关于时滞微分方程非负解的注记

A Note on Nonnegativity of Solutions of Delay Differential Equations

给出了一类时滞微分方程解为正解的充分条件及其初值非负情况下解在有限时刻可能为负的一个充分条件。并给出一个例子说明时滞对方程解的非负性的影响。

This paper gives some sufficient conditions which guarantee the solutions of some delay differential equations are positive and the condition under which the corresponding solution with nonnegative initial function possiblely become negative in a finite interval of time. An example which illustrates the influnce of the time delay to the nonnegativity of the solution is presented.