| 1. | The generalization is quite similar to the corresponding one in the theory of differential equations .
这一推广和对应的微分方程中理论的推广相当类似。 |
| 2. | The theory of stability is a basic and important subject in the theories of differential equations
稳定性理论是微分方程理论研究中一个基本而又重要的研究课题。 |
| 3. | In recent years , the theory of impulsive differential equations is an important area of investigation since it is much richer than the corresponding theory of differential equations
近年来，脉冲微分方程成为一个十分重要的研究区域。相对于微分方程理论而言，脉冲微分方程理论有着更为广泛的应用。 |
| 4. | A mathematic model of two - species competitive with stage structuer is considered . the quality theory of differential equation is applied . the existence and stability of the positive equilibrium are analysed
摘要研究一类具有阶段结构的竞争生态模型，运用微分方程定性理论方法，讨论了各类平衡态的性质，得到正平衡态存在稳定的条件。 |
| 5. | During one and a half century , oscillation theory of differential equations has developed quickly and played an important role in qualitative theory of differential equations and theory of boundary values problem
一个半世纪以来，微分方程的振动性理论已经取得了迅猛的发展，在微分方程定性理论及边值理论问题研究中占有很重要的地位。 |
| 6. | This paper is based on the theory of differential equations of vehicle in six directions , a model of the vehicle to build . but the model is relatively complex , it is not easy to analyse . it needs to simplify
本文是以描述汽车六个方向运动的微分方程为基础，在matlab环境下建立汽车仿真模型，但是因为模型的阶次相对较高，使研究工作比较复杂，这就提出了简化模型的要求。 |
| 7. | In the study of the qualitative theory of differential equations , especially in the study of the stability of differential equations , the estimate of solutions and the boundedness of solutions , gronwall - bellman - bihari inequality can be used as handy tools
在探讨微分方程定性理论中，尤其在探讨微分方程(组)的稳定性、解的估计及有界性的过程中， gronwall - bellman - bihari不等式是一强有力的工具。 |
| 8. | This thesis constructs a series of differential equation models reflecting the interest rate changes in the financial system for various financial backgrounds . it also studies the laws of changes of interest rate and the stability of financial market by applying the stability theory of differential equation
本文在各种不同的金融背景下，建立了一系列反映金融系统利率变化的微分方程模型，并应用微分方程稳定性理论研究了金融市场利率的变化规律及其稳定性。 |
| 9. | The first part , the theory and application about wu - ritt differential characteristic sequence method are discussed , which involves the theories of differential equations , abstract algebra and computer algebra etc . we apply wu - ritt differential characteristic sequence method ( abbr . wu - ritt method ) to linear partial differential equations which has physics significance and give the size of solutions and formal taylor solutions
本文共分两部分，第一部分讨论微分特征列法的理论和应用问题，涉及到微分方程，抽象代数，计算机代数等重要学科。将吴方法应用到具有物理意义的线性偏微分方程上去，我们给出了型序，验证了张鸿庆教授八十年代给出的恰当解的概念，刻划了解的规模并给出了形式幂级数解。 |
