1) high-order differential equations of motion
高阶运动微分方程
1.
Combining the symmetry of Yang Hui triangle with the Newtonian second law, the high-order differential equations of motion are deduced.
结合杨辉三角形的对称性规律和牛顿第二定律推导出了高阶运动微分方程,并讨论了理想约束系统下的高阶运动微分方程。
2) higher order partial differential equation
高阶偏微分方程
1.
This paper studies oscillation for the solutions of neutral higher order partial differential equation with continuous distributed deviating arguments.
研究了一类含有连续分布滞量的中立型高阶偏微分方程解的振动性,获得了该方程在两类边值条件下解振动的充分条件。
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)+h1ePf′+h2eQf=0,where P,Q are polynomial of degree n and h1,h2 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 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。
6) high order differential equation
高阶微分方程
1.
This paper studies a class of high order differential equation as follows ax(2n)(t)+cx (t)+bx(t)+g(x(t-τ(t)))=p(t).
考虑一类高阶微分方程ax(2n)(t)+cx′(t)+bx(t)+g[x(t-т(t))]=p(t),利用重合度理论,获得了此类方程至少存在一个T-周期解的充分条件。
2.
A class of high order differential equation is considered as follows ax2n(t)+cx\'(t)+h(x\'(t))x(t)+g[x(t-τ(t))]=p(t)By using the theory of coincidence degree,a sufficient condition of existence of at least one T-periodic solution is obtained.
考虑一类高阶微分方程ax2n(t)+cx′(t)+h(x′(t))x(t)+g[x(t-τ(t))]=p(t)利用重合度理论,获得了此类方程至少存在一个T-周期解的充分条件。
3.
A class of high order differential equation is considered as follows ax(2n)(t)+cx′(t)+h(x′(t))x(t)+g(x(t-τ))=p(t).
考虑一类高阶微分方程ax(2n)(t)+cx(′t)+h(x(′t))x(t)+g[x(t-τ)]=p(t)利用重合度理论,获得了此类方程至少存在一个T-周期解的充分条件。
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