly,the authors use the equivalent form and the obtained stability results to investigate the H_∞ control problem for a class of nonhnear time-delay control systems,and present a control design procedure.Finally,an illustrative example is given to show the effectiveness of the results obtained in this paper.It is shown that the main results of this paper are easier to check than some existing ones,and have less conservatism. 展开更多
关键词 Coordinate transformation equivalent form H_∞ control nonlinear time-delay systems stability
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