一类求解比例延迟积分微分方程线性多步法的散逸性

考虑了比例延迟积分微分方程的数值方法的散逸性。首先，通过变换将原方程变为常延迟积分微分方程，然后把一类线性多步法应用到以上问题中，用线性插值程序和复合梯形公式分别逼近延迟项和积分项，证明了在一定条件下，该数值方法具有散逸性。

Dissipativity of Linear Multistep Methods for Delay-integro-differential Equations with a Proportional Delay

Numerical dissipativity of delay differential equations with a propo-rtional delay is concerned.At first,the original equations can be transformed into the constant delay integro-differential equations by a change of the independent conversion,and then we apply a class of linear multistep methods is applied to the above problems,it is proved in some proper conditions that the numerical solution is dissipative for a class of linear multistep methods when linear interpolation and compound trapezoidal rule denote approximations to delay term and integration term,respectively.