Positive Solutions and Mann Iterations of a Fourth Order Nonlinear Neutral Delay Differential Equation

This paper deals with a fourth order nonlinear neutral delay differential equation. By using the Banach fixed point theorem, we establish the existence of uncountably many bounded positive solutions for the equation, construct several Mann iterative sequences with mixed errors for approximating thes...

Full description

Saved in:
Bibliographic Details
Published in:Abstract and Applied Analysis 2014-01, Vol.2014 (2014), p.144-165
Main Authors: Kang, Shin Min, Ume, Jeong Sheok, Zhu, Jingjing, Liu, Zeqing
Format: Article
Language:English
Subjects:
Delay equations
Differential equations
Differential equations, Nonlinear
Fixed point theory
Iterative methods (Mathematics)
Mathematical research
Mathematics
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper deals with a fourth order nonlinear neutral delay differential equation. By using the Banach fixed point theorem, we establish the existence of uncountably many bounded positive solutions for the equation, construct several Mann iterative sequences with mixed errors for approximating these positive solutions, and discuss some error estimates between the approximate solutions and these positive solutions. Seven nontrivial examples are given.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/105719