摘要
研究一类具连续分布滞量的高阶中立型方程{a(t)Ψ(x(t))[x(t)+∑mi=1ci(t)x(τi(t))](n-1)}′+∫baq(t,ξ)x(g(t,ξ))dσ(ξ)=0的振动性,利用Riccati变换并运用分析方法和技巧,得到了该类方程新的振动准则,所得结论推广和改进了已知文献的部分结果。
Oscillatory theorems of higher-order neutral equations with continuous distributed delay of the form:｛a(t)Ψ(x(t))[x(t)+∑mi=1c_i(t)x(τ_i(t))]^((n-1))｝′+∫~b_aq(t,ξ)x(g(t,ξ))dσ(ξ)=0are investigated,Bying generalized Riccati transformation and using analytic method and technique,Some new oscillation criteria of the equation are obtained.The some known results in the lierature are improved and generalized.
出处
《河北省科学院学报》
CAS
2004年第1期4-7,共4页
Journal of The Hebei Academy of Sciences
