1) complet second order linear differential equation
完全二阶线性微分方程
2) second order nonlinear differential equations
二阶非线性微分方程
1.
The authors discuss a class of second order nonlinear differential equations.
讨论了一类二阶非线性微分方程 。
3) second order linear differential equation
二阶线性微分方程
1.
The accessible product pattern of the second order linear differential equation with two kinds of variable coefficients;
两类变系数二阶线性微分方程的可积型
2.
In this paper,the solvable of second order linear differential equation which is important in theory and practice is studied.
研究在理论上和应用上占有重要地位的二阶线性微分方程的解法 ,给出了二阶变系数线性微分方程经自变量化为二阶常系数线性微分方程的充要条件 ,推广了一些经典的和近代的可解结果 ,修正了前人某些结果的片面
3.
Borg s Theorem is an important theorem which determine the stability of second order linear differential equation with periodic coefficient, and it is impossible to improve this Theorem in some significance.
Borg定理是判定周期系数二阶线性微分方程稳定的一个重要定理,这个定理在一定意义下是不可改进的。
4) second order nonlinear differential equation
二阶非线性微分方程
1.
Sturm comparison theorems of solutions for second order nonlinear differential equations;
二阶非线性微分方程解的Sturm比较定理
2.
The existence theorem of zero-point for one class of second order nonlinear differential equation;
一类二阶非线性微分方程解的零点存在定理
6) second order linear differential equations
二阶线性微分方程
1.
In this paper,we present a new class of second order linear differential equations with meromorphic coefficients and investigate the problems on the fixed points and hyper order of solutions and their 1st,2nd derivatives.
该文提出了一类新型的亚纯函数系数的二阶线性微分方程,研究了其亚纯解及其一阶和二阶导数的不动点及超级问题,得到了有关复域微分方程亚纯解及其一阶和二阶导数的不动点性质。
2.
We investigate the problems on the fixed points and hyper order of solutions of second order linear differential equations with meromorphic coefficients.
研究了亚纯函数系数的二阶线性微分方程解的不动点及超级问题,得到了有关复域微分方程亚纯解的不动点性质,并且由于受到微分方程的制约,其性质与一般亚纯函数的不动点性质相比,显得十分有趣。
3.
In this paper,we investigate the relationship between the solutions of second order linear differential equations with meromorphic coefficients and functions with smaller growth,and obtain some precise estimations between the meromorphic solutions of homogeneous and non-homogeneous linear differential equations and functions with smaller growth.
文章研究了亚纯函数系数的二阶线性微分方程的解与小函数的关系,得到了齐次与非齐次线性微分方程亚纯解取小函数的精确估计。
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