On periodic and stable solutions of the Lasota equation in different phase spaces

Abstract

We study properties of the Lasota partial differential equation in two different spaces: \(V_{\alpha}\) (Hölder continuous functions) and \(L^p\). The aim of this paper is to generalize the results of [Z. Brzeźniak, A. L. Dawidowicz, On the periodic solution to the von Foerster-Lasota equation, to appear in Semigroup Forum].

Keywords

• partial differential equations
• periodic solutions
• stable solutions