This paper is focused on the analytic and numerical dissipativity of nonlinear neutral delay integro-differential equations of the form    . The dissipativity criteria of the theoretical solutions are obtained by applying the generalization of the Halanay inequality. Furthermore, the dissipativity of one-leg θ-methods and linear θ-methods for the underlying system is investigated. It is shown that, for ½<θ≤1, both the one-leg θ-methods and linear θ-methods are dissipative. Numerical example illustrates the theoretical results.
['L. Wang', 'Xianbo Ding']
Dissipativity of θ-methods for a class of nonlinear neutral delay integro-differential equations