邓飞其,刘永清,冯昭枢.线性泛函微分方程解的渐近表示[J].数学研究及应用,1997,17(1):50~54
线性泛函微分方程解的渐近表示
Asymptotic Representation of Solutions of Linear Functional Differential Equations
  最后修改时间:1996-06-16
DOI:10.3770/j.issn:1000-341X.1997.01.010
中文关键词:  泛函微分方程  稳定性  收敛性  渐近表示
英文关键词:functional differential equations  stability  convergence  asymptotic representation.
基金项目:
作者单位
邓飞其 华南理工大学自动控制工程系 
刘永清 华南理工大学自动控制工程系 
冯昭枢 华南理工大学自动控制工程系 
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中文摘要:
      本文利用一类特殊方程的一致稳定性与收敛性定理研究R中线性泛函微分方程解的渐近表示,在较弱的条件下得到了与文[1]同样的渐近积分公式.文中还讨论了一些特殊解的存在性、零解的吸引性等等
英文摘要:
      In this paper, asymptotic representation of solutions of linear functional differential equations in R is investigated with an uniform stability and convergence theorem for a special type of functional differential equations, and the same asymptotic integration formula same as that in is obtained under weaker conditions. The existence of some type of special solutions of the equations and the attractivity of the zero solutions of the equations are also investigated in the paper.
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