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一类四阶非线性微分方程三点边值问题正解的存在性
  • ISSN号：1671-1815
  • 期刊名称：《科学技术与工程》
  • 时间：0
  • 分类：O175.21[理学—数学;理学—基础数学]
  • 作者机构：[1]山东师范大学数学科学学院,济南250014
  • 相关基金：国家自然科学基金（10571111）和山东省自然科学基金（Y2007A10）资助
作者： 邓晓波[1], 杨缙[2], 刘衍胜[1]
关键词： 脉冲泛函微分系统, 一致渐近稳定Lyapunov函数, RAZUMIKHIN技巧, impulsive functional differential sysems razumikhin technique uniform asymptotic stability lyapunov functions
中文摘要：

主要考虑脉冲函数在每一个时刻有同一时滞的脉冲泛函数微分系统，通过Lyapunov函数以及Razumikhin技巧的应用，得出了关于这类系统的零解的一致渐近稳定性的充分条件，并给出定理的应用。

英文摘要：

The stability of the impulsive functional differential systems is considered in which the state variables on the impulses are related to the finite delays. By using the Lyapunov functions and Razumikhin technique, some suffeient conditions are obtained for the uniform asymptotic stability of these systems. In addition, an example is also given to illustrate the applicability of the result.

同期刊论文项目
非线性脉冲微分系统定性研究及应用
期刊论文 63 著作 2
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期刊信息
  • 《科学技术与工程》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学技术协会
  • 主办单位:中国技术经济学会
  • 主编：明廷华
  • 地址：北京市学院南路86号
  • 邮编：100081
  • 邮箱：ste@periodicals.net.cn
  • 电话：010-62118920
  • 国际标准刊号：ISSN：1671-1815
  • 国内统一刊号：ISSN：11-4688/T
  • 邮发代号:2-734
  • 获奖情况:
  • 国内外数据库收录:
  • 中国中国科技核心期刊,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:29478