CAJ | 학술논문

给出并证明了多延迟中立型系统渐近稳定的充分条件;分析了用线性多步法求解多延迟中立型系统数值解的稳定性,基于Lagrange插值,证明了数值求解多延迟中立型系统的线性多步法渐近稳定的充分必要条件是它是A-稳定的.
급출병증명료다연지중립형계통점근은정적충분조건;분석료용선성다보법구해다연지중립형계통수치해적은정성,기우Lagrange삽치,증명료수치구해다연지중립형계통적선성다보법점근은정적충분필요조건시타시A-은정적.
The sufficient condition which analytical solution of neutral delay differential equations with multiple delays is asymptotically stable was given; the asymptotic stability of linear multistep methods for the numerical solution of neutral delay differential equations with multiple delays was discussed. By Lagrange Interpolation, it is shown that linear multistep methods are asymptotically stable if and only if it is A-stable.