On the oscillation of certain third order nonlinear functional differential equations

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摘要

We offer some sufficient conditions for the oscillation of all solutions of third order nonlinear functional differential equations of the formddta(t)d2dt2x(t)α+q(t)f(x[g(t)])=0andddta(t)d2dt2x(t)α=q(t)f(x[g(t)])+p(t)h(x[σ(t)]),when ∫∞a-1/α(s)ds<∞. The case when ∫∞a-1/α(s)ds=∞ is also included.

论文关键词:Functional differential equation,Oscillation,Nonoscillation,Comparison

论文评审过程:Available online 5 February 2008.

论文官网地址:https://doi.org/10.1016/j.amc.2008.01.025