Asymptotic Stability of Solutions to a Class of Second-Order Delay Differential Equations

Asymptotic Stability of Solutions to a Class of Second-Order Delay Differential Equations

We consider a class of second-order nonlinear delay differential equations with periodic coefficients in linear terms. We obtain conditions under which the zero solution is asymptotically stable. Estimates for attraction sets and decay rates of solutions at infinity are established. This class of eq...

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Bibliographic Details
Main Authors: Gennadii V. Demidenko, Inessa I. Matveeva
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Mathematics
Subjects:
delay differential equations
periodic coefficients
inverted pendulum
asymptotic stability
Lyapunov differential equation
Online Access:https://www.mdpi.com/2227-7390/9/16/1847

Internet

https://www.mdpi.com/2227-7390/9/16/1847

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