Solution manifolds of differential systems with discrete state-dependent delays are almost graphs

Tibor Krisztin, Hans-Otto Walther

We show that for a system $$x^{\prime }(t)=g(x(t-d_1(L{x}_t)),\dots ,x(t-d_k(L{x}_t)))$$ of $n$ differential equations with $k$ discrete state-dependent delays the solution manifold, on which…