一阶非线性中立型脉冲微分方程解的振动性  

Oscillation of First-order Nonlinear Neutral Impulsive Differential Equations

作　　者：韦晶晶 申建华 WEI Jingjing;SHEN Jianhua(School of Mathematics,Hangzhou Normal University,Hangzhou 311121,China)

机构地区：[1]杭州师范大学数学学院,浙江杭州311121

出　　处：《杭州师范大学学报（自然科学版）》2022年第5期514-524,共11页Journal of Hangzhou Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(12071105,11971143).

摘　　要：研究一类一阶非线性中立型脉冲微分方程(x(t)-p(t)x(t-τ))′+f(t,x(t-σ))=0,t≥t 0,t≠t k,x(t+k)=b kx(t k),k=1,2,…解的振动性质,得到了若干振动准则,同时给出了某些应用.The oscillation properties of the solutions to the first-order nonlinear neutral impulsive differential equations were studied in this paper.(x(t)-p(t)x(t-τ))′+f(t,x(t-σ))=0,t≥t 0,t≠t k,x(t k+)=b kx(t k),k=1,2,….Some oscillation criteria were obtained and some applications were given.

关 键 词：脉冲微分方程 中立型 振动性 

分 类 号：O175[理学—数学]