Linearized Stability Principle for Differential Equations with Delays

Authors

  • Leonid Berezansky Ben-Gurion University of the Negev, Beer-Sheva
  • Elena Braverman University of Calgary, Calgary

DOI:

https://doi.org/10.14529/ctcr170314

Keywords:

delay differential equations, linearized global stability principle

Abstract

In this article а linearized global stability principle is announced for nonlinear delay differential equations which is illustrated by several models of Population Dynamics.

Is given а review of some mathematical models with possible applications of the linearized principle is presented.

Author Biographies

Leonid Berezansky, Ben-Gurion University of the Negev, Beer-Sheva

отделение математики

Elena Braverman, University of Calgary, Calgary

кафедра математики и статистики

References

Hale J.K., Verduyn Lunel S.M. Introduction to Functional Differential equations. Applied Mathematical Sciences, vol. 99. Springer-Verlag, New York, 1993, pp. 67–99. DOI: 10.1007/978-1-4612-4342-7

Berezansky L., Braverman E. New Stability Conditions for Linear Differential Equations with Several Delays, arXiv:0806.3234v1 [math.DS], June 20, 2008. 19 p. DOI:10.1155/2011/178568

So J.W.H., Yu J.S., Chen M.P. Asymptotic Stability for Scalar Delay Differential Equations, Funkcial. Ekvac, 1996, vol. 39, pp. 1–17.

Mackey M.C., Glass L. Oscillation and Chaos in Physiological Control Systems, Science, 1977, vol. 197, pp. 287–289. DOI: 10.1126/science.267326

Losson J., Mackey M.C., Longtin A. Solution Multistability in First order Nonlinear Differential Delay Equations, Chaos, 1993, vol. 3, no. 2, pp. 167–176. DOI: 10.1063/1.165982

Berezansky L., Braverman E. Mackey-Glass Equation with Variable Coefficients, Comput. Math. Appl., 2006, vol. 51, iss. 1, pp. 1–16.

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Published

2017-09-07

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