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

• Autorzy: Dawidowicz A. L. , Poskrobko A.
• Języki publikacji: EN

Abstrakty

EN

We study properties of the Lasota partial differential equation in two different spaces: V∞ (Hölder continuous functions) and Lp. The aim of this paper is to generalize the results of [1].

Słowa kluczowe

EN

partial differential equations; periodic solutions; stable solutions

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2008
• Tom: Vol. 28, no. 4
• Strony: 453--461
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Dawidowicz A. L.

autor

Poskrobko A.

• Jagiellonian University, Institute of Mathematics, ul. Prof. Lojasiewicza, 30-348 Kraków, Poland,

Bibliografia

• [1] Z. Brzeźniak, A.L. Dawidowicz, On the periodic solution to the von Foerster-Lasota equation, to appear in Semigroup Forum.
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• [3] A.L. Dawidowicz, On the existence of an invariant measure for the dynamical system generated by partial differential equation, Ann. Polon. Math. XLI (1983), 129–137.
• [4] A.L. Dawidowicz, N. Haribash, On the periodic solutions of von Foerster type equation, Universitatis Iagellonicae Acta Mathematica (1999) 37, 321–324.
• [5] A. Lasota, G. Pianigiani, Invariant measures on topological spaces, Boll. Un. Mat. Ital. (5) 15-B (1977), 592–603.
• [6] A. Lasota, T. Szarek, Dimension of measures invariant with respect to Wazewska partial differential equation, J. Differential Equations 196 (2004) 2, 448–465.
• [7] K. Łoskot, Turbulent solutions of first order partial differential equation, J. Differential Equations 58 (1985) 1, 1–14.
• [8] R. Rudnicki, Invariant measures for the flow of a first order partial differential equation, Ergodic Theory and Dynamical Systems, 5 (1985) 3, 437–443.