An oscillation theorem for a class of second-order forced neutral delay differential equations with mixed nonlinearities

作者：Zhong, Jichao; Ouyang, Zigen^*; Zou, Shuliang

来源：Applied Mathematics Letters, 2011, 24(8): 1449-1454.

DOI：10.1016/j.aml.2011.03.030

• Oscillation
• Second-order
• Forced neutral delay differential equation
• Nonlinear
• Eventually positive solution

A class of second-order forced neutral delay differential equation with mixed nonlinearities
(r(t)|x'(t) + px'(t - sigma)|(alpha-1)(x'(t) + px'(t - sigma)))' + q(0)(t)|x(tau(0)(t))|(alpha-1)x(tau(0)(t))
+ Sigma(n)(i=1)q(i)(t)|x(tau i(t))|(beta i=1)x(tau(i)(t)) = e(t)sgn(x(t))
is investigated in this paper. Using a new method, we obtain some new sufficient conditions for the oscillation of the above equation, and some known oscillation criteria have been extended.

• 出版日期2011-8
• 单位南华大学