Bounded Positive Solutions for a Third Order Discrete Equation
Joint Authors
Kang, Shin Min
Jia, Ming
Kwun, Young Chel
Liu, Zeqing
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-05
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper studies the following third order neutral delay discrete equation Δ(anΔ2(xn+pnxn-τ))+f(n,xn-d1n,…,xn-dln)=gn,n≥n0, where τ,l∈ℕ, n0 ∈ℕ∪{0}, {an}n∈ℕn0, {pn}n∈ℕn0, {gn}n∈ℕn0 are real sequences with an≠0 for n≥n0, {din}n∈ℕn0⊆ℤ with lim n→∞(n-din)=+∞ for i∈{1,2,…,l} and f∈C(ℕn0×ℝl,ℝ).
By using a nonlinear alternative theorem of Leray-Schauder type, we get sufficient conditions which ensure the existence of bounded positive solutions for the equation.
Three examples are given to illustrate the results obtained in this paper.
American Psychological Association (APA)
Liu, Zeqing& Jia, Ming& Kang, Shin Min& Kwun, Young Chel. 2012. Bounded Positive Solutions for a Third Order Discrete Equation. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-456212
Modern Language Association (MLA)
Liu, Zeqing…[et al.]. Bounded Positive Solutions for a Third Order Discrete Equation. Abstract and Applied Analysis No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-456212
American Medical Association (AMA)
Liu, Zeqing& Jia, Ming& Kang, Shin Min& Kwun, Young Chel. Bounded Positive Solutions for a Third Order Discrete Equation. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-456212
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456212