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...
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...
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)...
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...