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摘要
In this article, we study the oscillation and asymptotic behavior of solutions to the nonlinear delay differential equation x((n 3))(t) p(t)x((n))(t) q(t)f(x(g(t))) = 0. By using a generalized Riccati transformation and an integral averaging technique, we establish sufficient conditions for all solutions to oscillate, or to converge to zero. Especially when the delay has the form g(t) = alpha t - tau, we provide two convenient oscillatory criteria. Some examples are given to illustrate our results.
- 出版日期2014-9-3
- 单位广东技术师范大学
