摘要
考虑了一类任意阶微分方程广义第二特征值的上界估计,获得了用第一特征值来估计第二特征值的上界的不等式,其估计系数与区间的度量无关．其结果在物理学和力学中有着广泛的应用,在微分方程的研究中起着重要的作用．
This paper considers the estimate of the upper bound of generalized second eigenvalue for the differential equation with any order. The upper of second eigenvalue is dependent on the first eigenvalue, and being independent on the measure of the domain in which the problem is concerned. This kind of problem is significant both in theory of differential equations and in application to mechanics and physics.
出处
《苏州市职业大学学报》
2006年第1期72-75,共4页
Journal of Suzhou Vocational University
关键词
任意阶微分方程
特征值
特征函数
上界
估计
differential equation with any order
eigenvalue
eigenfunction
upper bound
estimate
