Oscillation of second-order variable delay differential equations with nonlinear neutral term

doi:10.3969/j.issn.1000-5641.2016.04.004

Abstract

Abstract:

We study the oscillatory behavior of a certain class of second-order variable delay nonlinear functional differential equations with a nonlinear neutral term in this article. By using the generalized Riccati transformation and some necessary analytic techniques, we establish two new oscillation criteria for the oscillation of the equations. In particular, the results obtained improve those presented in the literature.

Key words: oscillation, variable delay, functional differential equation, nonlinear neutral term, Riccati transformation

YANG Jia-shan. Oscillation of second-order variable delay differential equations with nonlinear neutral term[J]. Journal of East China Normal University(Natural Sc, doi: 10.3969/j.issn.1000-5641.2016.04.004.

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