一类脉冲时滞双曲型方程解的振动性(英文)

Oscillation Behavior of Solutions for a Class of Delay Impulsive Hyperbolic Functional Differential Equations

利用Robin特征值方法,对如下的脉冲时滞方程utt(x,t)=a(t)Δu(x,t)+b(t)Δu(x,t-δ),-h(x,t)u(x,t-σ)-q(x,t)f[u(x,t-ρ)],u(x,t+k)-u(x,t+k)=cku(x,tk),ut(x,t+k)-ut(x,t+k)=ckut(x,tk), t≠tk,k=1,2,3,…,k=1,2,3…的振动性进行了讨论,并得到了方程振动的充分条件.

The authors discussed the oscillation behavior for impulsive hyperbolic functional differential equations with two different boundary conditions, and obtained several oscillation criteria.