12 citations · 19 across the 9 of their papers we have counts for
10 papers
Order convergence in ordered vector spaces: compactness, atoms, pervasiveness, and ice cream spaces
Eugene Bilokopytov, Mark Roelands, Samuel Tiersma +3
We study order convergence in ordered vector spaces that are not necessarily lattices. In this setting, we consider two generalizations of order convergence on vector lattices, a d…
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…
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.…
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…
Order theoretical structures in atomic JBW-algebras: disjointness, bands, and centres
Onno van Gaans, Anke Kalauch, Mark Roelands
Every atomic JBW-algebra is known to be a direct sum of JBW-algebra factors of type I. Extending Kadison's anti-lattice theorem, we show that each of these factors is a disjointnes…
On the linearity of order-isomorphisms
Bas Lemmens, Hent van Imhoff, Onno van Gaans
A basic problem in the theory of partially ordered vector spaces is to characterise those cones on which every order-isomorphism is linear. We show that this is the case for every…
Disjointness preserving -semigroups and local operators on ordered Banach spaces
Anke Kalauch, Onno van Gaans, Feng Zhang
We generalize results concerning -semigroups on Banach lattices to a setting of ordered Banach spaces. We prove that the generator of a disjointness preserving $\math…
Bands in partially ordered vector spaces with order unit
Anke Kalauch, Bas Lemmens, Onno van Gaans
In an Archimedean directed partially ordered vector space one can define the concept of a band in terms of disjointness. Bands can be studied by using a vector lattice cover $Y…
Dissipativity of the delay semigroup
Joris Bierkens
Under mild conditions a delay semigroup can be transformed into a (generalized) contraction semigroup by modifying the inner product on the (Hilbert) state space into an equivalent…
Invariant measures for monotone SPDE's with multiplicative noise term
A. Es-Sarhir, M. Scheutzow, J. M. Tölle +1
We study diffusion processes corresponding to infinite dimensional semilinear stochastic differential equations with local Lipschitz drift term and an arbitrary Lipschitz diffusion…