Article

Oscillation of higher order functional differential equations with positive and negative coefficients and damping term

  • YANG Jia-Shan
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  • Department of Mathematics and Physics, Wuzhou University, Wuzhou Guangxi 543002, China

Online published: 2015-02-07

Abstract

The oscillation for a class of even order nonlinear variable delay damped functional differential equation with positive and negative coefficients and nonlinear neutral term was discussed. By introducing parameter function and the generalized Riccati transformation, using H¨older inequality and some necessary analytic techniques, some new criteria for the oscillation of the equation were proposed. These criteria improve and generalize some known results. Examples were given to illustrate the main results.

Cite this article

YANG Jia-Shan . Oscillation of higher order functional differential equations with positive and negative coefficients and damping term[J]. Journal of East China Normal University(Natural Science), 2014 , 2014(6) : 25 -34 . DOI: 10.3969/j.issn.1000-5641.2014.06.005

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