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Asymptotic stability of a partial differential equation with an integral perturbation

Katarzyna Pichór — 1998

Annales Polonici Mathematici

We study the asymptotic behaviour of the Markov semigroup generated by an integro-partial differential equation. We give new sufficient conditions for asymptotic stability of this semigroup.

Asymptotic stability and sweeping of substochastic semigroups

Katarzyna Pichór — 2012

Annales Polonici Mathematici

A new theorem on asymptotic stability and sweeping of substochastic semigroups is proved, and applied semigroups generated by birth-death processes.

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