摘要
设（ａ，ｂ）Ｒ是一个有界开区间，对源自梁横向振动方程的如下特征值问题Ｄ２（Ｐ（ｘ）Ｄ２ｙ）＝－λＤ２ｙｙ（ａ）＝ｙ（ｂ）＝０，Ｄｙ（ａ）＝Ｄｙ（ｂ）＝０｛（其中Ｐ（ｘ）是关于ｘ的函数），建立了第二特征值λ２的上界用第一特征值λ１来估计的不等式。
(a,b)R is assumed to be one bounded open interval, the following problem about characteristic values is consideredD2(P(x)D2y)=-λD2yy(a)=y(b)=0,Dy(a)=Dy(b)=0in which P(x) is the function of x. The inequality for the upper bound of the second characteristic value λ2 is developed, which is estimated according to the first characteristic value λ1.
关键词
特征值
梁
振动
横向振动方程
lateral vibration equation, characteristic values, characteristic function, upper bound
