Electronic Journal of Differential Equations, Vol. 2012 (2012), No. 173, pp. 1-10. Title: Approximate solutions to neutral type finite difference equations Author: Deepak B. Pachpatte (Dr. B.A.M. Univ., Aurangabad, India) Abstract: In this article, we study the approximate solutions and the dependency of solutions on parameters to a neutral type finite difference equation, under a given initial condition. A fundamental finite difference inequality, with explicit estimate, is used to establish the results. Submitted June 4, 2012. Published October 12, 2012. Math Subject Classifications: 26D10, 39A10, 65R20, 45G10. Key Words: Neutral type; finite difference; approximate solution; explicit estimate.