| Issue |
Math. Model. Nat. Phenom.
Volume 16, 2021
Nonlocal and delay equations
|
|
|---|---|---|
| Article Number | 21 | |
| Number of page(s) | 18 | |
| DOI | https://doi.org/10.1051/mmnp/2021008 | |
| Published online | 09 April 2021 | |
Stability of neutral delay differential equations with applications in a model of human balancing
Department of Mathematics, Ariel University, Ariel, Israel.
* Corresponding author: adom@ariel.ac.il
Received:
26
September
2020
Accepted:
20
January
2021
In this paper the exponential stability of linear neutral second order differential equations is studied. In contrast with many other works, coefficients and delays in our equations can be variable. The neutral term makes this object essentially more complicated for the study. A new method for the study of stability of neutral equation based on an idea of the Azbelev W-transform has been proposed. An application to stabilization in a model of human balancing has been described. New stability tests in explicit form are proposed.
Mathematics Subject Classification: 34K20 / 34K40 / 34K12 / 34K21
Key words: Delay equations / uniform exponential stability / Cauchy function / exponential estimates of solutions and Cauchy functions
© The authors. Published by EDP Sciences, 2021
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