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On asymptotic behaviour of the dynamical systems generated by von Foerster-Lasota equations

We consider two semidynamical systems, ( e Tt)t>0 and (Tt)t>0, generated by different partial differential equations of von Foerster-Lasota type. We investigate some of their common prop- erties 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).