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2014 Positive Solutions and Mann Iterations of a Fourth Order Nonlinear Neutral Delay Differential Equation
Zeqing Liu, Jingjing Zhu, Jeong Sheok Ume, Shin Min Kang
Abstr. Appl. Anal. 2014: 1-22 (2014). DOI: 10.1155/2014/105719

Abstract

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.

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Zeqing Liu. Jingjing Zhu. Jeong Sheok Ume. Shin Min Kang. "Positive Solutions and Mann Iterations of a Fourth Order Nonlinear Neutral Delay Differential Equation." Abstr. Appl. Anal. 2014 1 - 22, 2014. https://doi.org/10.1155/2014/105719

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07021747
MathSciNet: MR3216031
Digital Object Identifier: 10.1155/2014/105719

Rights: Copyright © 2014 Hindawi

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