Asymptotic Stability and Boundedness for Functional Differential Equations

Authors
Burton, T.A. Qichang, Huang
Citation
Burton, T.a et Qichang, Huang, Asymptotic Stability and Boundedness for Functional Differential Equations, Acta Mathematica Sinica, New Series Chinese Journal of Mathematics, 13(3), 1997, pp. 363-372
Journal title
Acta Mathematica Sinica, New Series Chinese Journal of Mathematics → ACNP
ISSN journal
10009574
Volume
13
Issue
3
Year of publication
1997
Pages
363 - 372
Database
ACNP
SICI code
Abstract
We study a system (D)x'= F(t, x.) of functional differential equations, together with a scalar equation (S)x'=-a(t)f(x)+b(t)g(x(t-h)) as well as perturbed forms. A Liapunov functional is constructed which has a derivative of a nature that has been widely discussed in the literature.On the basis of this example we prove results for (D) on asymptotic stability and equi-boundedness.