Invariant measures and a linear model of turbulence
Vzbuzení zájmu o aplikace matematiky
Zdzisław Opial---a mathematician 1930--1974
Markov operators on the space of vector measures; coloured fractals
We consider the family 𝓜 of measures with values in a reflexive Banach space. In 𝓜 we introduce the notion of a Markov operator and using an extension of the Fortet-Mourier norm we show some criteria of the asymptotic stability. Asymptotically stable Markov operators can be used to construct coloured fractals.
Asymptotic properties of Markov operators defined by Volterra type integrals
New sufficient conditions for asymptotic stability of Markov operators are given. These criteria are applied to a class of Volterra type integral operators with advanced argument.
Markov operators defined by Volterra type integrals with advanced argument
On the Tjon-Wu representation of the Boltzmann equation
On Hammerstein integral equations
In questa Nota si usa il teorema dell'applicazione aperta alla teoria delle equazioni integrali non lineari del tipo di Hammerstein. Si mostra che dall'unicità delle soluzioni per un insieme aperto di nuclei segue l'esistenza delle soluzioni stesse.
Statistical periodicity of deterministic systems
Stable, chaotic and optimal solutions of first order partial differential equations related with the cell kinetics
Poincaré's recurrence theorem for set-valued dynamical systems
Abstract. The existence theorem of an invariant measure and Poincare's Recurrence Theorem are extended to set-valued dynamical systems with closed graph on a compact metric space.
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