带强迫项的n阶脉冲微分方程的振动性与渐近性

叶国炳;申建华

系统科学与数学 ›› 2010, Vol. 30 ›› Issue (4) : 501-514.

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系统科学与数学 ›› 2010, Vol. 30 ›› Issue (4) : 501-514. DOI: 10.12341/jssms08967
论文

带强迫项的n阶脉冲微分方程的振动性与渐近性

    叶国炳(1),申建华(2)
作者信息 +

Oscillation and Asymptotic Property of nTh-Order Impulsive Differential Equations with Forcing Term

    YE Guobing(1), SHEN Jianhua(2)
Author information +
文章历史 +

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.

Abstract

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.

Key words

Forcing term / impulsive / differential equation / oscillation / asymptotic property.

引用本文

导出引用
叶国炳 , 申建华. 带强迫项的n阶脉冲微分方程的振动性与渐近性. 系统科学与数学, 2010, 30(4): 501-514. https://doi.org/10.12341/jssms08967
YE Guobing , SHEN Jianhua. Oscillation and Asymptotic Property of nTh-Order Impulsive Differential Equations with Forcing Term. Journal of Systems Science and Mathematical Sciences, 2010, 30(4): 501-514 https://doi.org/10.12341/jssms08967
中图分类号: 34A37   
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