| 1. | Controllability of impulsive functional differential system in banach space 抽象空间脉冲泛函微分系统的可控性 |
| 2. | Further disussion on asymptotic property of the functional differential 关于泛函微分中值点渐近性的进一步讨论 |
| 3. | However , very little is known about the boundedness properties of system ( 1 ) 目前,有关脉冲泛函微分系统有界性的结果并不多见 |
| 4. | In order to explore the lagrange stability of system ( 1 ) , we need to know not only the stability but also the boundedness of solutions of system ( 1 ) 在研究脉冲泛函微分系统的lagrange稳定性时,不仅要了解该系统的稳定性,还要了解该系统的有界性 |
| 5. | The convergence of the waveform relaxation for solving functional differential - algebraic equations is studied and the error estimate is derived 摘要本文采用波形松弛算法来求解一类泛函微分代数系统,该算法在迭代过程中,避免了求解泛函微分方程,且利于并行处理。 |
| 6. | In chapter two , we study the boundedness properties of system ( 1 ) mainly by the mthod of several lyapunov functions including partial components coulped with razu - mikhin technique 在第二章中,我们主要运用多个部分lyapunov函数方法并结合razumikhin技巧研究了脉冲泛函微分系统( 1 )的有界性 |
| 7. | Hence , we obtain a uniformly ultimate boundedness theorem with respect to system ( 1 ) by means of two families of lyapunov functions , and the conditions are less restrictive 本章最后用两族lyapunov函数在较少限制下得到了脉冲泛函微分系统o )的一致最终有界性定理,并举例说明了定理的有效性 |
| 8. | In theorem 3 . 3 . 5 , the derivative of lyapunov function along trajectories of system ( 1 ) does n ' t need to be required to be negative definite , which is different from functional differential systems 在定理3 3石中, lyapunov函数沿系统)的解轨线的导数在iezumikhin型条件下不再局限于常负,这一点不同于泛函微分系统 |
| 9. | In this paper , we study stability and boundedness for impulsive functional differential systems as follows : it is effective tool for lyapunov functions coupled with razumikhin technique to investigate the stability for impulsive functional differential systems . it can guarantee the stability under less restrictive conditions 在研究脉冲泛函微分系统的稳定性时, lyapunov函数方法并结合razumikhin技巧是一种行之有效的工具,在较少的限制下可以保证所需要的稳定性 |
| 10. | Different from the above two chapters , in chapter three , we employ the method of lyapunov function coupled with razumikhin technique to investigete the practical stability in terms of two measures of system ( 1 ) , obtain some practical stability theorems , such as ( h0 , h ) practical stablity , ( h0 , h ) uniformly practical stability , ( h0 , h ) uniformly practically asymptotical stability and so on 不同于前两章,在第三章中,我们运用lyapunov函数方法结合razumikhin技巧研究了脉冲泛函微分系统)的关于两个测度的实际稳定性,得到了一些实际稳定性定理,如巾。入)实际稳定性、 ( h 。 , h )一致实际稳定性、币。 |