Abstract
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.
Original language | English |
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Article number | mmnp200320 |
Journal | Mathematical Modelling of Natural Phenomena |
Volume | 16 |
DOIs | |
State | Published - 1 Jan 2021 |
Externally published | Yes |
Keywords
- Cauchy function
- Cauchy functions
- Delay equations
- Exponential estimates of solutions
- Uniform exponential stability
ASJC Scopus subject areas
- Modeling and Simulation
- Applied Mathematics