Oscillation of Second-Order Neutral Functional Differential Equations with Mixed Nonlinearities

Shurong Sun, Tongxing Li, Zhenlai Han and Yibing Sun

Abstract and Applied Analysis, 2011, vol. 2011, 1-15

Abstract:

We study the following second-order neutral functional differential equation with mixed nonlinearities ( ?? ( ?? ) | ( ?? ( ?? ) + ?? ( ?? ) ?? ( ?? - ?? ) ) ' | ?? - 1 ( ?? ( ?? ) + ?? ( ?? ) ?? ( ?? - ?? ) ) ? ) ? + ?? 0 ( ?? ) | ?? ( ?? 0 ( ?? ) ) | ?? - 1 ?? ( ?? 0 ( ?? ) ) + ?? 1 ( ?? ) | ?? ( ?? 1 ( ?? ) ) | ?? - 1 ?? ( ?? 1 ( ?? ) ) + ?? 2 ( ?? ) | ?? ( ?? 2 ( ?? ) ) | ?? - 1 ?? ( ?? 2 ( ?? ) ) = 0 , where ?? > ?? > ?? > 0 , ? 8 ?? 0 ( 1 / ?? 1 / ?? ( ?? ) ) d ?? < 8 . Oscillation results for the equation are established which improve the results obtained by Sun and Meng (2006), Xu and Meng (2006), Sun and Meng (2009), and Han et al. (2010).

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:927690

DOI: 10.1155/2011/927690

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