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

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

Abstract and Applied Analysis, 2014, vol. 2014, 1-22

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:105719

DOI: 10.1155/2014/105719

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