Collision of global orbits in \(C^\infty\) retarded functional differential equations (Q2738676)

For a class of \(C^\infty\) autonomous retarded functional-differential equations (RFDEs), the authors consider a related ordinary differential equation in a Fréchet space and characterize its global solutions. They also construct an example of a \(C^\infty\) RFDE with a collision point. The example is then adapted to the case of an RFDE of class \(C^\infty\) on a compact manifold.NEWLINENEWLINEFor the entire collection see [Zbl 0960.00044].