Math. Model. Nat. Phenom.
Volume 16, 2021
Nonlocal and delay equations
|Number of page(s)||18|
|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: email@example.com
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
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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