A class of stochastic Gronwall’s inequality and its application

Abstract This paper puts forward the basic form of stochastic Gronwall’s inequality and uses, respectively, the iterative method, the integral method and the martingale representation method to prove it. Then it presents an application to prove a comparison theorem of Lp $L^{p}$ solutions for one-di...

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Bibliographic Details
Main Authors: Xin Wang, Shengjun Fan
Format: Article
Language:English
Published: SpringerOpen 2018-12-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-018-1932-3