关键词: 振动性, 广义弹性杆方程, 脉冲, 中立项, 非线性

Abstract: By using a new technique of treating neutral term and some results of first order impulsive delay differential inequalities, we investigated the oscillation problems for a class of nonlinear generalized elastic rod equations with impulse and neutral term, and established sufficient criteria for the oscillation of all solutions of this class of elastic rod equations under the third kind of boundary conditions. The obtained results reflect the decisive function of impulsive perturbation and delay effect in the oscillation of elastic rod structures.

Key words: oscillation, generalized elastic rod equation, impulse, neutral term, nonlinearity