权函数w≢1的Sturm-Liouville问题的特征值对势函数的依赖性
Dependence of Eigenvalues of Sturm-Liouville Problem Whose Weight Function w≢1 on the Potential Function
DOI: 10.12677/PM.2016.63039, PDF, HTML, XML, 下载: 1,885  浏览: 7,719 
作者: 郭慕瑶, 高云兰*:内蒙古工业大学理学院,内蒙古 呼和浩特
关键词: Sturm-Liouville问题势函数特征值Sturm-Liouville Problem Potential Function Eigenvalues
摘要: 本文利用比较定理和定义区间的单调性证明了权函数w≢1的Sturm-Liouville问题的特征值对势函数的依赖性。
Abstract: In this paper, the eigenvalues of Sturm-Liouville problem whose weight function w≢1 dependent on the potential function are studied, and the comparison theorem and domain monotonicity are used.
文章引用:郭慕瑶, 高云兰, 赵馨. 权函数w≢1的Sturm-Liouville问题的特征值对势函数的依赖性[J]. 理论数学, 2016, 6(3): 255-260. http://dx.doi.org/10.12677/PM.2016.63039

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