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含有连续分布时滞二阶非线性中立型微分方程的振动性
  • ISSN号：1673-4602
  • 期刊名称：青岛理工大学学报
  • 时间：2014.8.30
  • 页码：102-107
  • 分类：O175.14[理学—数学;理学—基础数学]
  • 作者机构：[1]青岛理工大学(临沂)工程管理系,费县273400, [2]西安交通大学电子与信息工程学院,西安710049, [3]曲阜师范大学数学科学学院,曲阜273165
  • 相关基金：国家自然科学基金资助项目（11171178）;山东省自然科学基金资助项目（ZR2012AL03）
  • 相关项目：哈密顿系统的定性理论与渐近性理论
作者： 范敏|田亚州|孟凡伟|
关键词： 分布时滞, 中立微分方程, 振动性, distributed delay, neutral differential equation, oscillation
中文摘要：

研究了一类含有连续分布时滞的二阶非线性中立型微分方程的振动性.利用推广的Riccati变换和算子法,得到了该方程一切解均为振动的若干新的振动准则.推广和改进了已有文献中的主要结果,给出了一个例子说明结果的优越性.

英文摘要：

In this paper, a class of second-order nonlinear neutral differential equations with continuous distributed deiay are studied. By using the generalized Riccati transformation and the operator technique, it establishes several new oscillation criteria for all solutions of the equations, which generalize and improve some results. An example is given to illustrate the superiority of our main results.

同期刊论文项目
哈密顿系统的定性理论与渐近性理论
期刊论文 60
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期刊信息
  • 《青岛理工大学学报》
  • 主管单位:山东省教育厅
  • 主办单位:青岛理工大学
  • 主编：王亚军
  • 地址：山东省青岛市抚顺路11号
  • 邮编：266033
  • 邮箱：xbb@qut.edu.cn
  • 电话：0532-85071719
  • 国际标准刊号：ISSN：1673-4602
  • 国内统一刊号：ISSN：37-1440/N
  • 邮发代号:
  • 获奖情况:
  • 1989年国家教委自然科学学报质量评比三等奖,建设系统自然科学学报质量评比一等奖（1995）,2007年获全国地方高校优秀学报奖,2009年获山东省优秀期刊奖,2009年获全国高校科技期刊优秀编辑质量奖,2011年山东省优秀期刊,2012年华东地区优秀期刊
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,波兰哥白尼索引,美国剑桥科学文摘,英国科学文摘数据库
  • 被引量:3594