Back to Search
Start Over
Asymptotic Stability of Solutions to a Class of Second-Order Delay Differential Equations
- Source :
- Mathematics, Vol 9, Iss 16, p 1847 (2021)
- Publication Year :
- 2021
- Publisher :
- MDPI AG, 2021.
-
Abstract
- 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 equations includes the equation of vibrations of the inverted pendulum, the suspension point of which performs arbitrary periodic oscillations along the vertical line.
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 9
- Issue :
- 16
- Database :
- Directory of Open Access Journals
- Journal :
- Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.033899ec49ff4729b9ac6542a8958b0f
- Document Type :
- article
- Full Text :
- https://doi.org/10.3390/math9161847