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

Joint Authors

Ume, Jeong Sheok
Kang, Shin Min
Zhu, Jingjing
Liu, Zeqing

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-22, 22 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-05-29

Country of Publication

Egypt

No. of Pages

22

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Liu, Zeqing& Zhu, Jingjing& Ume, Jeong Sheok& Kang, Shin Min. 2014. Positive Solutions and Mann Iterations of a Fourth Order Nonlinear Neutral Delay Differential Equation. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-22.
https://search.emarefa.net/detail/BIM-1033529

Modern Language Association (MLA)

Liu, Zeqing…[et al.]. Positive Solutions and Mann Iterations of a Fourth Order Nonlinear Neutral Delay Differential Equation. Abstract and Applied Analysis No. 2014 (2014), pp.1-22.
https://search.emarefa.net/detail/BIM-1033529

American Medical Association (AMA)

Liu, Zeqing& Zhu, Jingjing& Ume, Jeong Sheok& Kang, Shin Min. Positive Solutions and Mann Iterations of a Fourth Order Nonlinear Neutral Delay Differential Equation. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-22.
https://search.emarefa.net/detail/BIM-1033529

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1033529