期刊信息
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- 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
- 主办: 河北师范大学
- ISSN: 1000-5854
- CN: 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
Oscillation Theorem for Odd Order Neutral Differential Equations
摘要/Abstract
摘要:
考虑奇数阶微分方程(a(t)ψ(x(t))(x(t)+c(t)x(t-τ))(n-1))′+∫abp(t,ξ)x(g(t,ξ))dσ(ξ)=0,通过构造Raccati变换,对0≤c(t)≤1,-1≤c(t)≤0,c(t)<-1,c(t)≡c>0,分别得到了其解振动的充要条件.其中n≥1是奇数,τ是正常数.
Abstract:
Consider odd order differential equation (a(t)ψ(x(t))(x(t)+c(t)x(t-τ))(n-1))′+∫abp(t,ξ)x(g(t,ξ))dσ(ξ)=0,using Riccati transformation,get the oscillation criteria respectively for 0≤c(t)≤1,-1≤c(t)≤0,c(t)<-1,c(t)≡c>0. where n ≥1 is an odd integer,τ is a positive constant.
关键词
Key words:
neutral differential equation
;
oscillation
;
nonlinear