On a Fokker-Planck equation arising in population dynamics.
The aim of this paper is to obtain monotonic solutions of an integral equation of Urysohn-Stieltjes type in . Existence will be established with the aid of the measure of noncompactness.
This note contains a criterion for the oscillation of solution of a kind of integro-differential equations with delay.
We study positive linear Volterra integro-differential equations in Banach lattices. A characterization of positive equations is given. Furthermore, an explicit spectral criterion for uniformly asymptotic stability of positive equations is presented. Finally, we deal with problems of robust stability of positive systems under structured perturbations. Some explicit stability bounds with respect to these perturbations are given.
We define the Foiaş solutions of the transport equation and we prove that the strong asymptotic stability of the Foiaş solutions is equivalent to the asymptotic stability of the solutions of the transport equation in L¹.