Oscillation of functional trinomial differential equations with positive and negative term

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摘要

In the paper, we establish new technique for investigation of properties of trinomial differential equations with positive and negative term (b(t)(a(t)x′(t))′)′+p(t)f(x(τ(t)))−q(t)h(x(σ(t)))=0.We offer new criteria for asymptotic properties of nonoscillatory solutions for the studied equations. We support our results with illustrative examples.

论文关键词:Third order differential equations,Advanced argument,Oscillation

论文评审过程:Received 9 May 2014, Revised 7 September 2016, Accepted 3 October 2016, Available online 14 October 2016, Version of Record 14 October 2016.

论文官网地址:https://doi.org/10.1016/j.amc.2016.10.003