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Comparison Theorems of Liapunov-Razumikhin Type for NFDEs With Infinite Delay
Published online by Cambridge University Press: 20 November 2018
Abstract
Some comparison theorems of Liapunov-Razumikhin type are provided for uniform (asymptotic) stability and uniform (ultimate) boundedness of solutions to neutral functional differential equations with infinite delay with respect to a given phase space pair. Examples are given to illustrate how the comparison theorems and stability and boundedness of solutions depend on the choice(s) of phase space(s) and are related to asymptotic behavior of solutions to some difference and integral equations.
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- Copyright © Canadian Mathematical Society 1995
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