国家自然科学基金(10831007)

作品数：6被引量：7H指数：2
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相关作者：张旭王鹏辉更多>>
相关机构：四川大学山东大学中国科学院数学与系统科学研究院更多>>
相关期刊：《Science China Mathematics》《Acta Mathematicae Applicatae Sinica》《Chinese Annals of Mathematics,Series B》《中国科学：数学》更多>>
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Necessary and Suffcient Conditions for Distinguishability of Linear Control Systems
《Acta Mathematicae Applicatae Sinica》2014年第2期473-482,共10页Hong-wei LOU Rong YANG 
Supported in part by the National Natural Science Foundation of China under Grant(No.61074047 and No.10831007);National Basic Research Program of China(973 Program)(No.2011CB808002)
Distinguishability plays a crucial rule in studying observability of hybrid system such as switched system. Recently, for two linear systems, Lou and Si gave a condition not only necessary but also sufficient to the d...
关键词：DISTINGUISHABILITY linear control systems necessary and sufficient condition 
Essentially normal Hilbert modules and K-homology IV:Quasi-homogenous quotient modules of Hardy module on the polydisks被引量：2
《Science China Mathematics》2012年第8期1613-1626,共14页GUO KunYu WANG PengHui 
supported by National Natural Science Foundation of China(Grant Nos.11101240and10831007);Laboratory of Mathematics for Nonlinear Science of Fudan University;Independent Innovation Foundation of Shandong University
In this paper,we give a complete characterization for the essential normality of quasi-homogenous quotient modules of the Hardy modules H2 (D2).Also,we show that if d 3,then all the principle homogenous quotient modul...
关键词：essential normality Hilbert modules POLYDISK quotient modules quasi-homogenous polynomial 
Range inclusion of operators on non-archimedean Banach space
《Science China Mathematics》2010年第12期3215-3224,共10页WANG PengHui 1 & ZHANG Xu 2,3 1 School of Mathematics, Shandong University, Jinan 250100, China 2 Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China 3 School of Mathematics, Sichuan University, Chengdu 610064, China 
supported by National Natural Science Foundation of China (Grant Nos.10831007, 60821091 and 60974035);National Basic Research Program of China (Grant No. 2011CB808002),Independent Innovation Foundation of Shandong University;the project MTM2008-03541 of the Spanish Ministry of Science and Innovation
In this paper, we establish some range inclusion theorems for non-archimedean Banach spaces over general valued fields. These theorems provide close relationship among range inclusion, majorization and factorization f...
关键词：RANGE INCLUSION majorization FACTORIZATION NON-ARCHIMEDEAN BANACH space continuous extension property 
非archimedean Banach空间上算子的值域包含定理 谨以此文致《中国科学》创刊六十周年
《中国科学：数学》2010年第12期1187-1196,共10页王鹏辉 张旭 
国家自然科学基金(批准号:10831007;60821091;60974035);山东大学自主创新项目;西班牙科技部基金(批准号:MTM2008-03541)资助项目
本文给出了几个关于一般赋值域上Banach空间上的算子的值域包含定理.这些定理说明:算子的值域包含、算子的强弱以及算子的分解之间有着重要的联系.我们发现,这些结果强烈地依赖于空间的连续延拓性质.在经典情况下,Hahn-Banach定理保证...
关键词：值域包含 算子的强弱 算子分解 非archimedean BANACH空间 连续延拓性质 
Energy Decay for the Cauchy Problem of the Linear Wave Equation of Variable Coeffcients with Dissipation被引量：5
《Chinese Annals of Mathematics,Series B》2010年第1期59-70,共12页Pengfei YAO 
supported by the National Natural Science Foundation of China (Nos.60225003,60821091,10831007,60774025);KJCX3-SYW-S01
Decay of the energy for the Cauchy problem of the wave equation of variable coefficients with a dissipation is considered. It is shown that whether a dissipation can be localized near infinity depends on the curvature...
关键词：Wave equation Riemannian metric Localized dissipation near infinity 
Null controllability for a fourth order parabolic equation
《Science in China(Series F)》2009年第11期2127-2132,共6页YU Hang 
Supported by the National Natural Science Foundation of China (Grant Nos. 10671040, 10831007, 10801041);the National Excellent Doctoral Dissertation of China (Grant No. 200522);the New Century Excellent Talents in University (Grant No. 06-0359)
In the paper, the null interior controllability for a fourth order parabolic equation is obtained. The method is based on Lebeau-Rabbiano inequality which is a quantitative unique continuation property for the sum of ...
关键词：fourth order parabolic equations null controllability Lebeau-Rabbiano inequality 
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