116 citations · 116 across the 1 of their papers we have counts for
2 papers
math.AP2025
Abstract boundary delay systems and application to network flow
András Bátkai, Marjeta Kramar Fijavž, Abdelaziz Rhandi
This paper investigates the well-posedness and positivity of solutions to a class of delayed transport equations on a network. The material flow is delayed at the vertices and alon…
math.FA2012★ 116 cited
Semigroups and linear partial differential equations with delay
András Bátkai, Susanna Piazzera
We prove the equivalence of the well-posedness of a partial differential equation with delay and an associated abstract Cauchy problem. This is used to derive sufficient conditions…