## A new approach to stability theory of functional differential equations.(English)Zbl 0841.34079

From the author’s abstract: “A new approach to stability theory of functional differential equations is proposed. Instead of putting all components of the state variable $$x$$ in one Lyapunov-Razumikhin function, several functions of partial components of $$x$$, which can be much easier constructed, are used so that the conditions ensuring that stability are simpler and less restrictive. Also, an example is given to illustrate the advantages of the obtained results”.
Reviewer: W.M.Oliva (Lisboa)

### MSC:

 34K20 Stability theory of functional-differential equations