线性泛函微分方程解的渐近表示

Asymptotic Representation of Solutions of Linear Functional Differential Equations

本文利用一类特殊方程的一致稳定性与收敛性定理研究Ｒｎ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。

In this paper, asymptotic representation of solutions of linear functional differential equations in R n 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.