Oscillation analysis of certain nonlinear impulsive delay hyperbolic equations with damping term(一类带阻尼项的非线性脉冲时滞双曲型方程的振动性分析)

Abstract

The oscillation problem is investigated for a class of nonlinear impulsive delay hyperbolic equations with damping term. By employing the technique of treating damping term and some known results on first order impulsive delay differential inequalities, some sufficient criteria are obtained for the oscillation of all solutions of such equations under Dirichlet's boundary value condition. The conclusions show that both the impulse and the delay affect the oscillation of the equation.(研究了一类带阻尼项的非线性脉冲双曲型方程的振动性问题。借助阻尼项的处理技巧及一阶脉冲时滞微分不等式的已有结果， 得到了该类方程在Dirichlet边值条件下所有解振动的若干充分性判据。所得结论表明，脉冲量和时滞量均会影响方程的振动性。)

Keywords

• oscillation(振动性)
• hyperbolic equations(双曲型方程)
• impulse(脉冲)
• delay(时滞)
• damping term(阻尼项)