@Article{Leszczyński2014, author = "Leszczyński, Henryk and Zwierkowski, Piotr", title = "Stability of finite difference schemes for generalized von Foerster equations with renewal", journal = "Opuscula Math.", year = "2014", volume = "34", number = "2", pages = "375--386", doi = "http://dx.doi.org/10.7494/OpMath.2014.34.2.375", url = "http://dx.doi.org/10.7494/OpMath.2014.34.2.375", abstract = "We consider a von Foerster-type equation describing the dynamics of a population with the production of offsprings given by the renewal condition. We construct a finite difference scheme for this problem and give sufficient conditions for its stability with respect to \(l^1\) and \(l^\infty\) norms.", keywords = "structured model, renewal, finite differences, stability", issn = "1232-9274" }