摘要
本文研究了一阶中立型非线性方程在允许ｃ＿ｉ（ｔ）（ｉ＝１，２，…，ｍ）振动且的条件下非振动解的渐进性，其中δ＝±１，证明（Ｅ）＿＋最多有Ｓ（０，０）和Ｓ（ｂ，ａ）两种类型的非振动解；（Ｅ）＿最多有Ｓ（０，０）、Ｓ（ｂ，ａ）和Ｓ（∞，∞）三种类型的非振动解。
In this paper we study asymptotic behavior of nonoscillatory solutions of first order neutral nonlinear differential equation of the form under c_i(t)(i=1,2,…,m)oscillating and.Where δ=±1. It is proved that (E)_+has at most two types of nonoscmatory solutions :S(0,0),S(b,a);(E)_has at most three types of nonoscillatory solutions: S(0,0,S(b, a)and S(∞,∞).The result obtained generalizes and improves many known results in the literature.
出处
《甘肃科学学报》
1995年第3期10-13,共4页
Journal of Gansu Sciences
关键词
中立型
微分方程
非振动解
渐近性
非线性
Neutral differential equations
Nonoscillatory solutions
Asymptotic behavior
