非线性中立型延迟积分微分方程线性多步法的散逸性

Dissipativity of Linear Multistep Methods for Nonlinear Neutral Delay-integro-differential Equations

考虑非线性中立型延迟积分微分方程数值方法的散逸性,把一类线性多步法应用到以上问题中,当积分项用复合求积公式逼近时,证明该数值方法在满足一定条件下具有散逸性.

This paper is concerned with numerical dissipativity of nonlinear neutral delay integrodifferential equations, when the integration term is approximated by the Compound Quadrature（CQ） formula, the dissipativity results are obtained by a class of linear multistep methods when they are applied to the above problems.