4 papers
math.DS2024
On solution manifolds of some differential equations with more general state-dependent delay
Hans-Otto Walther
Differential equations with state-dependent delays define a semiflow of continuously differentiable solution operators in general only on the associated {\it solution manifold} in…
math.DS2023
On solution manifolds for algebraic-delay systems
Hans-Otto Walther
Differential equations with state-dependent delays define a semiflow of continuously differentiable solution operators in general only on an associated submanifold of the Banach sp…
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 of differential equations with 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 of codimnsion 1 in the space is an almost gra…