Comparison theorems and existence results for set causal operators with memory

Abstract

The theory of set differential equations has been recognized as a new discipline of research and it is known that the study of causal operators encompasses the study of ordinary differential equations,delay differential equations, integro differential equations, to name a few. In this paper, we set up set causal operators with memory and set differential equations involving causal operators with memory and obtain the basic comparison theorems and existence results for both types of equations.