Principal Eigenvalues of a Second-Order Difference Operator with Sign-Changing Weight and Its Applications
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-01-18
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Let T>2 be an integer and T={1,2,…,T}.
We show the existence of the principal eigenvalues of linear periodic eigenvalue problem -Δ2u(j-1)+q(j)u(j)=λg(j)u(j), j∈T, u(0)=u(T), u(1)=u(T+1), and we determine the sign of the corresponding eigenfunctions, where λ is a parameter, q(j)≥0 and q(j)≢0 in T, and the weight function g changes its sign in T.
As an application of our spectrum results, we use the global bifurcation theory to study the existence of positive solutions for the corresponding nonlinear problem.
American Psychological Association (APA)
Ma, Ruyun& Xu, Man& Long, Yan. 2018. Principal Eigenvalues of a Second-Order Difference Operator with Sign-Changing Weight and Its Applications. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1152322
Modern Language Association (MLA)
Ma, Ruyun…[et al.]. Principal Eigenvalues of a Second-Order Difference Operator with Sign-Changing Weight and Its Applications. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1152322
American Medical Association (AMA)
Ma, Ruyun& Xu, Man& Long, Yan. Principal Eigenvalues of a Second-Order Difference Operator with Sign-Changing Weight and Its Applications. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1152322
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152322