二阶拟线性中立型时滞微分方程的振动性(英文)  

OSCILLATIONS OF SECOND ORDER QUASILINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS

作　　者：蒋建初 

机构地区：[1]湖南娄底师范专科学校数学系,娄底417000

出　　处：《数学杂志》2002年第3期277-280,共4页Journal of Mathematics

基　　金：Supported by teh Science Foundation of Hunan Educational Committee.

摘　　要：考虑二阶中立型时滞微分方程[a(t) |(x(t) +p(t) x(t-τ) )′|α-1 (x(t) +p(t) x(t-τ) )′]′+f (t,x(t-σ) ) =0 (E)其中α,τ,σ是非负常数 ,a(t) ,p(t)∈ C([t0 ,∞ ) ,R) ,f (t,x)∈ C(R,R) .建立了方程 (E)的一些新的振动条件 .Consider the second order quasilinear neutral differential equation[a(t)|(x(t)+p(t)x(t-τ))′| α-1 (x(t)+p(t)x(t-τ))′]′+f(t,x(t-σ))=0 (E) Where α, τ and σ are nonnegative constants, a(t), p(t)∈C([t 0,∞),R) and f(t,x)∈C(R, R) . Some new oscillation conditions for Eq. (E) are established. [WT5'HZ]

关 键 词：拟线性 中立型时滞微分方程 广义黎卡提变换 振动 

分 类 号：O175.1[理学—数学]