应用数学
應用數學
응용수학
MATHEMATICA APPLICATA
2004年
1期
132-137
,共6页
区间振动%中立型微分方程%二阶
區間振動%中立型微分方程%二階
구간진동%중립형미분방정%이계
Interval oscillation criteria%Neutral differential equation%Second order
利用平均函数技巧,对二阶中立型微分方程[a(t)(x(t)+p(t)x(t-τ))']'+q(t)f[x(t),x(t-σ)]g[x'(t)]=0建立了一些区间振动准则,这些振动准则不同于已知依赖于整个区间[t0,∞)的性质的结果,而是仅依赖于[t0,∞)上的子区间列的性质.
利用平均函數技巧,對二階中立型微分方程[a(t)(x(t)+p(t)x(t-τ))']'+q(t)f[x(t),x(t-σ)]g[x'(t)]=0建立瞭一些區間振動準則,這些振動準則不同于已知依賴于整箇區間[t0,∞)的性質的結果,而是僅依賴于[t0,∞)上的子區間列的性質.
이용평균함수기교,대이계중립형미분방정[a(t)(x(t)+p(t)x(t-τ))']'+q(t)f[x(t),x(t-σ)]g[x'(t)]=0건립료일사구간진동준칙,저사진동준칙불동우이지의뢰우정개구간[t0,∞)적성질적결과,이시부의뢰우[t0,∞)상적자구간렬적성질.
By means of the averaging technique,we obtain new oscillation criteria for second order neutral differential equation [a(t) (x(t) + p(t) x(t -τ))']' + q(t) f[x(t) ,x(t -σ) ]g'[x'(t) ] = 0.These results are different from most known ones in the sense that they are based on the information only on a sequence of subintervals of [t0 ,∞), rather than on the whole half-linear.
