Positive Solutions and Iterative Approximations for a Nonlinear Two-Dimensional Difference System with Multiple Delays
Joint Authors
Kang, Shin Min
Kwun, Young Chel
Liu, Zeqing
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-57, 57 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-09
Country of Publication
Egypt
No. of Pages
57
Main Subjects
Abstract EN
This paper studies the nonlinear two-dimensional difference system with multiple delays Δ(xn+p1nxn-τ1)+f1(n,xa1n,…,xahn,yb1n,…,ybkn)=q1n,Δ(yn+p2nyn-τ2)+f2(n,xc1n,…,xchn,yd1n,…,ydkn)=q2n,n≥n0.
Using the Banach fixed point theorem and a few new analysis techniques, we show the existence of uncountably many bounded positive solutions for the system, suggest Mann iterative algorithms with errors, and discuss the error estimates between the positive solutions and iterative sequences generated by the Mann iterative algorithms.
Examples to illustrates the results are included.
American Psychological Association (APA)
Liu, Zeqing& Kang, Shin Min& Kwun, Young Chel. 2012. Positive Solutions and Iterative Approximations for a Nonlinear Two-Dimensional Difference System with Multiple Delays. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-57.
https://search.emarefa.net/detail/BIM-456539
Modern Language Association (MLA)
Liu, Zeqing…[et al.]. Positive Solutions and Iterative Approximations for a Nonlinear Two-Dimensional Difference System with Multiple Delays. Abstract and Applied Analysis No. 2012 (2012), pp.1-57.
https://search.emarefa.net/detail/BIM-456539
American Medical Association (AMA)
Liu, Zeqing& Kang, Shin Min& Kwun, Young Chel. Positive Solutions and Iterative Approximations for a Nonlinear Two-Dimensional Difference System with Multiple Delays. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-57.
https://search.emarefa.net/detail/BIM-456539
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456539