曲阜师范大学学报（自然科学版）2018，Vol.44Issue(1)：1-5,5.DOI:10.3969/j.issn.1001-5337.2018.1.001
高阶非线性泛函微分方程的强迫振动性
Forced Oscillation of Higher-order Nonlinear Functional Differential Equations
摘要
Abstract
In this paper,a class of higher order nonlinear differential equation of forced oscillation x(n) (t) +m∑i=1qi(t)|x(τ(t))|λ(i)-1x(τ(t)) =e(t),t ∈ [t0,∞],n ∈ Nis mainly discussed,whereλi (i =1,2,…,m) are positive constants satisfyingλ1 ＜λ2 ＜ … ＜λm,qi (t);e(t) ∈ C[t 0,∞),τ (t) ∈ C1 [t 0,∞).We impose no restriction on the forcing term e (t) in the equation above.Two cases have been taken into consideration:(i)qi (t)＜0,λi ＞ 1,and τ (t)≤t (≥t);(ii) qi (t) changes its sign,0＜λi＜1,and τ(t)≤t(≥t).关键词
泛函/非线性微分方程/强迫振动Key words
Functional/nonlinear differential equation/forced oscillation分类
数理科学引用本文复制引用
杨君子,徐润..高阶非线性泛函微分方程的强迫振动性[J].曲阜师范大学学报（自然科学版）,2018,44(1):1-5,5.基金项目
National Natural Science Foundation of China (11671227). （11671227）
