Solvability of a Second Order Nonlinear Neutral Delay Difference Equation

Joint Authors

Ume, Jeong Sheok
Kang, Shin Min
Liu, Zeqing
Zhao, Liangshi

Source

Abstract and Applied Analysis

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-24, 24 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-12-26

Country of Publication

Egypt

No. of Pages

24

Main Subjects

Mathematics

Abstract EN

This paper studies the second-order nonlinear neutral delay difference equation Δ[anΔ(xn+bnxn−τ)+f(n,xf1n,…,xfkn)]+g(n,xg1n,…,xgkn)=cn, n≥n0.

By means of the Krasnoselskii and Schauder fixed point theorem and some new techniques, we get the existence results of uncountably many bounded nonoscillatory, positive, and negative solutions for the equation, respectively.

Ten examples are given to illustrate the results presented in this paper.

American Psychological Association (APA)

Liu, Zeqing& Zhao, Liangshi& Ume, Jeong Sheok& Kang, Shin Min. 2011. Solvability of a Second Order Nonlinear Neutral Delay Difference Equation. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-24.
https://search.emarefa.net/detail/BIM-463961

Modern Language Association (MLA)

Liu, Zeqing…[et al.]. Solvability of a Second Order Nonlinear Neutral Delay Difference Equation. Abstract and Applied Analysis No. 2011 (2011), pp.1-24.
https://search.emarefa.net/detail/BIM-463961

American Medical Association (AMA)

Liu, Zeqing& Zhao, Liangshi& Ume, Jeong Sheok& Kang, Shin Min. Solvability of a Second Order Nonlinear Neutral Delay Difference Equation. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-24.
https://search.emarefa.net/detail/BIM-463961

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-463961