Dissipativity of θ-methods for a class of nonlinear neutral delay differential equations

This paper is concerned with the dissipativity of theoretical solution and numerical solution of a class of nonlinear neutral delay differential equations. At first, a sufficient condition for the dissipativity of theoretical solution of the mentioned problem above is given, then the dissipativity results are obtained for one-leg and linear θ-methods when they are applied to these problems.