Existence of Bounded Positive Solutions for Partial Difference Equations with Delays
Joint Authors
Kang, Shin Min
Wu, Zhihua
Kwun, Young Chel
Liu, Zeqing
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-22
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
This paper deals with solvability of the third-order nonlinear partial difference equation with delays Δn(am,nΔm2(xm,n+bm,nxm-τ0,n-σ0))+f(m,n,xm-τ1,m,n-σ1,n,…,xm-τk,m,n-σk,n)=cm,n, m≥m0, n≥n0.
With the help of the Banach fixed-point theorem, the existence results of uncountably many bounded positive solutions for the partial difference equation are given; some Mann iterative schemes with errors are suggested, and the error estimates between the iterative schemes and the bounded positive solutions are discussed.
Three nontrivial examples illustrating the results presented in this paper are also provided.
American Psychological Association (APA)
Liu, Zeqing& Wu, Zhihua& Kwun, Young Chel& Kang, Shin Min. 2012. Existence of Bounded Positive Solutions for Partial Difference Equations with Delays. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-453224
Modern Language Association (MLA)
Liu, Zeqing…[et al.]. Existence of Bounded Positive Solutions for Partial Difference Equations with Delays. Abstract and Applied Analysis No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-453224
American Medical Association (AMA)
Liu, Zeqing& Wu, Zhihua& Kwun, Young Chel& Kang, Shin Min. Existence of Bounded Positive Solutions for Partial Difference Equations with Delays. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-453224
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453224