Extension of a stochastic Gronwall lemma
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 68 (2020) no. 1, pp. 97-104
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
A stochastic Gronwall lemma is proved in Scheutzow (2013) in the case when the exponent $p$ lies in the interval $0 \lt p \lt 1$. In this paper, we extend the lemma to the entire interval $0 \lt p \lt \infty $. We construct simple examples to illustrate the present result.
Keywords:
stochastic gronwall lemma proved scheutzow exponent lies interval paper extend lemma entire interval infty construct simple examples illustrate present result
Affiliations des auteurs :
Cloud Makasu 1
@article{10_4064_ba190524_7_5,
author = {Cloud Makasu},
title = {Extension of a stochastic {Gronwall} lemma},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
pages = {97--104},
publisher = {mathdoc},
volume = {68},
number = {1},
year = {2020},
doi = {10.4064/ba190524-7-5},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ba190524-7-5/}
}
TY - JOUR AU - Cloud Makasu TI - Extension of a stochastic Gronwall lemma JO - Bulletin of the Polish Academy of Sciences. Mathematics PY - 2020 SP - 97 EP - 104 VL - 68 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/ba190524-7-5/ DO - 10.4064/ba190524-7-5 LA - en ID - 10_4064_ba190524_7_5 ER -
Cloud Makasu. Extension of a stochastic Gronwall lemma. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 68 (2020) no. 1, pp. 97-104. doi: 10.4064/ba190524-7-5
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