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Necessary and Sufficient Condition for the Existence of Solutions to a Discrete Second-Order Boundary Value Problem
Author
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-09
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper is concerned with the existence of solutions for the discrete second-order boundary value problem Δ2u(t-1)+λ1u(t)+g(Δu(t))=f(t), t∈{1,2,…,T}, u(0)=u(T+1)=0, where T>1 is an integer, f:{1,…,T}→R, g:R→R is bounded and continuous, and λ1 is the first eigenvalue of the eigenvalue problem Δ2u(t-1)+λu(t)=0, t∈T, u(0)=u(T+1)=0.
American Psychological Association (APA)
Gao, Chenghua. 2012. Necessary and Sufficient Condition for the Existence of Solutions to a Discrete Second-Order Boundary Value Problem. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-510820
Modern Language Association (MLA)
Gao, Chenghua. Necessary and Sufficient Condition for the Existence of Solutions to a Discrete Second-Order Boundary Value Problem. Abstract and Applied Analysis No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-510820
American Medical Association (AMA)
Gao, Chenghua. Necessary and Sufficient Condition for the Existence of Solutions to a Discrete Second-Order Boundary Value Problem. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-510820
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-510820