Abstract and Applied Analysis

Oscillation of Third-Order Neutral Delay Differential Equations

Tongxing Li, Chenghui Zhang, and Guojing Xing

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Abstract

The purpose of this paper is to examine oscillatory properties of the third-order neutral delay differential equation [ a ( t ) ( b ( t ) ( x ( t ) + p ( t ) x ( σ ( t ) ) ) ) ] + q ( t ) x ( τ ( t ) ) = 0 . Some oscillatory and asymptotic criteria are presented. These criteria improve and complement those results in the literature. Moreover, some examples are given to illustrate the main results.

Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 569201, 11 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1355495619

Digital Object Identifier
doi:10.1155/2012/569201

Mathematical Reviews number (MathSciNet)
MR2872306

Zentralblatt MATH identifier
1232.34097

Citation

Li, Tongxing; Zhang, Chenghui; Xing, Guojing. Oscillation of Third-Order Neutral Delay Differential Equations. Abstr. Appl. Anal. 2012 (2012), Article ID 569201, 11 pages. doi:10.1155/2012/569201. https://projecteuclid.org/euclid.aaa/1355495619


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