Miscellaneous Topics in Causal Systems

Abstract

This chapter deals with extensions and generalizations of causal differential equations to other important areas of nonlinear analysis. We begin with the set differential equations with causal operators naming them as causal set differential equations (CSDE). Set differential equations in a metric space has gained much attention recently due to its applicability to multivalued differential inclusions and fuzzy differential equations and its inclusion of ordinary differential systems as a special case. The generalization of this dynamic system to include causal differential equations would cover a wider variety of situations and therefore, it would initiate an interesting and useful branch of nonlinear analysis that requires further investigation.