Abstract
The aim of the paper is a review of some methods on exponential stability for linear delay differential equations of the second order. All these methods are based on Bohl-Perron theorem which reduces stability investigations to study the properties of operator equations in some functional spaces. As an example of application of these methods we consider the following equation x¨(t) + a(t)x. (g(t)) + b(t)x(h(t)) = 0.
| Original language | English |
|---|---|
| Pages (from-to) | 3-17 |
| Number of pages | 15 |
| Journal | Functional Differential Equations |
| Volume | 28 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Jan 2021 |
Keywords
- Bohl-perrom theorem
- Exponential stability
- Minorsky equation
- Second order delay differential equation
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Control and Optimization
- Mathematical Physics
- Numerical Analysis