STABILITY AND PERTURBATIONS OF <i>C</i><sub>0</sub>-MARKOV SEMIGROUPS ON ABSTRACT STATE SPACES

ERKURŞUN ÖZCAN N., Mukhamedov F.

38th international workshop of Infinite Dimensional Analysis and Quantum Probability and Related Topics (IDAQ), Noda, Japonya, 2 - 06 Ekim 2017, ss.143-151, (Tam Metin Bildiri)

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Basıldığı Şehir: Noda
  • Basıldığı Ülke: Japonya
  • Sayfa Sayıları: ss.143-151
  • Hacettepe Üniversitesi Adresli: Evet

Özet

Our investigation's aim is to explore stability and perturbation bounds of positive C-0-semigroups on abstract state spaces by means of the Dobrushin's ergodicity coefficient. We obtain a linear relation between the stability of the semigroup and the sensitivity of its fixed point with respect to perturbations of C-0-Markov semigroups.