佳木斯大学学报(自然科学版)
佳木斯大學學報(自然科學版)
가목사대학학보(자연과학판)
JOURNAL OF JIAMUSI UNIVERSITY (NATURAL SCIENCE EDITION)
2014年
4期
619-621
,共3页
时滞微分方程%稳定性%变系数
時滯微分方程%穩定性%變繫數
시체미분방정%은정성%변계수
delay differential equations%stability%variable coefficient
利用拉什米辛判别法研究了一类变系数的时滞微分方程零解的稳定性,在较弱的条件下,得到了该方程零解稳定的充分条件,并给出两个例子说明定理的应用,数值模拟说明了所得结果的正确性。
利用拉什米辛判彆法研究瞭一類變繫數的時滯微分方程零解的穩定性,在較弱的條件下,得到瞭該方程零解穩定的充分條件,併給齣兩箇例子說明定理的應用,數值模擬說明瞭所得結果的正確性。
이용랍십미신판별법연구료일류변계수적시체미분방정영해적은정성,재교약적조건하,득도료해방정영해은정적충분조건,병급출량개례자설명정리적응용,수치모의설명료소득결과적정학성。
A class of delay differential equations with variable coefficient of the stability of the zero solu-tion were discussed using Lakshmi sheen criterion .Under mild condition , the sufficient conditions for the robust stability of the zero solution of the equations were obtained;then two examples were given to illustrate the appli-cation of theorem , and finally the validity of the results was proved by numerical simulation .