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| 关于大系统周期解的存在性 | |
| 引用本文： | 王德全. 关于大系统周期解的存在性[J]. 新疆大学学报(理工版), 1992, 9(3): 19-25 |
| 作者姓名： | 王德全 |
| 作者单位： | 新疆大学经管系 |
| 摘 要： | 本文应用Liapunov函数方法,研究了复合大系统dx/(dt)=P(t)A(t)x的稳定性,在此基础上,给出了周期大系统dx/dt=P(t)A(t)x+f(x)存在平稳振荡的充分条件,并且给出了非线性周期复合大系统dx/dt=P(t)A(t)x+g(t,x)的解的有界性和周期解的存在性的充分条件,改进了文[3～6]的有关结果。 |
| 关 键 词： | 大系统 Liadunov函数 周期解 |
THE EXISTENCE OF A PERIODIC SOLUTION ON LARGE-SCALE SYSTEMS |
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| Wang Dequan. THE EXISTENCE OF A PERIODIC SOLUTION ON LARGE-SCALE SYSTEMS[J]. Journal of Xinjiang University(Science & Engineering), 1992, 9(3): 19-25 | |
| Authors: | Wang Dequan |
| Affiliation: | Wang Dequan Department of Economics & Management,Xinjiang University |
| Abstract: | In this paper, by means of Liapunov function, we study the stability of composite system dx/dt =P(t)A(t)x, furthermore, we study the existence of stationary oscillation of periodic composite system dx/dt=P(t)A(t)x+f(t), and the bundedness of solution and existence of periodic solution of periodic composite system dx/dt=P(t)A(t)x+g(t,x). |
| Keywords: | large-scale system Liapunov function periodic solution stationary oscillation |
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