Spectrum of Discrete Second-Order Neumann Boundary Value Problems with Sign-Changing Weight
Joint Authors
Ma, Ruyun
Lu, Yanqiong
Gao, Chenghua
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-29
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We study the spectrum structure of discrete second-order Neumann boundary value problems (NBVPs) with sign-changing weight.
We apply the properties of characteristic determinant of the NBVPs to show that the spectrum consists of real and simple eigenvalues; the number of positive eigenvalues is equal to the number of positive elements in the weight function, and the number of negative eigenvalues is equal to the number of negative elements in the weight function.
We also show that the eigenfunction corresponding to the jth positive/negative eigenvalue changes its sign exactly j-1 times.
American Psychological Association (APA)
Ma, Ruyun& Gao, Chenghua& Lu, Yanqiong. 2013. Spectrum of Discrete Second-Order Neumann Boundary Value Problems with Sign-Changing Weight. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-459909
Modern Language Association (MLA)
Ma, Ruyun…[et al.]. Spectrum of Discrete Second-Order Neumann Boundary Value Problems with Sign-Changing Weight. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-459909
American Medical Association (AMA)
Ma, Ruyun& Gao, Chenghua& Lu, Yanqiong. Spectrum of Discrete Second-Order Neumann Boundary Value Problems with Sign-Changing Weight. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-459909
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-459909