摘要
考虑两类带有分布型超前或滞后量的方程 (Ⅰ)x'(t)=a(t)x(t)+φ, (Ⅱ)x'(t)=a(t)x(t)-φ.其中β(t)>a(t),t+a(t)→∞(t→∞),f(x)和φ(u)是满足某些条件的非线性函数。 本文给出了方程(Ⅰ)和(Ⅱ)的所有解振动的若干充分性判定定理。作为应用,我们又讨论了如下方程的振动性,并给出了相应的判定准则。 (Ⅲ)x'(t)=a(t)x(t)+φ[sum from i=1 to n a_i(t)f(x(t+τ_i(t)))], (Ⅳ)x'(t)=a(t)x(t)-φ[sum from i=1 to n a_i(t)f(x(t+τ_i(t)))] 本文的结果是张炳根的若干结果的推广。
This paper gives some oscillation results on two kinds of first-order nonlinear functional differential equations, which generalize the corresponding results by B.G.Zhang
出处
《青岛海洋大学学报(自然科学版)》
CSCD
1990年第3期123-137,共15页
Journal of Ocean University of Qingdao
基金
Research supported by National Natural Scientific Fundation of China
关键词
非线性
泛函微分方程
振动性
Oscillation
functional differential equations
distributive advanced or retarded argument