In this paper, the inverse eigenvalue problem of Hermitian generalized anti-Hamiltonian matrices and relevant optimal approximate problem are considered. The necessary and sufficient conditions of the solvability for ...In this paper, the inverse eigenvalue problem of Hermitian generalized anti-Hamiltonian matrices and relevant optimal approximate problem are considered. The necessary and sufficient conditions of the solvability for inverse eigenvalue problem and an expression of the general solution of the problem are derived. The solution of the relevant optimal approximate problem is given. MR Subject Classification 15A57 Keywords Hermitian generalized anti-Hamiltonian matrix - inverse eigenvalue problem - optimal approxmation Supported by the National Natural Science Foundation of China (1017103).展开更多
This article concentrates on the study of a mathematical model for the effect of toxicant levels on a single-species ecosystem in the case where there is a constant emission of a toxicant. Some sufficient conditions f...This article concentrates on the study of a mathematical model for the effect of toxicant levels on a single-species ecosystem in the case where there is a constant emission of a toxicant. Some sufficient conditions for weak persistence and extinction are found. The threshold between persistence and extinction can be established in some cases.展开更多
基金Supported by the National Natural Science Foundation of China( 1 0 1 71 0 3)
文摘In this paper, the inverse eigenvalue problem of Hermitian generalized anti-Hamiltonian matrices and relevant optimal approximate problem are considered. The necessary and sufficient conditions of the solvability for inverse eigenvalue problem and an expression of the general solution of the problem are derived. The solution of the relevant optimal approximate problem is given. MR Subject Classification 15A57 Keywords Hermitian generalized anti-Hamiltonian matrix - inverse eigenvalue problem - optimal approxmation Supported by the National Natural Science Foundation of China (1017103).
基金Project supported by the National Natural Science Foundation of China(No.10171010)Jilin Province Distinguish Youth Science Foundation (No.10201005)Key Project on Science and Technology of Education Ministry of People's Republic of China (No.01061).
文摘This article concentrates on the study of a mathematical model for the effect of toxicant levels on a single-species ecosystem in the case where there is a constant emission of a toxicant. Some sufficient conditions for weak persistence and extinction are found. The threshold between persistence and extinction can be established in some cases.
