A new technique in stability of infinite delay differential equations

For infinite delay differential equations, a new technique is offered in this paper to establish the stability criteria. In using Razumikhin techniques, rather than putting all components of the state variable in one Liapunov functional V(t, (•)), we adopt several functionals Vj(t, (•)) (j = 1,2, …, m) so that not only can they be easier constructed, but also the conditions ensuring the required stability are less restrictive. Furthermore, the advantages of the obtained results are illustrated by an example.