Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 49, pp. 12.

Title:  Existence and uniqueness theorems on certain
        difference-differential equations 
   
Author: Baburao G. Pachpatte (Aurangabad, Maharashtra, India)

Abstract:
 In the present paper, existence and uniqueness theorems for the
 solutions of certain nonlinear difference-differential equations
 are established. The main tools employed in the analysis are
 based on the applications of the Leray-Schauder alternative and
 the well known Bihari's integral inequality. 
 
Submitted June 9, 2008. Published April 07, 2009.
Math Subject Classifications: 34K5, 34K10, 34K40.
Key Words: Existence and uniqueness; difference-differential equations;
           Leray-Schauder alternative; Bihari's integral inequality;
           Wintner type; Osgood type.