Unbounded Positive Solutions and Mann Iterative Schemes of a Second-Order Nonlinear Neutral Delay Difference Equation
Joint Authors
Ume, Jeong Sheok
Kang, Shin Min
Liu, Zeqing
Hou, Xiaochuan
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-24
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper is concerned with solvability of the second-order nonlinear neutral delay difference equation Δ2(xn+anxn-τ)+Δh(n,xh1n,xh2n,…,xhkn)+f(n,xf1n,xf2n,…,xfkn)=bn,∀n≥n0.
Utilizing the Banach fixed point theorem and some new techniques, we show the existence of uncountably many unbounded positive solutions for the difference equation, suggest several Mann-type iterative schemes with errors, and discuss the error estimates between the unbounded positive solutions and the sequences generated by the Mann iterative schemes.
Four nontrivial examples are given to illustrate the results presented in this paper.
American Psychological Association (APA)
Liu, Zeqing& Hou, Xiaochuan& Ume, Jeong Sheok& Kang, Shin Min. 2013. Unbounded Positive Solutions and Mann Iterative Schemes of a Second-Order Nonlinear Neutral Delay Difference Equation. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-456849
Modern Language Association (MLA)
Liu, Zeqing…[et al.]. Unbounded Positive Solutions and Mann Iterative Schemes of a Second-Order Nonlinear Neutral Delay Difference Equation. Abstract and Applied Analysis No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-456849
American Medical Association (AMA)
Liu, Zeqing& Hou, Xiaochuan& Ume, Jeong Sheok& Kang, Shin Min. Unbounded Positive Solutions and Mann Iterative Schemes of a Second-Order Nonlinear Neutral Delay Difference Equation. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-456849
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456849