A generalization of the Poisson driven stochastic differential equation is considered. A sufficient condition for asymptotic stability of a discrete time-nonhomogeneous Markov process is proved.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap78-1-2, author = {Marta Tyran-Kami\'nska}, title = {Stochastic differential equation driven by a pure-birth process}, journal = {Annales Polonici Mathematici}, volume = {79}, year = {2002}, pages = {11-23}, zbl = {1023.34051}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap78-1-2} }
Marta Tyran-Kamińska. Stochastic differential equation driven by a pure-birth process. Annales Polonici Mathematici, Tome 79 (2002) pp. 11-23. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap78-1-2/