supported by the National Natural Science Foundation of China (Nos. 10962004, 11061019);the Specialized Research Fund for the Doctoral Program of Higher Education of China (No. 20070126002);the Chunhui Program of the Ministry of Education of China (No. Z2009-1-01010);the Natural Science Foundation of Inner Mongolia (Nos. 2009BS0101, 2010MS0110)
The authors investigate the completeness of the system of eigen or root vectors of the 2×2 upper triangular infinite-dimensional Hamiltonian operator H 0.First,the geometrical multiplicity and the algebraic index of ...
Project supported by the National Natural Science Foundation of China(Grant Nos.10962004and11061019);'Chunhui Program' Ministry of Education(Grant No.Z2009-1-01010);the Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.20070126002);the Doctoral Foundation of Inner Mongolia(Grant No.2009BS0101);the Natural Science Foundation of Inner Mongolia(Grant No.2010MS0110);the Cultivation of Innovative Talent of '211Project'of Inner Mongolia University
This paper deals with the completeness of the eigenvector system of a class of operator matrices arising from elasticity theory, i.e., symplectic eigenvector expansion theorem. Under certain conditions, the symplectic...
Project supported by the National Natural Science Foundation of China(Grant Nos.10962004 and 11061019);the Doctoral Foundation of Inner Mongolia(Grant Nos.2009BS0101 and 2010MS0110);the Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.20070126002);the Chunhui Program of the Ministry of Education of China(Grant No.Z2009-1-01010)
This paper deals with off-diagonal operator matrices and their applications in elasticity theory. Two kinds of completeness of the system of eigenvectors are proven, in terms of those of the compositions of two block ...