国家自然科学基金(11101200)

作品数:5被引量:7H指数:1
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相关作者:吴德玉更多>>
相关机构:内蒙古大学更多>>
相关期刊:《Science China Mathematics》《Applied Mathematics and Mechanics(English Edition)》《应用数学进展》《Acta Mathematica Sinica,English Series》更多>>
相关主题:HAMILTONIANELASTICITYSYMPLECTICALSELF-ADJOINTNESS更多>>
相关领域:理学更多>>
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On symplectic self-adjointness of Hamiltonian operator matrices被引量:5
《Science China Mathematics》2015年第4期821-828,共8页CHEN Alatancang JIN GuoHai WU DeYu 
supported by National Natural Science Foundation of China(Grant Nos.11371185,11101200 and 11361034);Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.20111501110001);Major Subject of Natural Science Foundation of Inner Mongolia of China(Grant No.2013ZD01);Natural Science Foundation of Inner Mongolia of China(Grant No.2012MS0105)
Symplectic self-adjointness of Hamiltonian operator matrices is studied, which is important to symplectic elasticity and optimal control. For the cases of diagonal domain and off-diagonal domain, necessary and suffici...
关键词:symplectic elasticity symplectic self-adjoint Hamiltonian operator matrix 
On Invertible Nonnegative Hamiltonian Operator Matrices
《Acta Mathematica Sinica,English Series》2014年第10期1763-1774,共12页Guo Hai JIN Guo Lin HOU Alatancang CHEN De Yu WU 
Supported by Natural Science Foundation of China(Grant Nos.11361034,11371185,11101200);Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.20111501110001);Major Subject of Natural Science Foundation of Inner Mongolia of China(Grant No.2013ZD01);Natural Science Foundation of Inner Mongolia of China(Grant No.2012MS0105)
Some new characterizations of nonnegative Hamiltonian operator matrices are given. Several necessary and sufficient conditions for an unbounded nonnegative Hamiltonian operator to be invertible are obtained, so that t...
关键词:Hamiltonian operators INVERTIBILITY NONNEGATIVE symplectic elasticity 
复Hamilton矩阵的特征值问题
《应用数学进展》2014年第2期78-84,共7页沈玥 王智慧 闫琨 吴德玉 
国家自然科学基金(批准号:11101200),内蒙古大学校级本科生创新培养基金(批准号:2012128)。
在本文中,我们主要研究复Hamilton矩阵的特征值关于实轴和虚轴的对称性,以及复Hamilton矩阵的特征值是实的或纯虚数的充分条件。最后,通过证明得到一类特征值是关于实轴和虚轴对称的复Hamilton矩阵。
关键词:特征值 特征向量 HAMILTON矩阵 
Symmetry of the Point Spectrum of Infinite Dimensional Hamiltonian Operators and Its Applications被引量:1
《Acta Mathematicae Applicatae Sinica》2012年第1期149-156,共8页Hua WANG Alatancang Jun-jie HUANG 
Supported by the National Natural Science Foundation of China (No. 11061019, 10962004, 11101200);the Chunhui Program of Ministry of Education of China (No. Z2009-1-01010);the Natural Science Foundation of Inner Mongolia (No. 2010MS0110, 2009BS0101);the Cultivation of Innovative Talent of ‘211 Project’ of Inner Mongolia University
This paper studies the symmetry, with respect to the real axis, of the point spectrum of the upper triangular infinite dimensional Hamiltonian operator H. Note that the point spectrum of H can be described as σp(H)...
关键词:infinite dimensional Hamiltonian operator point spectrum SYMMETRY thin plate on elasticfoundation plane elasticity problem harmonic equation 
Completeness of system of root vectors of upper triangular infinitedimensional Hamiltonian operators appearing in elasticity theory被引量:1
《Applied Mathematics and Mechanics(English Edition)》2012年第3期385-398,共14页王华 阿拉坦仓 黄俊杰 
supported by the National Natural Science Foundation of China (Nos. 11061019,10962004,11101200,and 11026175);the Chunhui Program of Ministry of Education of China (No. Z2009-1-01010);the Natural Science Foundation of Inner Mongolia of China (No. 2010MS0110);the Cultivation of Innovative Talent of "211 Project" of Inner Mongolia University
This paper deals with a class of upper triangular infinite-dimensional Hamilto- nian operators appearing in the elasticity theory. The geometric multiplicity and algebraic index of the eigenvalue are investigated. Fur...
关键词:upper triangular infinite-dimensional Hamiltonian operator EIGENVECTOR root vector MULTIPLICITY COMPLETENESS 
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