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作为经典Lyapunov不等式的推广,我们首先建立了关于Sturm-Liouville 微分方程一般形式的Lyapunov不等式。若已知特征值问题的一个(或第n个)特征值,我们得到了势函数在L[0,1] 上模的极小估计,并得到了又该特征值和边界条件的系数给出的表达式。
Sturm-Liouville谱理论中关于势函数与权函数的极值问题
【摘 要】
：
作为经典Lyapunov不等式的推广,我们首先建立了关于Sturm-Liouville 微分方程一般形式的Lyapunov不等式。若已知特征值问题的一个(或第n个)特征值,我们得到了势函数在L[0
【机 构】
：
ShandongUniversity(Weihai)
【出 处】
：
2016年上海微分方程与动力系统会议
【发表日期】
：
2016年10期
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