Abstract
In this paper, we study the oscillatory behavior of a class of third-order nonlinear delay differential equations (a(t)(b(t)y′(t)) ′) ′+q(t)yγ(τ(t)) =0. Some new oscillation criteria are presented by transforming this equation to the first order delayed and advanced differential equations. Employing suitable comparison theorems, we establish new results on oscillation of the studied equation. Assumptions in our theorems are less restrictive; these criteria improve those in the recent paper [Appl. Math. Comput., 202 (2008), 102-112] and related contributions to the subject. Examples are provided to illustrate new results.
Recommended Citation
R. P. Agarwal et al., "Oscillation of Third-order Nonlinear Delay Differential Equations," Taiwanese Journal of Mathematics, vol. 17, no. 2, pp. 545 - 558, The Mathematical Society of the Republic of China, Mar 2013.
The definitive version is available at https://doi.org/10.11650/tjm.17.2013.2095
Department(s)
Mathematics and Statistics
Publication Status
Open Access
Keywords and Phrases
Delay differential equation; Oscillatory solution; Third-order nonlinear equation
International Standard Serial Number (ISSN)
1027-5487
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 The Mathematical Society of the Republic of China, All rights reserved.
Publication Date
27 Mar 2013
