![](/images/graphics-bg.png)
Existence and Iterative Algorithms of Positive Solutions for a Higher Order Nonlinear Neutral Delay Differential Equation
Joint Authors
Kang, Shin Min
Guan, Ling
Lee, Sunhong
Liu, Zeqing
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-28, 28 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-28
Country of Publication
Egypt
No. of Pages
28
Main Subjects
Abstract EN
This paper is concerned with the higher order nonlinear neutral delay differential equation [a(t)(x(t)+b(t)x(t-τ))(m)](n-m)+[h(t,x(h1(t)),…,x(hl(t)))](i)+f(t,x(f1(t)),…,x(fl(t)))=g(t), for all t≥t0.
Using the Banach fixed point theorem, we establish the existence results of uncountably many positive solutions for the equation, construct Mann iterative sequences for approximating these positive solutions, and discuss error estimates between the approximate solutions and the positive solutions.
Nine examples are included to dwell upon the importance and advantages of our results.
American Psychological Association (APA)
Liu, Zeqing& Guan, Ling& Lee, Sunhong& Kang, Shin Min. 2013. Existence and Iterative Algorithms of Positive Solutions for a Higher Order Nonlinear Neutral Delay Differential Equation. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-28.
https://search.emarefa.net/detail/BIM-451116
Modern Language Association (MLA)
Liu, Zeqing…[et al.]. Existence and Iterative Algorithms of Positive Solutions for a Higher Order Nonlinear Neutral Delay Differential Equation. Abstract and Applied Analysis No. 2013 (2013), pp.1-28.
https://search.emarefa.net/detail/BIM-451116
American Medical Association (AMA)
Liu, Zeqing& Guan, Ling& Lee, Sunhong& Kang, Shin Min. Existence and Iterative Algorithms of Positive Solutions for a Higher Order Nonlinear Neutral Delay Differential Equation. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-28.
https://search.emarefa.net/detail/BIM-451116
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451116