摘要
本文主要研究二阶非线性中立时滞微分方程[(r(t)(x(t)+p(t)x(σ(t)))'a-1(x(t)+p(t)x(σ(t)))']'+q(t)f(x(τ(t)))g(x'(t))=0.得到方程的一些新的区间振动的结论.推广和改进了相关的结论.
By using an inequality due to Hardy,Littlewood and Polya and averaging functions,new interval oscillation criteria are established,for half-linear neutral delay differential equations of the form
[(r(t) | (x(t) +p(t)x(σ(t)))'|^a-1(x(t) +p(t)x(σ(t)))']' +q(t)f(x(τ(t)))g(x'(t)) =0.
that are different from most known ones in the sense that they are based on the information only on a sequence of subintervals of MYM [t0,∞),rather than on the whole half-line.
出处
《首都师范大学学报(自然科学版)》
2014年第3期3-9,共7页
Journal of Capital Normal University:Natural Science Edition
关键词
区间振动性
二阶
非线性
中立
时滞
interval oscillation
second order
half-linear
neutral
delay