Approximations of solutions to neutral functional differential equations with nonlocal history conditions

This work is concerned with a class of neutral functional differential equations with nonlocal history conditions in a Hilbert space. The approximation of solution to a class of such problems is studied. Moreover, the convergence of Faedo–Galerkin approximation of solution is shown. For illustration, an example is worked out. © 2005 Elsevier Inc. All rights reserved