We study propagation failure using the one-dimensional scalar bistable equation with a passive "gap" region. By applying comparison principles for this type of equation, ...
Abstract. A mathematical model of microbial competition for limiting nutrient and wallattachment sites in a chemostat, formulated by Freter et al. in their study of the colonizatio...
We study the asymptotic behavior at infinity of solutions of a second order evolution equation with linear damping and convex potential. The differential system is defined in a rea...
In this work we prove the generic simplicity of the spectrum of the clamped plate equation in a bounded regular domain of Rd. That is, given Rd, we show that there exists an arbi...
In this paper, we consider linear systems in input-output form and introduce a new adaptive linear quadratic Gaussian (LQG) control scheme which is shown to be self-optimizing. The...