Uniform boundedness by averaging

Document Type

Article

Publication Date

12-1-2001

Abstract

We consider a system of functional differential equations with infinite delay and derive conditions on Liapunov functionals to ensure that solutions are uniformly bounded and uniformly ultimately bounded. The analysis is based on the method of finding a bound on the average values of unknown solutions and Jensen's inequality. Comparisons between our theorems and those existing in the literature are also given. © 2001 Akadémiai Kiadó, Budapest.

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