摘要
用分析的方法,在中立项满足多种条件时,全面定性地研究了一类中立型微分方程解的渐近性;用类比的方法,引入变换将方程转化为时滞或时超不等式,获得了这一类方程随滞量不同的多个振动准则.
By using the analytical method, a comprehensively qualitative study on the asymptotic behavior of solution for a class of neutral differential equations is made, when the neutral term is satisfied with a variety of conditions. With the analog method and some transformations, the equation is transformed into delay or super-hour inequalities, and many oscillatory criterions with the delay of the type of differential equation are obtained.
出处
《徐州师范大学学报（自然科学版）》
CAS
2009年第2期45-49,共5页
Journal of Xuzhou Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(60775047)
湖南省自然科学基金资助项目(060D74)
关键词
中立型
微分方程
渐近性
振动性
neutral
differential equation
asymptotic behavior
oscillatory behavior
