带强迫项的n阶脉冲微分方程的振动性与渐近性  

OSCILLATION AND ASYMPTOTIC PROPERTY OF nTH-ORDER IMPULSIVE DIFFERENTIAL EQUATIONS WITH FORCING TERM

作　　者：叶国炳[1,2] 申建华[3,2] 

机构地区：[1]湖南工业大学理学院,株洲412008 [2]湖南师范大学数学与计算机科学学院,长沙410081 [3]杭州师范大学理学院,杭州310036

出　　处：《系统科学与数学》2010年第4期501-514,共14页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(10571050)资助项目

摘　　要：给出引理,解决了一类带强迫项的n阶脉冲微分方程的非振动解与其各阶导数的符号关系,得到其振动性与渐近性的判别准则,并举例说明准则的有效性.This paper presents a lemma to deal with the sign relation between the non- oscillatory solutions with their derived functions for a class of nth-order impulsive differential equations with forcing term. Some criterions about the oscillation and asymptotic property of the solutions to the equations are obtained. Finally two examples are given to illustrate the effectiveness of these criterions.

关 键 词：强迫项 脉冲 微分方程 振动性 渐近性 

分 类 号：O175[理学—数学]