Marachkov type stability conditions for non-autonomous functional differential equations with unbounded right-hand sides

Marachkov type stability conditions for non-autonomous functional differential equations with unbounded right-hand sides

Sufficient conditions for uniform equi-asymptotic stability and uniform asymptotic stability of the zero solution of the retarded equation \[x'(t) = f(t, x_t), \qquad (x_t(s):= x(t+s),\ -h\le s\le 0)\] are given. In the stability theory of non-autonomous differential equations a result is of M...

Full description

Bibliographic Details
Main Author: László Hatvani
Format: Article
Language:English
Published: University of Szeged 2015-10-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
lyapunov functional with negative semi-definite derivative; annulus argument; uniform asymptotic stability; uniform equi-asymptotic sability.
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4198

Internet

http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4198

Similar Items