Inverse nodal problems for the p-Laplacian with eigenparameter dependent boundary conditions

被引：15
|
作者：
Wang, W. C. [1 ]
Cheng, Y. H. [2 ]
Lian, W. C. [3 ]
机构：
[1] Natl Changhua Univ Educ, Dept Math, Changhua 500, Taiwan
[2] Natl Tsing Hua Univ, Dept Math, Hsinchu 300, Taiwan
[3] Natl Kaohsiung Marine Univ, Dept Informat Management, Kaohsiung 811, Taiwan
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2011年 / 54卷 / 11-12期
关键词：
p-Laplacian; Inverse nodal problem; STURM-LIOUVILLE EQUATIONS; EIGENVALUE PARAMETER;
D O I：
10.1016/j.mcm.2011.06.059
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We study the issues of reconstruction of the inverse nodal problem for the one-dimensional p-Laplacian eigenvalue problem with eigenparameter boundary value conditions. A key step is the application of a modified Prufer substitution to derive a detailed asymptotic expansion for the eigenvalues and nodal lengths. The parameter boundary data are also reconstructed. (C) 2011 Elsevier Ltd. All rights reserved.
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页码：2718 / 2724
页数：7
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