| 1. | this is a homogeneous linear equation, which always has the trivial solution w≡0.
这是一个齐次线性方程，总是有零解W0。 |
| 2. | The stability of the trivial solution of a class of third order nonlinear ordinary differential equations
一类三阶非线性常微分方程零解的稳定性 |
| 3. | To one kind of difference system with variable coefficients , some sufficient conditions for global asymptotic stability of trivial solution are given
摘要给出了一类变系数差分系统的全局渐近稳定的一些充分条件。 |
| 4. | When the stability of the trivial solution of system ( 1 ) is determined , our results are not only effective but also suitable for many applications
在判断脉冲泛函系统( 1 )零解的稳定性时，不仅更为有效且易于应用 |
| 5. | First , based on the related theories of the ordinary differential equations , we discuss the existence of the non - trivial solutions to a class of boundary value equations discussed in this paper
首先应用常微分方程理论讨论一类边值问题非平凡解的存在唯一性，并将该研究结果应用到一类弹性系统的镇定问题。 |
| 6. | We introduce liapunov - schmidt reduction method to investigate the bifurcation of a class of nonlinear reaction - diffusion equations in developmental biology . near the bifurcation point we obtain nontrivial solutions branch emitted from the trivial solution
首先，我们引入liapunov - schmidt约化方法，应用到该方程得到该非线性微分方程在分歧点附近分歧方程的解析近似表达式及其非平凡解的渐进表达式。 |
| 7. | In this paper , the recent achievements of a non - trivial solution in p - laplace poblems and p - biharmonic poblems with critical growth are related . on the base of them , i study the problem on the more general condition , and obtain some new outcomes
本文首先就临界增长的p - laplace和p -双调和方程的非平凡解这两方面近年来的研究成果作了简单的叙述。在此基础上，本文作者在更一般条件下对此作了一定的研究，获得一些新结论。 |
| 8. | A new approach is introduced in [ 25 ] , that is , the stability of the trivial solution of system ( 1 ) can be investigated by means of several lyapunov functions including partial components , where every lyapnov function satisfies weaker conditions and is much easier to constructed
文[ 25 ]介绍了一种新方法，用多个含部分变元的lyapunov函数研究系统( 1 )的解的稳定性，其中每个lyapunov函数满足较少的条件，构造起来比较容易 |
| 9. | In this paper , the stability of the trivial solution is studied for a class of third order nonlinear non - autonomous ordinary differential equations by means of differential matrix , and the sufficient conditions of the global asymptotic stability of the trivial solution are obtained for a class of third order nonlinear autonomous system
摘要用微分矩法研究了一类三阶非线性常微分方程零解的稳定性，并获得了一类三阶非线性驻定系统零解全局渐近稳定的充分条件。 |
| 10. | The tree of this paper is as follows : in chapter 2 , we study the uniformly asymptotic stability of the trivial solutions of a class of linear and nonlinear difference - differential equations with finite time - dependent delays . then , we deal with the existence , the uniqueness and the stability of periodic solutions and almost periodic solutions when the systems are under periodic perturbations and almost periodic perturbations
本文内容具体安排如下：第二章，我们首先研究一类具有限变时滞的线性及非线性差分微分方程系统的零解的一致渐近稳定性，然后讨论在周期扰动和概周期扰动下，相应系统的周期解和概周期解的存在唯一性及稳定性。 |
