Abstract and Applied Analysis

Oscillation Theorems for Second-Order Quasilinear Neutral Functional Differential Equations

Shurong Sun, Tongxing Li, Zhenlai Han, and Hua Li

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Abstract

New oscillation criteria are established for the second-order nonlinear neutralfunctional differential equations of the form ( r ( t ) | z ( t ) | α 1 z ( t ) ) + f ( t , x [ σ ( t ) ] ) = 0 , t t 0 , where z ( t ) = x ( t ) + p ( t ) x ( τ ( t ) ) , p C 1 ( [ t 0 , ) , [ 0 , ) ) , and α 1 . Our results improve andextend some known results in the literature. Some examples are also provided to show theimportance of these results.

Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 819342, 17 pages.

Dates
First available in Project Euclid: 1 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1364846436

Digital Object Identifier
doi:10.1155/2012/819342

Mathematical Reviews number (MathSciNet)
MR2947762

Zentralblatt MATH identifier
1251.34083

Citation

Sun, Shurong; Li, Tongxing; Han, Zhenlai; Li, Hua. Oscillation Theorems for Second-Order Quasilinear Neutral Functional Differential Equations. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 819342, 17 pages. doi:10.1155/2012/819342. https://projecteuclid.org/euclid.aaa/1364846436


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