Conditions for the Boundness of the Solution for Second Order Linear Delay Differential Equations

被引：0

作者：

Fish A. ^{[1
]}

机构：

[1] Department of Electrical Engineering, Computer Engineering, & Computer Science, The University of New Haven, 300 Boston Post Rd, West Haven, 06516, CT

来源：

International Journal of High Speed Electronics and Systems | 2022年 / 31卷 / 1-4期

关键词：

differential equations; Linear delay;

D O I：

10.1142/S0129156422400134

中图分类号：

学科分类号：

摘要：

It is well known that a solution to a second order differential equation with roots of its characteristic equation in the right half plane is unbounded. If a delay of the right magnitude is introduced into the equation the solution is bounded. This paper investigates this phenomenon by imbedding a second order differential equation with first order delay by embedding the equation in a field of equivalent classes of quotients of polynomials in the modified differential and delay operator over the real field. © 2022 World Scientific Publishing Company.

引用

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