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Stability and boundedness of solutions of some non-autonomous delay differential equation of the third order. (English) Zbl 1199.34390

Summary: This paper gives sufficient conditions for the asymptotic stability and uniform boundedness of some non-autonomous nonlinear third order delay differential equations. By constructing Lyapunov functionals, we obtained results in a very simple form.

MSC:

34K20 Stability theory of functional-differential equations
34K12 Growth, boundedness, comparison of solutions to functional-differential equations
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