1) second order differential system
二阶微分系统
1.
We give sufficient conditions for the existence of at least one solution of the second order differential system-x″(t)=f(t,x) with boundary value conditions x(0)=0,x′(1)=0 and x(0)=A,x(1)=B by the method of the lower and upper solutions.
通过推广上下解的概念,利用上下解方法讨论了二阶微分系统-x″(t)=f(t,x)分别在边值条件x(0)=0,x′(1)=0和x(0)=A,x(1)=B下解的存在性。
2) Nonlinear second order differential systems
非线性二阶微分系统
4) second order impulsive differential systems
二阶脉冲微分系统
1.
In this paper, the necessary and sufficient conditions of the lower solution and uppersolution are obtained for both the second order impulsive differential systems with periodicboundary value and the first order ones.
文中建立了二阶周期边值脉冲微分系统的上解、下解与一阶周期边值脉冲微分系统的上解、下解的充分必要关系，进一步在维数ｎ≥２时，解决了二阶脉冲微分系统周期边值问题的比较结果。
5) fractional-order differential system
分数阶微分系统
1.
The analytical conditions that the fractional-order differential systems remain chaotic are obtained by analyzing the stability of the fixed points of the systems.
通过分析系统不动点的稳定性,得到分数阶微分系统存在混沌的解析条件。
补充资料：二阶线性齐次微分方程
二阶线性微分方程的一般形式为
ay"+by'+cy=f(1)
其中系数abc及f是自变量x的函数或是常数。函数f称为函数的自由项。若f≡0，则方程（1）变为
ay"+by'+cy=0（2）
称为二阶线性齐次微分方程，而方程（1）称为二阶线性非齐次微分方程。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条