![](/images/graphics-bg.png)
Existence of Nonoscillatory Solutions for a Third-Order Nonlinear Neutral Delay Differential Equation
Joint Authors
Kang, Shin Min
Liu, Zeqing
Cho, Sun Young
Chen, Lin
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-08-15
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
The aim of this paper is to study the solvability of a third-order nonlinear neutral delay differential equation of the form {α(t)[β(t)(x(t)+p(t)x(t−τ))′]′}′+f(t,x(σ1(t)),x(σ2(t)),…,x(σn(t)))=0, t≥t0.
By using the Krasnoselskii's fixed point theorem and the Schauder's fixed point theorem, we demonstrate the existence of uncountably many bounded nonoscillatory solutions for the above differential equation.
Several nontrivial examples are given to illustrate our results.
American Psychological Association (APA)
Liu, Zeqing& Chen, Lin& Kang, Shin Min& Cho, Sun Young. 2011. Existence of Nonoscillatory Solutions for a Third-Order Nonlinear Neutral Delay Differential Equation. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-23.
https://search.emarefa.net/detail/BIM-491137
Modern Language Association (MLA)
Liu, Zeqing…[et al.]. Existence of Nonoscillatory Solutions for a Third-Order Nonlinear Neutral Delay Differential Equation. Abstract and Applied Analysis No. 2011 (2011), pp.1-23.
https://search.emarefa.net/detail/BIM-491137
American Medical Association (AMA)
Liu, Zeqing& Chen, Lin& Kang, Shin Min& Cho, Sun Young. Existence of Nonoscillatory Solutions for a Third-Order Nonlinear Neutral Delay Differential Equation. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-23.
https://search.emarefa.net/detail/BIM-491137
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-491137