具有非线性时滞的双曲型微分方程解振动的充分条件

Sufficient Conditions for Oscillation of Solutions of a Nonlinear Delayed Hyperbolic Differential Equations

给出具有非线性时滞的双曲型微分方程定解问题２ｕｔ２＝ａ（ｔ）Δｕ＋ｓｉ＝１ａｉ（ｔ）Δｕ（ｘ，ｔ－ρｉ（ｔ））－ｆ（ｘ，ｔ，ｕ）－ｋｊ＝１ｇｊ（ｘ，ｔ，ｕ（ｘ，ｔ－σｊ）），ｕ＝０，（ｘ，ｔ）∈Ω×〔０，∞），其中（ｘ，ｔ）∈Ω×（０，∞）的解振动的几个充分条件．

Sufficient conditions are obtained for oscillation of solutions of a nonlinear delayed hyperbolic differential equations  2ut 2=a(t)Δu+si=1a i(t)Δu(x,t-ρ i(t))-f(x,t,u)-kj=1g j(x,t,u(x,t-σ j)),(x,t)∈Ω×(0,∞) with u=0,(x,t)∈Ω× 0,∞).