## Taiwanese Journal of Mathematics

### OSCILLATION OF THIRD-ORDER NONLINEAR DELAY DIFFERENTIAL EQUATIONS

#### Abstract

In this paper, we study the oscillatory behavior of a class of third-order nonlinear delay differential equations $$(a(t) (b(t) y'(t))')' + q(t) y^\gamma(\tau(t)) = 0.$$ 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.

#### Article information

Source
Taiwanese J. Math., Volume 17, Number 2 (2013), 545-558.

Dates
First available in Project Euclid: 10 July 2017

https://projecteuclid.org/euclid.twjm/1499705953

Digital Object Identifier
doi:10.11650/tjm.17.2013.2095

Mathematical Reviews number (MathSciNet)
MR3044522

Zentralblatt MATH identifier
1286.34099

#### Citation

Agarwal, Ravi; Bohner, Martin; Li, Tongxing; Zhang, Chenghui. OSCILLATION OF THIRD-ORDER NONLINEAR DELAY DIFFERENTIAL EQUATIONS. Taiwanese J. Math. 17 (2013), no. 2, 545--558. doi:10.11650/tjm.17.2013.2095. https://projecteuclid.org/euclid.twjm/1499705953

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