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Positive Solutions of a Second-Order Nonlinear Neutral Delay Difference Equation
Joint Authors
Ume, Jeong Sheok
Kang, Shin Min
Liu, Zeqing
Sun, Wei
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-30, 30 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-26
Country of Publication
Egypt
No. of Pages
30
Main Subjects
Abstract EN
The purpose of this paper is to study solvability of the second-order nonlinear neutral delay difference equation Δ(a(n,ya1n,…,yarn)Δ(yn+bnyn-τ))+f(n,yf1n,…,yfkn)=cn, ∀n≥n0.
By making use of the Rothe fixed point theorem, Leray-Schauder nonlinear alternative theorem, Krasnoselskill fixed point theorem, and some new techniques, we obtain some sufficient conditions which ensure the existence of uncountably many bounded positive solutions for the above equation.
Five nontrivial examples are given to illustrate that the results presented in this paper are more effective than the existing ones in the literature.
American Psychological Association (APA)
Liu, Zeqing& Sun, Wei& Ume, Jeong Sheok& Kang, Shin Min. 2012. Positive Solutions of a Second-Order Nonlinear Neutral Delay Difference Equation. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-30.
https://search.emarefa.net/detail/BIM-451700
Modern Language Association (MLA)
Liu, Zeqing…[et al.]. Positive Solutions of a Second-Order Nonlinear Neutral Delay Difference Equation. Abstract and Applied Analysis No. 2012 (2012), pp.1-30.
https://search.emarefa.net/detail/BIM-451700
American Medical Association (AMA)
Liu, Zeqing& Sun, Wei& Ume, Jeong Sheok& Kang, Shin Min. Positive Solutions of a Second-Order Nonlinear Neutral Delay Difference Equation. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-30.
https://search.emarefa.net/detail/BIM-451700
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451700