On Positive Solutions of a Fourth Order Nonlinear Neutral Delay Difference Equation

Liu, Zeqing; Zhang, Xiaoping; Kang, Shin Min; Kwun, Young Chel

doi:10.1155/2014/238036

Abstract and Applied Analysis

2014

DOI: 10.1155/2014/238036

|View full text |Cite

On Positive Solutions of a Fourth Order Nonlinear Neutral Delay Difference Equation

Zeqing Liu

Xiaoping Zhang

Shin Min Kang

et al.

Abstract: The existence results of uncountably many bounded positive solutions for a fourth order nonlinear neutral delay difference equation are proved by means of the Krasnoselskii’s fixed point theorem and Schauder’s fixed point theorem. A few examples are included.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2016

Publication Types

Select...

Article1

Relationship

Self Cite1

Independent0

Authors

Journals

Cited by 1 publication

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Positive Solutions and Mann Iterative Algorithms for a Second-Order Nonlinear Difference Equation

Liu

Kang

et al. 2016

Journal of Function Spaces

Self Cite

View full text Add to dashboard Cite

This paper deals with the second-order nonlinear neutral delay difference equationΔ(anh(xn-τ1n,xn-τ2n,…,xn-τmn)Δ(xn-qnxn-τ0))+f(n,xn-σ1n,xn-σ2n,…,xn-σkn)=bn,n≥n0. Using the Banach fixed point theorem, Mann iterative method with errors, and some new techniques, we prove the existence of uncountably many positive solutions and the convergence of the sequences generated by the Mann iterative method with errors relative to these solutions for the above equation. Six examples are included. Our results extend and improve essentially the known results in this field.

show abstract

Positive Solutions and Mann Iterative Algorithms for a Second-Order Nonlinear Difference Equation

Liu

Kang

et al. 2016

Journal of Function Spaces

Self Cite

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

On Positive Solutions of a Fourth Order Nonlinear Neutral Delay Difference Equation

Abstract: The existence results of uncountably many bounded positive solutions for a fourth order nonlinear neutral delay difference equation are proved by means of the Krasnoselskii’s fixed point theorem and Schauder’s fixed point theorem. A few examples are included.

Cited by 1 publication

References 31 publications

Positive Solutions and Mann Iterative Algorithms for a Second-Order Nonlinear Difference Equation

Positive Solutions and Mann Iterative Algorithms for a Second-Order Nonlinear Difference Equation

Contact Info

Product

Resources

About