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Dauge, M. and Helffer, B. (1993) Eigenvalues Variation, I. Neumann Problem for Sturm-Liouville Operators. Diffe-rential Equations, 104, 243-262.
http://dx.doi.org/10.1006/jdeq.1993.1071

被以下文章引用:

• 标题: 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, 赵馨

  关键字: Sturm-Liouville问题, 势函数, 特征值Sturm-Liouville Problem, Potential Function, Eigenvalues

  期刊名称: 《Pure Mathematics》, Vol.6 No.3, 2016-05-27

  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。 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.