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Stability and uniform boundedness in multidelay functional differential equations of third order. (English) Zbl 1276.34058

Summary: We consider a nonautonomous functional differential equation of the third order with multiple deviating arguments. Using the Lyapunov-Krasovskiĭ functional approach, we give certain sufficient conditions guaranteeing the asymptotic stability and uniform boundedness of the solutions.

MSC:

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