Abstract
We consider a class of nonautonomous systems of differential equations with time-varying concentrated and distributed delays than can be unbounded. Using a Lyapunov–Krasovskii functional, some estimates of solutions are established. The obtained estimates allow us to conclude whether the solutions are stable.
| Translated title of the contribution | Estimates for solutions to one class of nonlinear nonautonomous systems with time-varying concentrated and distributed delays |
|---|---|
| Original language | Russian |
| Article number | 6 |
| Pages (from-to) | 70-79 |
| Number of pages | 10 |
| Journal | Mathematical Notes of NEFU |
| Volume | 29 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2022 |
Keywords
- estimates for solutions
- Lyapunov–Krasovskii functional
- stability
- time-varying delay systems
- variable coefficients
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- 1.01 MATHEMATICS
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- 27 MATHEMATICS