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Zbl 1075.34075
On the stability of solutions of some non-autonomous delay differential equations of the third order.
(English)
[J] Asymptotic Anal. 43, No. 1-2, 1-7 (2005). ISSN 0921-7134; ISSN 1875-8576/e

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 2000:
*34K20 Stability theory of functional-differential equations

Keywords: stability; Lyapunov functionals

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