UNIFORMLY LIPSCHITZ STABILITY AND ASYMPTOTIC BEHAVIOR OF PERTURBED DIFFERENTIAL SYSTEMS

Sang Il Choi, Yoon Hoe Goo
2016 Journal of the Chungcheng Mathematical Society  
In this paper we show that the solutions to the perturbed differential system y(s), T y(s))ds have uniformly Lipschitz stability and asymptotic behavior by imposing conditions on the perturbed part t t 0 g(s, y(s), T y(s))ds and the fundamental matrix of the unperturbed system y = f (t, y).
doi:10.14403/jcms.2016.29.3.429 fatcat:3x2jb2w5gre7ri5gpdo42hkhti