×

On the stability of solutions of some non-autonomous delay differential equations of the third order. (English) Zbl 1075.34075

Summary: The paper gives sufficient conditions for the asymptotic stability of the zero solution of the system \[ \dddot x+a(t)\ddot x+b (t)\dot x+c(t)f\bigl( x(t-r)\bigr)=0. \] By constructing Lyapunov functionals, we obtain the results in a simple form.

MSC:

34K20 Stability theory of functional-differential equations
PDFBibTeX XMLCite