常微分方程组对中立型微分差分方程组的逼近  

Approximation of Ordinary Differential Equations to Neutral Differential Difference Equations

作　　者：李爱平 LI Aiping(Department of mathematics,XinZhou Normal University,Wuzhai Shanxi 036200,China)

机构地区：[1]忻州师范学院五寨分院数学系,山西五寨036200

出　　处：《保山学院学报》2021年第5期47-51,共5页JOURNAL OF BAOSHAN UNIVERSITY

摘　　要：针对中立型微分-差分方程组逼近问题,在连续函数和分段连续函数的空间中进行研究,提出了在黑尔意义上的中立型微分方程组的近似方法,该方法能够达到有限区间上的期望逼近精度,相关推论证明了本研究所提方法的可行性。We approach the problem of neutral differential-difference equations,which is studied in the space of the continuous and piecewise continuous functions,and propose an approximation method for neutral differential equations in the Hale sense.The method can achieve the expected approximation accuracy on finite intervals and correlation inferences demonstrate the feasibility of the proposed method in this study.

关 键 词：常微分方程 中立型微分 逼近 

分 类 号：O1[理学—数学]