Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
We consider two semidynamical systems, (Tt)t≥o and (tt)t≥o, generated by different partial differential equations of von Foerster-Lasota type. We investigate some of their common properties in the integrable space with the p-exponent. We show that their chaotic or stable behaviour depends on the common value of the parameter γ = λ(0).
Czasopismo
Rocznik
Tom
Strony
803--813
Opis fizyczny
Bibliogr. 11 poz.
Twórcy
autor
autor
- Institute of Mathematics, Jagiellonian University, ul. Reymonta 4, 30-059 Kraków,, Antoni.Leon.Dawidowicz@im.uj.edu.pl
Bibliografia
- BRZEŹNIAK, Z. and DAWIDOWICZ, A.L. (2006) On the periodic solution of the Lasota equation, submitted for publication.
- DAWIDOWICZ, A.L. (1982) On the existence of an invariant measure for a quasi-linear partial differential equation. Zeszyty Naukowe UJ, Prace Matematyczne 23, 117-123.
- DAWIDOWICZ, A.L. (1983) On the existence of an invariant measure for the dynamical system generated by partial differential equation. Ann. Polon. Math. XLI, 129-137.
- DAWIDOWICZ, A.L. and HARIBASH. N. (1999) On the periodic solutions of von Foerster type equation. Universitatis Iagellonicae Acta Mathematica 37, 321-324.
- DAWIDOWICZ. A.L. and POSKROBKO, A. (2006) On periodic and stable solutions of the Lasota equation in different phase spaces. Preprint.
- LASOTA, A., MACKEY, M.C. and WAŻEWSKA-CZYŻEWSKA, M. (1981) Minimizing Therapeutically Induced Anemia. J. Math. Biology 13, 149-158.
- LASOTA, A. and PIANIGIANI, G. (1977) Invariant measures on topological spaces. Boll. Un. Mat. Ital. 5 15-B , 592-603.
- LASOTA, A. and SZAREK, T. (2004) Dimension of measures invariant with respect to Ważewska partial differential equation. J. Differential Equations 196 (2), 448-465.
- ŁOSKOT, K. (1985) Turbulent solutions of first order partial differential equation. J. Differential Equations 58 (1), 1-14.
- RUDNICKI, R. (1985) Invariant measures for the flow of a first order partial differential equation. Ergodic Theory and Dynamical Systems 5 (3), 437-443.
- WAŻEWSKA-CZYŻEWSKA, M. and LASOTA, A. (1976) Matematyczne problemy dynamiki układu krwinek czerwonych. Roczniki PTM, Matematyka Stosowana VI, 23-40.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0014-0021