Oscillation and nonoscillation of second order differential equations with delay depending on the unknown function

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摘要

Oscillation and nonoscillation of the second order differential equation with delay depending on the unknown function(r(t)x′(t))′+f(t,x(t),x(▵(t,x(t))))=0in the case when ∫∞ds/r(s)<∞ holds are consider. The results obtained in this paper can be conjugated with the theorems given by Bainov et al. [J. Comput. Appl. Math. 91 (1998) 87–96].

论文关键词:34C10,34k15,Oscillation,Nonoscillation,Asymptotic behavior,Second order differential equations,Delay depending on the unknown function

论文评审过程:Received 22 February 2006, Revised 18 February 2007, Available online 12 March 2007.

论文官网地址:https://doi.org/10.1016/j.cam.2007.03.001