| 1. | Checking the stability of the null solution by second liapunov method
第二方法判断零解的稳定性 |
| 2. | Liapunov ' s theorem of stability
李亚普诺夫稳定性定理 |
| 3. | Liapunov ' s second method
李亚普诺夫第二方法 |
| 4. | Conditions for permanence is established via the method of comparison involving multiple liapunov functions
进而，利用李雅普诺夫函数和比较定理确定了持续生存的条件。 |
| 5. | In the second chapter , the permanence for an autonomous delay competition model of lotka - volterra type is considered by means of liapunov functionals
在第二章，利用李雅普诺夫函数研究了离散时滞lotka - volterra竞争系统的持久性。 |
| 6. | Second by using liapunov direct method , two different sufficient global exponential stability conditions are obtained on condition that activation functions are lipschitz continuous
第二种是采用李雅普诺夫直接方法，在激励函数的lipschitz连续假设下，得到了两个全局指数稳定的充分性判据。 |
| 7. | Furthermore , according to the method of liapunov functions in the stability theory , both the globally asymptotic stability and the attractive regions of the nonnegative equilibrium in the model are discussed
同时，对系统解的吸引域以及平衡态的全局稳定性，采用李雅普诺夫函数法进行完整的讨论。 |
| 8. | The variation trajectory of liapunov exponents of car - following fleet and the variation orderliness of average speed , average headway and average space on steady condition were discussed
文章从分析城市快速道路跟车行为入手，利用李雅普诺夫特征指数，定性与定量相结合，讨论了跟驰车队中的混沌特性。 |
| 9. | In the fourth part , we structure liapunov function to discuss the following three species predator - pery system . we obtain existence , uniqueness and global asymptotic stability of almost periodic solution
在第四部分运用构造lyapunov函数的方法讨论了如下三种群食饵系统的概周期解的存在唯一性和全局渐近稳定性。 |
| 10. | Lastly , distributed time delays , with adopter rejection , are introduced to the model for three products . liapunov functional is constructed to find the sufficient condition of the positive equilibrium
最后，我们在模型中对使用者离开使用类的速率引进分布时滞，通过构造liapunov泛函，得出正平衡点全局稳定的充分条件。 |
