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

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; 赵 馨 :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 (2016) 权函数w≢1的Sturm-Liouville问题的特征值对势函数的依赖性。 理论数学, 6, 255-260. doi: 10.12677/PM.2016.63039

参考文献

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