In this paper we study the asymptotic stability of the zero solution of odd order linear delay differential equations of the formy(2 m + 1) (t) = underover(∑, j = 0, 2 m) aj y(j) (t) + underover(∑, j = 0, 2 m) bj y(j) (t - τ),where aj and bj are certain constants and m ≥ 1. Here τ > 0 is a constant delay. In proving our results we make use of Pontryagin's theory for quasi-polynomials. © 2006 Elsevier B.V. All rights reserved.
Cahlon, B., & Schmidt, D. (2007). Stability criteria for certain high odd order delay differential equations. Journal of Computational and Applied Mathematics, 200(1), 408–423. https://doi.org/10.1016/j.cam.2006.01.015