Existence and uniqueness theorems on certain difference-differential equations

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.

Keywords

• Existence and uniqueness
• difference-differential equations
• Leray-Schauder alternative
• Bihari's integral inequality
• Wintner type
• Osgood type