The inverse nodal problem and the Ambarzumyan problem for the p-Laplacian

The inverse nodal problem and the Ambarzumyan problem for the p-Laplacian
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DOI：
10.1017/s0308210508000851
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发表时间：
2009-11
期刊：
Proceedings of the Royal Society of Edinburgh: Section A Mathematics
影响因子：
--
通讯作者：
Y. Cheng;C. Law;W. Lian;Wei-Chuan Wang
Y. Cheng;C. Law;W. Lian;Wei-Chuan Wang
中科院分区：
其他
文献类型：
--
作者：
Y. Cheng;C. Law;W. Lian;Wei-Chuan Wang

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研究了一维p-Laplacian特征值问题的逆节点问题的重构和稳定性问题。一个关键步骤是应用修改的Prüfer替代，以获得详细的渐近展开的特征值和节点长度。两个相关的Ambarzumyan问题也得到解决。
We study the issues of the reconstruction and stability of the inverse nodal problem for the one-dimensional p-Laplacian eigenvalue problem. A key step is the application of a modified Prüfer substitution to derive a detailed asymptotic expansion for the eigenvalues and nodal lengths. Two associated Ambarzumyan problems are also solved.