一类脉冲中立型微分方程解的渐近性  

Asymptotic Behavior of Solutions for Impulsive Neutral Differential Equations

作　　者：吴威尔 申建华 WU Weier;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）》2024年第6期652-658,共7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：研究了一类具有常数脉冲强迫项的中立型微分方程解的渐近性质.利用不同于Lyapunov泛函的方法,得到了方程的每个振动解和非振动解趋近于0的充分条件.The asymptotic behavior of solutions for a class of neutral differential equations with constant impulsive forcing terms are studied.By using a new method different from Lyapunov function method,the sufficient conditions for each vibrational and non-vibrational solution of the equation to approach zero are obtained.

关 键 词：中立型微分方程 恒定脉冲扰动 振动解 非振动解 

分 类 号：O175[理学—数学]