井冈山大学学报（自然科学版）Issue(3)：17-21,5.DOI:10.3969/j.issn.1674-8085.2014.03.004
时标上的二阶中立型泛函微分方程的周期解
PERIODIC SOLUTION OF SECOND-ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS ON TIME SCALES
摘要
Abstract
We consider one type of second-order neutral functional differential equations on time scales. By applying the continuation theorem of coincidence degree theory, we establish the existence of periodic solutions to the equation (x(t)-c(t)x(t-τ))∆∆=-a(t)f(x(t))x∆(t)-nΣi=1bi(t)gi(t,x(t-τi(t))) where a,bi and τi∈C(T,R)are ω-periodic functions,τis a constant delay and τ>0,0≤c(t)<1,gi∈C(T×R,R+),I=1,2,...,n are non-decreasing with respect to their second arguments andω-periodic with respect to their first arguments, respectively.关键词
周期解/二阶中立型泛函微分方程/延拓定理/时标Key words
periodic solution/second-order neutral functional differential equation/continuation theorem/time scales分类
数理科学引用本文复制引用
庞丽艳..时标上的二阶中立型泛函微分方程的周期解[J].井冈山大学学报（自然科学版）,2014,(3):17-21,5.基金项目
宁夏回族自治区自然科学基金项目(NZ13215)；宁夏师范学院校级科研项目(YB201438) （NZ13215）
