Dissipativity of the backward Euler method for nonlinear Volterra functional differential equations in Banach space
Dissipativity of the backward Euler method for nonlinear Volterra functional differential equations in Banach space
This paper concerns the dissipativity of nonlinear Volterra functional differential equations (VFDEs) in Banach space and their numerical discretization. We derive sufficient conditions for the dissipativity of nonlinear VFDEs. The general results provide a unified theoretical treatment for dissipativity analysis to ordinary differential equations (ODEs), delay differential equations (DDEs), integro-differential …