高阶微分,higher-order derivative

1)higher-order derivative
高阶微分
1.
The properties of higher-order derivative in a class of Banach spaces;
一类空间中高阶微分的性质



2)high order differentiator
高阶微分器
1.
Based on the idea, the high order differentiator (HOD) that is well able to extract differential and high order differentials of measured .
基于这种思想设计了能高品质地提取量测信号的微分和高阶微分的高阶微分器 (HOD ,high order differentiator) ,该HOD参数少 ,容易调节 ,并给出其稳定性、收敛性和滤波特性的证明 ;另外 ,对带有未知扰动、模型未知的非线性SISO和MIMO系统分别设计了基于HOD的高阶微分反馈自适应控制器 (HODFC ,high order differentials feedback adaptive controller) ,给出了闭环系统稳定性和鲁棒性分析 ,并且实现了线性化解耦控



3)high-order differential equation
高阶微分方程
1.
There are a lot of ways to find the solution of the high-order differential equation.
高阶微分方程求解方法很多，但多为求实特征根，求虚特征根的方法也是在一定范围下的解。


2.
By means of better prior estimate and the coincidence degree theory,we study the existence of periodic solutions for a kind of high-order differential equation with delay shch as (x(t)-cx(t-σ))(n)+∑n-1i=2aix(i)(t-δi)+g(t,x(t-r(t))=f(t,x(t-τ(t)),x′(t-δ(t)))+p(t) Some new sufficient condition of periodic solutions is obtained on the even more conditions.
利用更精确的估计和重合度理论,研究了一类具有时滞的高阶微分方程(x(t)-cx(t-σ))(n)+∑n-1i=2aix(i)(t-δi)+g(t,x(t-r(t))=f(t,x(t-τ(t)),x′(t-δ(t)))+p(t)的周期解存在性问题,在更弱的条件下获得了该方程周期解性的若干新的充分条件,推广和改进了已有文献的相关结果。


3.
This paper obtains a new oscillation theorem of high-order differential equation with damping.
本文建立了具有阻尼项的高阶微分方程新的振动定理。



4)higher order differential equation
高阶微分方程
1.
In this paper,we investigate the properties of the growth of solutions of higher order differential equations f(k)+h1ePf′+h2eQf=0,where P,Q are polynomial of degree n and h1,h2 are entire functions or meronorphic functions.
研究了高阶微分方程f(k)+h1ePf′+h2eQf=0的解的增长性,其中P,Q为n次多项式,hj(j=1,2)或是整函数,或是亚纯函数,把二阶微分方程推广到高阶,对解的超级得到同样的结论。



5)higher order differential inequalities
高阶微分不等式
1.
In this paper, it has been studied that the singular perturbations for the higher order nonlinear boundary value problem of the formby the method of higher order differential inequalities and boundary layer corrections.
本文应用高阶微分不等式技巧和边界层校正法研究一类高阶非线性方程混合边值问题: e~2y~(n)=f(t,e,y,…,y~(n-2) Pj(ε)y~(j)(0,ε)-qj(ε)y~(j+1)(0,ε)=Aj(ε) (0≤j≤n-3) a_d(ε)y(n-2)(0,ε)-a_2(ε)y~(n-1)(0,ε)=B(ε) b_1(ε)y(n-2)(1,ε)十b_2(ε)y(n-1)(1,ε)=C(ε)的奇异摄动。



6)higher order boundary value systems
高阶微分方程组
1.
With the method of compression and expansion of a cone, the existence of multiple positive solutions for higher order boundary value systems with a p-Laplacian operator was investigated.
应用锥拉伸和锥压缩不动点理论讨论了含p-Laplacian算子的高阶微分方程组边值问题多个正解的存在性。



参考词条
Kolmogorov高阶微分方程组 非线性高阶微分方程 高阶微分方程边值问题 高阶微分变分原理 高阶微分中值公式 高阶微分中值定理 自适应高阶微分反馈控制器 石材加工中心 高湿的
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。


高阶微分,higher-order derivative