【摘要】 研究具有正负系数的中立型时滞微分方程d2dt2[y(t)-p(t)y(t-τ)]+q(t)f(y(t-σ))=0其中p(t)∈C([t0,+∞),R),q(t)∈C([0,+∞,[0,+∞)),τ,σ∈(0,+∞),对于上面方程非振动解的存在性,得到一个用∫∞sq(s)ds<∞来表示的充分条件,推广了[2]的结果·更多还原

【Abstract】 In this paper,consider the neuteral delay differential equation with positive and negative coefficients [SX（]d²dt²[y（t）-p（t）y（t-τ）]+q（t）f（y（t-σ））=0 where p（t）∈C（[t₀,+∞）,R）,q（t）∈C（[0,+∞,[0,+∞）),τ,σ∈（0,+∞）.Some sufficent conditions for the existence of a nonoscillatory solution to the above equation express in the term of ∫^∞sq（s）ds<∞ are obtained.The results extend some conclusions in [2].更多还原