Asymptotic stability of a linear Boltzmann-type equation

• Autorzy: Roksana Brodnicka , Henryk Gacki
• Języki publikacji: EN

Abstrakty

EN

We present a new necessary and sufficient condition for the asymptotic stability of Markov operators acting on the space of signed measures. The proof is based on some special properties of the total variation norm. Our method allows us to consider the Tjon-Wu equation in a linear form. More precisely a new proof of the asymptotic stability of a stationary solution of the Tjon-Wu equation is given.

Kategorie tematyczne

• 47D07: Markov semigroups and applications to diffusion processes
• 60H10: Stochastic ordinary differential equations
• 47N20: Applications to differential and integral equations
• 45K05: Integro-partial differential equations
• 28A33: Spaces of measures, convergence of measures

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2014
• Tom: 41
• Numer: 4
• Strony: 323-334

Daty

wydano

2014

Twórcy

autor

Roksana Brodnicka

• Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland

autor

Henryk Gacki

• Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland

Identyfikatory

DOI

10.4064/am41-4-3