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.
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