## Asymptotic stability in a fourth order delay differential equation.(English)Zbl 0902.34065

Using Lyapunov functionals sufficient asymptotic conditions are established for the uniform asymptotic stability of the zero solution to the following fourth-order delay differential equation $x^{(4)}(t)+e(t,x(t),\dot x(t),\ddot x(t),x^{(3)}(t)) x^{(3)}(t)+f(t,\ddot x(t-\tau))+ g(t,\dot x(t-\tau))+h(x(t-\tau))=0$
Reviewer: I.Ginchev (Varna)

### MSC:

 34K20 Stability theory of functional-differential equations 34K25 Asymptotic theory of functional-differential equations