4 papers
Stochastic Mackey-Glass Equations and Other Negative Feedback Systems: Existence of Invariant Measures
Mark van den Bosch, Onno van Gaans, Sjoerd Verduyn Lunel
We study equations like the Mackey-Glass equations and Nicholson's blowflies equation, each perturbed by a (small) multiplicative noise term. Solutions to these stochastic negative…
Existence of Invariant Probability Measures for Stochastic Differential Equations with Finite Time Delay
Mark van den Bosch, Onno van Gaans, Sjoerd Verduyn Lunel
We provide sufficient conditions for the existence of invariant probability measures for generic stochastic differential equations with finite time delay. This is achieved by means…
Stochastic Wright's Equation: Existence of Invariant Measures
Mark van den Bosch, Onno van Gaans, Sjoerd Verduyn Lunel
Wright's delay differential equation is one of the prime examples of a fully nonlinear equation without an explicit solution and whose dynamics can be understood by analytic means.…
A functional representation approach to vector lattice covers for spaces of compact operators
Onno van Gaans, Jochen Glück, Anke Kalauch
For ordered normed vector spaces , we consider the space of bounded linear operators and characterize when its cone of positive operators has non-empty int…