1) a class of differential equation with four orders
某类四阶微分方程
1.
This paper considers one computational method of the approximate value of the weighted eigenvalues of a class of differential equation with four orders.
考虑计算某类四阶微分方程带权特征值的近似值的算法。
2) a certain class of differential equation of the sixth order
某类六阶微分方程
1.
One computational method of the approximate values of the weighted eigenvalues for a certain class of differential equation of the sixth order is suggested.
构建了计算某类六阶微分方程带权特征值的近似值的算法。
3) differential equation with four orders
四阶微分方程
1.
The paper presents the estimation of the upper bound of generalized second eigenvalue for the differential equation with four orders.
考虑四阶微分方程广义第二特征值的上界估计,利用试验函数、Rayleigh定理、分部积分、Schwartz不等式和Young不等式等估计方法与技巧,获得了用第一特征值来估计第二特征值上界的不等式,其估计系数与区间的度量无关。
2.
This paper considers a computational method of the approximate value of the generalized eigenvalues of thedifferential equation with four orders and demonstrates the result based on the functional analysis.
考虑计算四阶微分方程广义特征值的近似值的算法,运用泛函证明了主要结果。
6) Fourth-order ordinary differential equations
四阶常微分方程
1.
By establishing comparison theorem and using the method of partial order and lower and upper sullutions, we investigate the existence of maximal and minimal sollutions of two-point boundary value problem of fourth-order ordinary differential equations, coming from the bending of an elastic beam, in Banach spaces.
通过建立比较定理,利用半序与上下解方法,在Banach空间研究了源弹性梁的一类四阶常微分方程两点边值问题的最大解与最小解的存在性。
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