Hans‐Otto Walther

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math.DS2022

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

Tibor Krisztin, Hans-Otto Walther

We show that for a system $x^{'} (t) = g (x (t - d_{1} (L x_{t})), \dots, x (t - d_{k} (L x_{t})))$ of $n$ differential equations with $k$ discrete state-dependent delays the solution manifold, on which…

math.DS2022

On the solution manifold of a differential equation with a delay which has a zero

Hans-Otto Walther

For a differential equation with a state-dependent delay we show that the associated solution manifold $X_{f}$ of codimnsion 1 in the space $C^{1} ([- r, 0], R)$ is an almost gra…