# Approximation of solutions of a difference-differential equation

## B. G. Pachpatte

Address: 57 Shri Niketan Colony, Near Abhinay Talkies Aurangabad 431 001 (Maharashtra), India

E-mail: bgpachpatte@gmail.com

Abstract: In the present paper we study the approximate solutions of a certain difference-differential equation under the given initial conditions. The well known Gronwall-Bellman integral inequality is used to establish the results. Applications to a Volterra type difference-integral equation are also given.

AMSclassification: primary 34K10; secondary 34K40.

Keywords: approximation of solutions, difference-differential equation, Gronwall-Bellman, integral inequality, Volterra type, difference-integral equation, estimate, closeness of solutions.