The initial condition problem for fractional linear system initialisation is studied in this paper. It is based on the generalised initial value theorem. The new approach involves functions belonging to the space of Laplace transformable distributions verifying the Watson–Doetsch lemma. The fractional derivatives of these functions are independent of the derivative de,nition. This class include...

Motivated by applications to transition semigroups, we introduce the notion of a norming dual pair and study a Pettis-type integral on such pairs. In particular, we establish a sufficient condition for integrability. We also introduce and study a class of semigroups on such dual pairs which are an abstract version of transition semigroups. Using our results, we prove conditions ensuring that a ...

| This article describes a topological routing path search algorithm embedded in our autorouter for printed circuit boards. The algorithm searches for a topological path that is guaranteed to be transformable into a physical wire satisfying design rules. We propose a method for incrementally verifying design rules during topological path search in a graph based on constrained Delaunay triangula...