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.

引用

页码：2718 / 2724

页数：7

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