Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 75, pp. 1-11.

Title: Some basic theorems on difference-differential equations
  
Author: Baburao G. Pachpatte (Aurangabad, Maharashtra, India)

Abstract: 
 In this paper some basic theorems on the existence, uniqueness
 and continuous dependence of solutions of a certain
 difference-differential equation are established.
 The well known Banach fixed point theorem and the Gronwall-Bellman
 integral inequality are used to establish these results.
 
Submitted December 21, 2007. Published May 22, 2008.
Math Subject Classifications: 34K05, 34K10, 34K40.
Key Words: Difference-differential equations; Banach fixed point theorem;
           Gronwall-Bellman integral inequality; existence and uniqueness;
           continuous dependence.