A nodal inverse problem for second order Sturm-Liouville operators with indefinite weights

被引：13
|
作者：
Pinasco, Juan P. [1 ]
Scarola, Cristian [2 ]
机构：
[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, IMAS CONICET, Dept Matemat, RA-1428 Buenos Aires, DF, Argentina
[2] Univ Nacl La Pampa, Fac Ciencias Exactas & Nat, RA-6300 Santa Rosa, La Pampa, Argentina
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 256卷
关键词：
Inverse problems; Eigenvalues; Nodal points; Indefinite weights; EIGENVALUES;
D O I：
10.1016/j.amc.2015.01.101
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study an inverse problem for weighted second order Sturm-Liouville equations. We show that the zeros of any subsequence of eigenfunctions, or a dense set of nodes, are enough to determine the weight. We impose weaker hypotheses for positive weights, and we generalize the proof to include indefinite weights. Moreover, the parameters in the boundary conditions can be determined numerically by using a shooting method. (C) 2015 Elsevier Inc. All rights reserved.
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页码：819 / 830
页数：12
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