Opuscula Math. 28, no. 4 (2008), 453-461

Opuscula Mathematica

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

Antoni Leon Dawidowicz
Anna Poskrobko

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.

Mathematics Subject Classification: 35B10, 35B35, 37C75, 47D06.

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• Antoni Leon Dawidowicz
• Jagiellonian University, Institute of Mathematics, ul. Prof. Łojasiewicza, 30-348 Kraków, Poland
• Anna Poskrobko
• Białystok Technical University, Institute of Mathematics and Physics, ul. Wiejska 45A, 15-351 Białystok, Poland