TOPOLOGICAL DEGREE OF SOLUTION MAPPINGS IN FUNCTIONAL AND ORDINARY DIFFERENTIAL EQUATIONS

Dedicated to Professor Junji Kato on his sixtieth birthday

抄録

We shall define a topological degree for multi-valued solution mappings of functional differential equations with finite delay including ordinary differential equations. Earlier, we introduced a degree of ordinary differential equations which is different from that given in this article. We show that these two definitions are equivalent for ordinary differential equations.