![](/images/graphics-bg.png)
The Generalized Green’s Function for Boundary Value Problem of Second Order Difference Equation
Joint Authors
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-02-23
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Let b>a+2 and [a+1,b+1]={a+1,a+2,…,b+1}.
In this paper, by building the generalized Green’s function for the problems, we study the solvability of the S-L problem Lx=Δ[p(t-1)Δx(t-1)]+[q(t)+λr(t)]x(t)=-f(t), U1(x)=α1x(a)+α2Δx(a)=0, U2(x)=β1x(b+1)+β2Δx(b+1)=0, and the periodic S-L problem Lx=Δ[p(t-1)Δx(t-1)]+[q(t)+λr(t)]x(t)=-f(t), U3(x)=x(a)-x(b+1)=0, U4(x)=Δx(a)-Δx(b+1)=0, where the parameter λ is an eigenvalue of the linear problem Lx=0, U1(x)=0, U2(x)=0 or the problem Lx=0, U3(x)=0, U4(x)=0, and p:[a,b+1]→(0,+∞),r:[a+1,b+1]→(0,+∞), q(t) is defined and real valued on [a+1,b+1], α12+α22≠0,β12+β22≠0, and in the periodic S-L problem we have p(a)=p(b+1).
American Psychological Association (APA)
Han, Xiaoling& Huang, Juanjuan. 2015. The Generalized Green’s Function for Boundary Value Problem of Second Order Difference Equation. Journal of Function Spaces،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1068229
Modern Language Association (MLA)
Han, Xiaoling& Huang, Juanjuan. The Generalized Green’s Function for Boundary Value Problem of Second Order Difference Equation. Journal of Function Spaces No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1068229
American Medical Association (AMA)
Han, Xiaoling& Huang, Juanjuan. The Generalized Green’s Function for Boundary Value Problem of Second Order Difference Equation. Journal of Function Spaces. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1068229
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1068229