退化中立型微分系统的常数变易公式和通解  

THE CONSTANT VARIATION FORMULA AND THE GENERAL SOLUTION OF DEGENERATE NEUTRAL DIFFERENTIAL SYSTEMS

作　　者：蒋威[1] 郑祖庥[2] 

机构地区：[1]安徽大学工商管理系 [2]安徽大学数学系,合肥230039

出　　处：《应用数学学报》1998年第4期562-570,共9页Acta Mathematicae Applicatae Sinica

摘　　要：本文讨论退化中立型微分系统．将其分成三组系统，定义两种与其相应的基础解，并分别将其通解求出．从而给出退化中立型微分系统的通解以及常数变易公式，最终得出通解的明确表示，完全推广了常微分方程和时滞微分方程的基本理论．In this paper we study the degenerate neutral differential systems. Divide them into three groups of systems, define two kinds of corresponding basic solutions, and found the general solutions of them respectively. Then give the constant variation formula and the general solution of degenerate neutral differential systems, and finally give clear-cut expression for the general solution. The results of this paper perfectly extend the fundamental theory of ordinary differential equation and delay differential equation.

关 键 词：中立型微分系统 退化系统 常数变易公式 通解 

分 类 号：O175.1[理学—数学]