| 1. | A comparison principle for nonlinear equations
非线性方程解的比较原理 |
| 2. | Using the comparison principle , it is proved that the proposed method is of superlinear convergence
利用比较原理，间接证明该算法是一种具有超线性收敛性的近似牛顿法。 |
| 3. | Using the comparison principle , the existence , uniqueness and its asymptotic behavior of solution for the problem are studied
利用比较原理，研究了问题解的存在性，唯一性及其渐近性态。 |
| 4. | The authors investigate global properties arid uniform boundedness of impulsive differential equations with variable times using comparison principle
摘要运用比较原理研究了具有可变脉冲时刻的脉冲微分方程解的整体性质，给出了解一致有界的充分条件。 |
| 5. | The paper gives some comparison results about practical stability and boundedness in terms of two measures using comparison principle about impulsive hybrid differential systems
本文结合脉冲混合系统的比较原理给出了该系统关于两个测度的实际稳定性、积分稳定性和有界性的比较结果 |
| 6. | We investigate the stability and the boundedness of the differential system . stability criteria and boundedness criteria in terms of two measures employing the method of comparison are established
摘要给出了一个比较原理，并利用比较方法给出了若干个非自治微分系统关于两个测度的稳定性和有界性结果。 |
| 7. | In the same time , comparison principle establishs the relation between complicated vector systems and simple scalar systems , which makes it possible to get stronger results with fewer conditions
同时，比较原理可以建立复杂的向量系统与简单纯量系统之间的关系，这使得在较少条件下得到较强结果成为可能 |
| 8. | This paper also points out the applying localization , and puts forward the ameliorated steps . analysis indicates that comparing from one direction has upper sensitivity , and more reliability from two directions
本文的重点是提出了纵向识别的概念，并从数学上阐述了纵向识别原理，用混合仿真试验数据验证了纵向比较原理的可行性。 |
| 9. | Using the comparion theorem of difference equation , persistence theorem of discrete semi - dynamical system and stability of monotonous operator , we gain the boundary , uniform persistence and permanence of the system
应用差分方程的比较原理，离散半动力系统的持久性定理以及单调算子的三分稳定性，获得系统的有界性，一致持久性，永久持久性。 |
| 10. | In the proof , by the subsystem which makes the discussion more convenient , we get more brief sufficient conditions . we also use the comparison theorem , liapunov functional method and razumikhin function method
在以上的证明中，考虑了系统的独立子系统，使问题更加简单，条件更加简捷，并且使用了比较原理、 liapunov泛函方法、 razumikhin函数法。 |
