摘要
就偶数阶中立型时滞微分方程的所有有界解的振动性而言，研究了偶数阶非 线性中立型时滞微分方程［ｘ（ｔ）－ｐ（ｔ）ｘ（ｔ－τ）］－ｑ（ｔ）ｈ（ｘ（ｔ－σ））＝０和与它相应的 线性方程［ｘ（ｔ）－ｐ_０ｘ（ｔ－τ）］－ｑ-０ｘ（ｔ－τ）＝０在振动性上的等价性．所得结果改进 了 Ｌａｄａｓ Ｇ，和 Ｑｉａｎ Ｃ．的一个结果．
We are concerned with the oscillation of all bounded solutions of some even order neutral delay nonlinear differential equation [x(t)-p(t)x(t-τ)]-q(t)h(x(t - σ))=0 and its corresponding linear equation [x(t)-p_0(t)x(t-τ)]-q-0(t)x(t-σ) = 0 for their oscillations. Our result improves a result which is obtained by Ladas and Qian.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2000年第3期531-534,共4页
Acta Mathematica Sinica：Chinese Series
基金
云南省应用基础研究基金!(97A011G)
