Katarzyna Pichór – List of publications

1. Asymptotic stability of Markov operators corresponding to the dynamical systems with multiplicative perturbations, Annales Mathematicae Silesianae, 7 (1993), 99-108.
2. (with R. Rudnicki), Stability of Markov semigroups and applications to parabolic systems, J. Math. Anal. Appl., 215 (1997), 56-74 DOI: 10.1006/jmaa.1997.5609
3. (with R. Rudnicki), Asymptotic behaviour of Markov semigroups and applications to transport equations, Bull. Polish Acad. Sci. Math., 45 (1997), 379-397.
4. Asymptotic stability of a partial differential equation with an integral perturbation, Ann. Pol. Math., 68 (1998), 83-94.
5. (with R. Rudnicki), Markov semigroups and stability of the cell maturity distribution, J. Biol. Systems 8 (2000), 69-94 DOI: 10.1142/S0218339000000067
6. (with R. Rudnicki), Continuous Markov semigroups and stability of transport equations, J. Math. Anal. Appl., 249 (2000), 668-685 DOI: 10.1006/jmaa.2000.6968
7. (with M. Tyran-Kamińska and R. Rudnicki), Markov semigroups and their applications, in Dynamics of Dissipation, P. Garbaczewski and R. Olkiewicz (eds.), Lecture Notes in Physics, vol. 597, Springer, Berlin 2002, 215-238 DOI: 10.1007/3-540-46122-1_9
8. (with R. Rudnicki), Influence of stochastic perturbation on prey-predator systems, Mathematical Biosciences 206 (2007), 108-119 DOI: 10.1016/j.mbs.2006.03.006
9. (with A. Bobrowski, T. Lipniacki and R. Rudnicki), Asymptotic behavior of distributions of mRNA and protein levels in a model of stochastic gene expression, J. Math. Anal. Appl. 333 (2007), 753-769. DOI: 10.1016/j.jmaa.2006.11.043
10. Asymptotic stability and sweeping of substochastic semigroups, Ann. Polon. Math. 103 (2012), 123-134 DOI:10.4064/ap103-2-2
11. (with J. Banasiak and R. Rudnicki) Asynchronous exponential growth of a general structured population model, Acta Appl. Math. 119 (2012), 149-166 DOI: 10.1007/s10440-011-9666-y
12. (with R. Rudnicki and M. Tyran-Kamińska) Stochastic semigroups and their applications to biological models, Demonstratio Mathematica 45 (2012), 463-494 DM
13. Asymptotic behaviour of a structured population model, Mathematical and Computer Modelling 57 (2013), 1240-1249 DOI: 10.1016/j.mcm.2012.10.027
14. (with R. Rudnicki) Asymptotic decomposition of substochastic operators and semigroups, J. Math. Anal. Appl. 436 (2016), 305-321 DOI: 10.1016/j.jmaa.2015.12.009
15. (with R. Rudnicki) Asymptotic decomposition of substochastic semigroups and applications, Stochastics and Dynamics 18 (2018), 1850001-18. DOI: 10.1142/S0219493718500016
16. (with R. Rudnicki) Stability of stochastic semigroups and applications to Stein's neuronal model, Discrete Contin. Dyn. Syst. B 23 (2018), 377-385. DOI: 10.3934/dcdsb.2018026
17. (with R. Rudnicki) Applications of stochastic semigroups to cell cycle models, submitted to: Discrete Contin. Dyn. Syst. B